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Electromagnetic Spectrum Questions in English

Class 12 Physics · Electromagnetic waves · Electromagnetic Spectrum

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51
EasyMCQ
Infrared radiation can be detected by $......$.
A
Spectrometer
B
Bolometer
C
Photocell
D
Geiger tube

Solution

(B) Infrared radiation is a type of electromagnetic radiation with wavelengths longer than those of visible light.
It is primarily detected by measuring the heat it produces when absorbed by a material.
$A$ $Bolometer$ is a device used to measure the power of incident electromagnetic radiation via the heating of a material with a temperature-dependent electrical resistance.
Therefore,infrared radiation can be detected by a $Bolometer$.
52
EasyMCQ
Which of the following electromagnetic waves has the longest wavelength?
A
Radio waves
B
Ultraviolet radiation
C
$X$-rays
D
Visible light

Solution

(A) The electromagnetic spectrum is arranged in order of increasing frequency and decreasing wavelength.
Radio waves have the lowest frequency and the longest wavelength in the electromagnetic spectrum.
Therefore,among the given options,radio waves have the longest wavelength.
53
EasyMCQ
$A$ bolometer is used to detect ...... .
A
Infrared rays
B
Ultraviolet rays
C
$X$-rays
D
Gamma rays

Solution

(A) bolometer is a device used for measuring the power of incident electromagnetic radiation via the heating of a material with a temperature-dependent electrical resistance. It is primarily used to detect infrared $(IR)$ radiation. When infrared radiation falls on the bolometer,it causes a change in temperature,which leads to a change in electrical resistance,allowing for the detection and measurement of the radiation.
54
EasyMCQ
Which electromagnetic waves are used in the medical field to destroy cancer cells?
A
Radio waves
B
Infrared waves
C
Gamma rays
D
Ultraviolet rays

Solution

(C) Gamma rays possess high energy and high penetrating power.
In the medical field,they are used in radiotherapy to target and destroy cancerous cells by damaging their $DNA$.
Care is taken to focus the beam precisely so that healthy cells are minimally affected.
Therefore,the correct option is $C$.
55
EasyMCQ
The frequency range from $3\, MHz$ to $30\, MHz$ is known as:
A
Audio band
B
High frequency band
C
Very high frequency band
D
Medium frequency band

Solution

(B) The electromagnetic spectrum is divided into various frequency bands for communication purposes.
According to the standard classification:
$1$. Medium frequency $(MF)$ range is $0.3-3\, MHz$.
$2$. High frequency $(HF)$ range is $3-30\, MHz$.
$3$. Very high frequency $(VHF)$ range is $30-300\, MHz$.
Therefore,the frequency range from $3\, MHz$ to $30\, MHz$ is known as the High frequency $(HF)$ band.
56
EasyMCQ
Which of the following is responsible for the greenhouse effect?
A
Infrared rays
B
Ultraviolet rays
C
$X$-rays
D
Radio waves

Solution

(A) The greenhouse effect is primarily caused by the trapping of heat within the Earth's atmosphere.
Solar radiation reaches the Earth,and the surface absorbs this energy,re-emitting it as thermal radiation.
Greenhouse gases (such as $CO_2$,$CH_4$,and water vapor) absorb this outgoing thermal radiation,which corresponds to the infrared region of the electromagnetic spectrum.
Therefore,infrared rays are responsible for the greenhouse effect.
57
EasyMCQ
Which of the following electromagnetic waves has the shortest wavelength?
A
Radio waves
B
Visible light
C
Ultraviolet rays
D
Microwaves

Solution

(C) The electromagnetic spectrum in order of increasing frequency (and decreasing wavelength) is: Radio waves,Microwaves,Infrared,Visible light,Ultraviolet,$X$-rays,and Gamma rays.
Comparing the given options:
$1$. Radio waves: Longest wavelength.
$2$. Microwaves: Shorter than radio waves.
$3$. Visible light: Shorter than microwaves.
$4$. Ultraviolet rays: Shorter than visible light.
Therefore,among the given options,Ultraviolet rays have the shortest wavelength.
58
EasyMCQ
Which of the following represents the wavelength range of infrared rays?
A
$10^{-4} \, cm$
B
$10^{-5} \, cm$
C
$10^{-6} \, cm$
D
$10^{-7} \, cm$

Solution

(A) The electromagnetic spectrum classifies waves based on their wavelength or frequency.
Infrared rays have wavelengths ranging from approximately $1 \, mm$ to $700 \, nm$ ($10^{-3} \, m$ to $7 \times 10^{-7} \, m$).
Converting these values to centimeters $(1 \, m = 100 \, cm)$:
$10^{-3} \, m = 10^{-1} \, cm$
$7 \times 10^{-7} \, m = 7 \times 10^{-5} \, cm$.
Comparing the given options,$10^{-4} \, cm$ falls within the infrared wavelength range,while the other values are closer to or within the visible and ultraviolet regions.
Therefore,the correct option is $A$.
59
EasyMCQ
What is the frequency range of $AM$ radio waves?
A
Less than $30 \, MHz$
B
Greater than $30 \, MHz$
C
Less than $20000 \, Hz$
D
Greater than $20000 \, Hz$

Solution

(A) The $AM$ (Amplitude Modulation) radio band typically operates in the frequency range of $535 \, kHz$ to $1605 \, kHz$.
Since $1 \, MHz = 1000 \, kHz$,this range is equivalent to $0.535 \, MHz$ to $1.605 \, MHz$.
Comparing this to the given options,this range is clearly less than $30 \, MHz$.
60
EasyMCQ
In the electromagnetic spectrum,the visible light region lies between which of the following?
A
Radio waves and microwaves
B
Ultraviolet rays and $X$-rays
C
Infrared rays and ultraviolet rays
D
Infrared rays and microwaves

Solution

(C) The electromagnetic spectrum is arranged in order of increasing frequency or decreasing wavelength. The order is: Radio waves,Microwaves,Infrared rays,Visible light,Ultraviolet rays,$X$-rays,and Gamma rays.
Visible light lies between Infrared rays and Ultraviolet rays in the electromagnetic spectrum.
Therefore,the correct option is $C$.
61
EasyMCQ
What is the wavelength range of visible light?
A
$10 \, \mathring{A}$ to $100 \, \mathring{A}$
B
$4000 \, \mathring{A}$ to $7000 \, \mathring{A}$
C
$8000 \, \mathring{A}$ to $10000 \, \mathring{A}$
D
$10000 \, \mathring{A}$ to $15000 \, \mathring{A}$

Solution

(B) The visible spectrum is the portion of the electromagnetic spectrum that is visible to the human eye.
It typically ranges from approximately $4000 \, \mathring{A}$ (violet) to $7000 \, \mathring{A}$ (red).
This corresponds to a frequency range of approximately $4 \times 10^{14} \, \text{Hz}$ to $7.5 \times 10^{14} \, \text{Hz}$.
62
EasyMCQ
What is the frequency range of microwaves?
A
$0.3 \, GHz$ to $300 \, GHz$
B
$54 \, MHz$ to $890 \, MHz$
C
$3 \, GHz$ to $300 \, GHz$
D
$4 \times 10^{14} \, Hz$ to $7 \times 10^{14} \, Hz$

Solution

(A) The electromagnetic spectrum is categorized based on frequency and wavelength. Microwaves are a part of the electromagnetic spectrum with frequencies typically ranging from $0.3 \, GHz$ to $300 \, GHz$ (or $3 \times 10^8 \, Hz$ to $3 \times 10^{11} \, Hz$). Among the given options,the range $0.3 \, GHz$ to $300 \, GHz$ is the standard definition for microwaves.
63
EasyMCQ
Which of the following electromagnetic waves has the lowest frequency?
A
Radio waves
B
Infrared waves
C
Microwaves
D
$X$-rays

Solution

(A) The electromagnetic spectrum is arranged in order of increasing frequency as follows: Radio waves < Microwaves < Infrared < Visible light < Ultraviolet < $X$-rays < Gamma rays.
Since radio waves appear at the beginning of this sequence,they possess the lowest frequency among the given options.
64
EasyMCQ
In which part of the Earth's atmosphere is the ozone layer located?
A
Troposphere
B
Stratosphere
C
Ionosphere
D
Mesosphere

Solution

(B) The ozone layer or ozone shield refers to a region of Earth's stratosphere that absorbs most of the Sun's ultraviolet $(UV)$ radiation.
It contains high concentrations of ozone $(O_3)$ relative to other parts of the atmosphere,although still very small relative to other gases in the stratosphere.
65
EasyMCQ
What is the use or importance of the ozone layer?
A
It prevents ultraviolet radiation from reaching the Earth.
B
It reduces the greenhouse effect.
C
It reflects radio waves.
D
It controls the $O_2/H_2$ ratio.

Solution

(A) The ozone layer is located in the stratosphere of the Earth's atmosphere. Its primary function is to absorb most of the Sun's harmful ultraviolet $(UV)$ radiation. By filtering out these high-energy rays,it protects living organisms on Earth from potential damage such as skin cancer,cataracts,and harm to ecosystems. Therefore,the correct option is $A$.
66
EasyMCQ
The frequency range from $3 \times 10^9 \, Hz$ to $3 \times 10^{10} \, Hz$ is known as:
A
High Frequency $(HF)$ band
B
Super High Frequency $(SHF)$ band
C
Ultra High Frequency $(UHF)$ band
D
Very High Frequency $(VHF)$ band

Solution

(B) The electromagnetic spectrum is categorized based on frequency ranges.
$3 \times 10^9 \, Hz$ is equivalent to $3 \, GHz$.
$3 \times 10^{10} \, Hz$ is equivalent to $30 \, GHz$.
The frequency range from $3 \, GHz$ to $30 \, GHz$ is classified as the Super High Frequency $(SHF)$ band.
67
EasyMCQ
The frequencies of $\gamma$-rays,$X$-rays,and ultraviolet radiations are $B, A,$ and $C$ respectively. Which of the following relations is correct?
A
$B > A > C$
B
$A > B > C$
C
$C > B > A$
D
$A > C > B$

Solution

(A) The electromagnetic spectrum is ordered by increasing wavelength and decreasing frequency.
The order of frequency for the given radiations is:
Frequency of $\gamma$-rays > Frequency of $X$-rays > Frequency of ultraviolet radiations.
Given that the frequencies are $B, A,$ and $C$ respectively:
$B$ (frequency of $\gamma$-rays) > $A$ (frequency of $X$-rays) > $C$ (frequency of ultraviolet radiations).
Therefore,the correct relation is $B > A > C$.
68
EasyMCQ
What is the approximate wavelength range of the electromagnetic spectrum?
A
$10^{-8} \ m$ to $10^{15} \ m$
B
$10^{-15} \ m$ to $10^{8} \ m$
C
$10^{-15} \ m$ to $10^{15} \ m$
D
$10^{8} \ m$ to $10^{15} \ m$

Solution

(B) The electromagnetic spectrum encompasses a vast range of wavelengths.
Gamma rays have the shortest wavelengths,starting from approximately $10^{-16} \ m$ to $10^{-10} \ m$.
Radio waves have the longest wavelengths,extending up to $10^{8} \ m$ or even longer.
Therefore,the broad range of the electromagnetic spectrum is approximately from $10^{-16} \ m$ to $10^{8} \ m$.
Among the given options,the range $10^{-15} \ m$ to $10^{8} \ m$ is the most accurate representation of the electromagnetic spectrum.
69
EasyMCQ
The electromagnetic waves with wavelengths $10^7 \ m$,$10^{-10} \ m$,and $10^{-7} \ m$ belong to which categories respectively?
A
Radio waves,$X$-rays,Visible light
B
$X$-rays,Visible light,Radio waves
C
$X$-rays,Visible light,$\gamma$-rays
D
Visible light,$\gamma$-rays,$X$-rays

Solution

(A) The electromagnetic spectrum is categorized by wavelength ranges:
$1$. Radio waves have long wavelengths,typically $10^3 \ m$ to $10^{-1} \ m$ (or higher,up to $10^7 \ m$ for long-wave radio).
$2$. $X$-rays have very short wavelengths,typically in the range of $10^{-8} \ m$ to $10^{-12} \ m$. Thus,$10^{-10} \ m$ corresponds to $X$-rays.
$3$. Visible light has wavelengths in the range of approximately $4 \times 10^{-7} \ m$ to $7 \times 10^{-7} \ m$. Thus,$10^{-7} \ m$ (or $100 \ nm$) is close to the ultraviolet/visible boundary,but in the context of standard multiple-choice options,it is categorized as visible light.
Therefore,$10^7 \ m$ is a Radio wave,$10^{-10} \ m$ is an $X$-ray,and $10^{-7} \ m$ is Visible light.
70
EasyMCQ
Infrared rays can be detected by .......
A
Spectrometer
B
Spirometer
C
Nanometer
D
Photometer

Solution

(A) Infrared rays are electromagnetic waves with wavelengths longer than visible light.
They are commonly detected using a spectrometer,which can analyze the spectral distribution of radiation.
Thermopiles,bolometers,and infrared photographic film are also used for detection,but among the given options,a spectrometer is the correct instrument for analyzing and detecting these rays.
71
MediumMCQ
The power of a source is $4 \, kW$. If it produces $10^{20}$ photons in $1 \, s$,then the radiation emitted from this source belongs to which part of the electromagnetic spectrum?
A
$\gamma -$ rays
B
$X -$ rays
C
Ultraviolet rays
D
Microwaves

Solution

(B) The power of the source is given by $P = n \cdot E_{photon} = n \cdot \frac{hc}{\lambda}$,where $n$ is the number of photons emitted per second.
From this,the wavelength $\lambda$ is given by $\lambda = \frac{nhc}{P}$.
Substituting the given values: $n = 10^{20}$,$h = 6.625 \times 10^{-34} \, J \cdot s$,$c = 3 \times 10^8 \, m/s$,and $P = 4 \times 10^3 \, W$.
$\lambda = \frac{10^{20} \times 6.625 \times 10^{-34} \times 3 \times 10^8}{4 \times 10^3} \, m$.
$\lambda = \frac{19.875 \times 10^{-6}}{4 \times 10^3} \, m = 4.96875 \times 10^{-9} \, m \approx 5 \times 10^{-9} \, m$.
This wavelength range ($10^{-8} \, m$ to $10^{-11} \, m$) corresponds to $X -$ rays.
72
MediumMCQ
Electromagnetic waves with wavelengths ranging from $3 \times 10^{-3} \, m$ to $1 \, m$ are used in satellite communication. What is the corresponding frequency range? (Given $c = 3 \times 10^8 \, m/s$)
A
$3 \, MHz$ to $10^8 \, MHz$
B
$3 \times 10^2 \, MHz$ to $10^5 \, MHz$
C
$3 \times 10^1 \, MHz$ to $10^4 \, MHz$
D
$3 \, MHz$ to $10^6 \, MHz$

Solution

(B) Given: $\lambda_1 = 3 \times 10^{-3} \, m$,$\lambda_2 = 1 \, m$,and $c = 3 \times 10^8 \, m/s$.
The frequency $f$ is given by $f = \frac{c}{\lambda}$.
For $\lambda_1 = 3 \times 10^{-3} \, m$:
$f_1 = \frac{3 \times 10^8}{3 \times 10^{-3}} = 10^{11} \, Hz = 10^5 \, MHz$.
For $\lambda_2 = 1 \, m$:
$f_2 = \frac{3 \times 10^8}{1} = 3 \times 10^8 \, Hz = 3 \times 10^2 \, MHz$.
Thus,the frequency range is $3 \times 10^2 \, MHz$ to $10^5 \, MHz$.
73
MediumMCQ
If the energy of an electromagnetic wave is $14.4 \, keV$,which region of the electromagnetic spectrum does it belong to?
A
Infrared waves
B
Radio waves
C
$X$-rays
D
$\gamma$-rays

Solution

(C) The energy of the photon is given by $E = 14.4 \, keV = 14.4 \times 10^3 \times 1.6 \times 10^{-19} \, J$.
Using the relation $\lambda = \frac{hc}{E}$,where $h = 6.63 \times 10^{-34} \, J \cdot s$ and $c = 3 \times 10^8 \, m/s$:
$\lambda = \frac{6.63 \times 10^{-34} \times 3 \times 10^8}{14.4 \times 10^3 \times 1.6 \times 10^{-19}} \approx 0.86 \times 10^{-10} \, m = 0.86 \, \mathring{A}$.
Since the wavelength is in the range of $0.01 \, \mathring{A}$ to $100 \, \mathring{A}$,this electromagnetic wave belongs to the $X$-ray region.
74
EasyMCQ
Which of the following electromagnetic radiations has the smallest wavelength?
A
$\gamma-$ rays
B
Microwaves
C
$UV$ waves
D
$X-$ rays

Solution

(A) The electromagnetic spectrum is ordered by frequency and wavelength. The order of increasing wavelength is: $\gamma-$ rays < $X-$ rays < $UV$ rays < Visible light < Infrared < Microwaves < Radio waves.
Since $\gamma-$ rays have the highest frequency,they possess the smallest wavelength among the given options.
75
EasyMCQ
Which of the following radiations has the highest frequency?
A
Infrared
B
Visible light
C
Radio waves
D
$\gamma$-rays

Solution

(D) The electromagnetic spectrum in order of increasing frequency is: radio waves,microwaves,infrared radiation,visible light,ultraviolet radiation,$X$-rays,and gamma rays.
The frequency of gamma rays is the highest among these,typically being greater than $3 \times 10^{19} \text{ Hz}$.
Therefore,$\gamma$-rays have the maximum frequency in the electromagnetic spectrum.
76
EasyMCQ
The decreasing order of wavelength of infrared,microwave,ultraviolet,and gamma rays is:
A
microwave,infrared,ultraviolet,gamma rays
B
gamma rays,ultraviolet,infrared,microwaves
C
microwaves,gamma rays,infrared,ultraviolet
D
infrared,microwave,ultraviolet,gamma rays

Solution

(A) The electromagnetic spectrum in terms of decreasing wavelength is given by:
Microwaves > Infrared > Ultraviolet > Gamma rays.
Therefore,the correct decreasing order is:
$\lambda_{\text{Microwave}} > \lambda_{\text{Infrared}} > \lambda_{\text{Ultraviolet}} > \lambda_{\text{Gamma rays}}$.
77
MediumMCQ
The energy of the electromagnetic waves is of the order of $15\, keV$. To which part of the spectrum does it belong?
A
$\gamma$-rays
B
$X$-rays
C
Infra-red rays
D
Ultraviolet rays

Solution

(B) The energy $E$ of a photon is related to its wavelength $\lambda$ by the formula $\lambda = \frac{hc}{E}$.
Given,$E = 15\, keV = 15 \times 10^3\, eV$.
The value of $hc$ is approximately $1240\, eV\, nm$.
Substituting these values,we get $\lambda = \frac{1240\, eV\, nm}{15 \times 10^3\, eV} \approx 0.083\, nm$.
The wavelength range for $X$-rays typically spans from $1\, nm$ to $10^{-3}\, nm$.
Since $0.083\, nm$ falls within this range,the electromagnetic waves belong to the $X$-ray part of the spectrum.
78
DifficultMCQ
$A$ source of power $4 \ kW$ emits $10^{20}$ photons in $1 \ s$. In which region of the electromagnetic spectrum does the emitted radiation lie?
A
$\gamma$-rays
B
$X$-rays
C
Ultraviolet light
D
Microwaves

Solution

(B) Given: Power $P = 4 \ kW = 4000 \ W$,Number of photons $n = 10^{20}$,Time $t = 1 \ s$.
The energy of one photon is given by $E = \frac{P \cdot t}{n}$.
$E = \frac{4000 \times 1}{10^{20}} = 4 \times 10^{-17} \ J$.
To find the frequency $\nu$,we use $E = h\nu$,where $h = 6.63 \times 10^{-34} \ J \cdot s$.
$\nu = \frac{E}{h} = \frac{4 \times 10^{-17}}{6.63 \times 10^{-34}} \approx 6.03 \times 10^{16} \ Hz$.
The frequency range for $X$-rays is typically $3 \times 10^{16} \ Hz$ to $3 \times 10^{19} \ Hz$.
Since the calculated frequency falls within this range,the radiation lies in the $X$-ray region.
79
MediumMCQ
If a source of power $4 \ kW$ produces $10^{20}$ photons/second,the radiation belongs to a part of the spectrum called
A
$\gamma$-rays
B
$X$-rays
C
Ultraviolet rays
D
Microwaves

Solution

(B) The power $P$ of the source is given by $P = n \cdot E_{photon} = n \cdot h \nu$,where $n$ is the number of photons per second,$h$ is Planck's constant,and $\nu$ is the frequency.
Given $P = 4 \ kW = 4 \times 10^3 \ W$ and $n = 10^{20} \ photons/s$.
Rearranging for frequency: $\nu = \frac{P}{n \cdot h}$.
Substituting the values: $\nu = \frac{4 \times 10^3}{10^{20} \times 6.63 \times 10^{-34}} \approx 6.03 \times 10^{16} \ Hz$.
The frequency range $6 \times 10^{16} \ Hz$ falls within the $X$-ray region of the electromagnetic spectrum.
80
MediumMCQ
Match List-$I$ (Electromagnetic wave type) with List-$II$ (Its association/application) and select the correct option from the choices given below the lists:
List-$I$List-$II$
$a$. Infrared waves$i$. To treat muscular strain
$b$. Radio waves$ii$. For broadcasting
$c$. $X$-rays$iii$. To detect fracture of bones
$d$. Ultraviolet rays$iv$. Absorbed by the ozone layer of the atmosphere
A
$a-i, b-ii, c-iv, d-iii$
B
$a-iii, b-ii, c-i, d-iv$
C
$a-i, b-ii, c-iii, d-iv$
D
$a-iv, b-iii, c-ii, d-i$

Solution

(C) $(1)$ Infrared rays are used to treat muscular strain because these are heat rays.
$(2)$ Radio waves are used for broadcasting because these waves have very long wavelengths ranging from a few centimeters to a few hundred kilometers.
$(3)$ $X$-rays are used to detect fractures of bones because they have high penetrating power but cannot penetrate through denser media like bones.
$(4)$ Ultraviolet rays are absorbed by the ozone layer of the atmosphere.
Therefore, the correct matching is $a-i, b-ii, c-iii, d-iv$.
81
MediumMCQ
Arrange the following electromagnetic radiations per quantum in the order of increasing energy :-
$A$ : Blue light
$B$ : Yellow light
$C$ : $X$-ray
$D$ : Radiowave
A
$D, B, A, C$
B
$C, A, B, D$
C
$B, A, D, C$
D
$A, B, D, C$

Solution

(A) The energy of a photon is given by $E = \frac{hc}{\lambda}$,where $h$ is Planck's constant,$c$ is the speed of light,and $\lambda$ is the wavelength.
Since $E \propto \frac{1}{\lambda}$,radiations with shorter wavelengths have higher energy.
The order of wavelengths for the given radiations is: $\lambda_{\text{Radiowave}} > \lambda_{\text{Yellow}} > \lambda_{\text{Blue}} > \lambda_{\text{X-ray}}$.
Therefore,the order of increasing energy is: $E_{\text{Radiowave}} < E_{\text{Yellow}} < E_{\text{Blue}} < E_{\text{X-ray}}$.
This corresponds to the sequence $D, B, A, C$.
82
MediumMCQ
$(i)$ The wavelength of microwaves is greater than that of $UV$-rays.
$(ii)$ The wavelength of $IR$ rays is less than that of $UV$-rays.
$(iii)$ The wavelength of microwaves is lesser than that of $IR$ rays.
$(iv)$ Gamma rays have the shortest wavelength in the electromagnetic spectrum.
Of the above statements:
A
$(i)$ and $(ii)$ are true
B
$(iii)$ and $(iv)$ are true
C
$(i)$ and $(iii)$ are true
D
$(i)$ and $(iv)$ are true

Solution

(D) The electromagnetic spectrum in increasing order of wavelength is: Gamma rays < $X$-rays < $UV$-rays < Visible light < $IR$ rays < Microwaves < Radio waves.
Evaluating the statements:
$(i)$ Microwaves have a longer wavelength than $UV$-rays. (True)
$(ii)$ $IR$ rays have a longer wavelength than $UV$-rays. (False)
$(iii)$ Microwaves have a longer wavelength than $IR$ rays. (False)
$(iv)$ Gamma rays have the shortest wavelength in the electromagnetic spectrum. (True)
Therefore,statements $(i)$ and $(iv)$ are correct.
83
EasyMCQ
$A$ charged particle oscillates about its mean equilibrium position with a frequency of $10^9 \ Hz$. The electromagnetic waves produced:
A
will have frequency of $3 \times 10^9 \ Hz$
B
will have frequency of $2 \times 10^9 \ Hz$
C
will have a wavelength of $0.8 \ m$
D
fall in the region of radiowaves.

Solution

(D) An oscillating charged particle produces electromagnetic waves of the same frequency as the oscillation frequency.
Given frequency $f = 10^9 \ Hz$.
Therefore,the frequency of the electromagnetic waves produced is $10^9 \ Hz$.
The wavelength $\lambda$ is given by the formula $\lambda = \frac{c}{f}$,where $c = 3 \times 10^8 \ m/s$ is the speed of light.
$\lambda = \frac{3 \times 10^8 \ m/s}{10^9 \ Hz} = 0.3 \ m$.
Electromagnetic waves with a frequency of $10^9 \ Hz$ (or $1 \ GHz$) fall within the microwave region,which is a part of the radio wave spectrum.
84
EasyMCQ
$A$ radar sends waves towards a distant object and receives the signal reflected by the object. These waves are:
A
Sound waves
B
Light waves
C
$IR$ waves
D
Micro waves

Solution

(D) $RADAR$ stands for $Radio$ $Detection$ $And$ $Ranging$.
It operates by transmitting electromagnetic waves,specifically microwaves,towards a target.
These waves reflect off the object and are detected by the radar receiver to determine the distance,speed,and direction of the object.
Therefore,the waves used in radar are microwaves.
85
MediumMCQ
Consider the following statements regarding the electromagnetic spectrum:
$(A)$ The wavelength of microwaves is greater than that of $UV$ rays.
$(B)$ The wavelength of $IR$ rays is less than that of $UV$ rays.
$(C)$ The wavelength of microwaves is lesser than that of $IR$ rays.
$(D)$ Gamma rays have the shortest wavelength in the electromagnetic spectrum.
Which of the above statements are true?
A
$(A)$ and $(B)$ are true
B
$(C)$ and $(D)$ are true
C
$(A)$ and $(C)$ are true
D
$(A)$ and $(D)$ are true

Solution

(D) The electromagnetic spectrum in increasing order of wavelength is: Gamma rays < $X$-rays < $UV$ rays < Visible light < $IR$ rays < Microwaves < Radio waves.
Analyzing the statements:
$(A)$ Microwaves have a longer wavelength than $UV$ rays. This is true.
$(B)$ $IR$ rays have a longer wavelength than $UV$ rays. This is false.
$(C)$ Microwaves have a longer wavelength than $IR$ rays. This is false.
$(D)$ Gamma rays have the shortest wavelength in the electromagnetic spectrum. This is true.
Therefore,statements $(A)$ and $(D)$ are correct.
86
EasyMCQ
Which of the following radiations are in correct descending order of frequencies?
A
Microwaves,Radio waves,$X$-rays,Red light
B
$X$-rays,Red light,Microwaves,Radio waves
C
$X$-rays,Radio waves,Red light,Microwaves
D
Red light,Microwaves,$X$-rays,Radio waves

Solution

(B) The electromagnetic spectrum in descending order of frequency is: $X$-rays > Ultraviolet > Visible light (Red light) > Infrared > Microwaves > Radio waves.
Comparing the given options,the correct descending order of frequencies is: $X$-rays > Red light > Microwaves > Radio waves.
Therefore,the correct option is $B$.
87
MediumMCQ
Match List-$I$ (Wavelength range of electromagnetic spectrum) with List-$II$ (Method of production of these waves) and select the correct option from the options given below the lists:
List-$I$ List-$II$
$(1)$ $700\, nm$ to $1\, mm$ $(i)$ Vibration of atoms and molecules
$(2)$ $1\, nm$ to $400\, nm$ $(ii)$ Inner shell electrons in atoms moving from one energy level to a lower level
$(3)$ $< 10^{-3}\, nm$ $(iii)$ Radioactive decay of the nucleus
$(4)$ $1\, mm$ to $0.1\, m$ $(iv)$ Magnetron valve
A
$(1)-(iv), (2)-(iii), (3)-(ii), (4)-(i)$
B
$(1)-(iii), (2)-(iv), (3)-(i), (4)-(ii)$
C
$(1)-(ii), (2)-(i), (3)-(iii), (4)-(iv)$
D
$(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)$

Solution

(D) The correct matching is as follows:
$(1)$ $700\, nm$ to $1\, mm$ corresponds to Infrared rays,which are produced by the vibration of atoms and molecules $(i)$.
$(2)$ $1\, nm$ to $400\, nm$ corresponds to Ultraviolet rays,which are produced by inner shell electrons in atoms moving from one energy level to a lower level $(ii)$.
$(3)$ $< 10^{-3}\, nm$ corresponds to Gamma rays,which are produced by the radioactive decay of the nucleus $(iii)$.
$(4)$ $1\, mm$ to $0.1\, m$ corresponds to Microwaves,which are produced by a magnetron valve $(iv)$.
Therefore,the correct sequence is $(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)$.
88
MediumMCQ
Match the List-$I$ (Phenomenon associated with electromagnetic radiation) with List-$II$ (Part of electromagnetic spectrum) and select the correct code from the choices given below:
List-$I$List-$II$
$I$. Doublet of sodium$A$. Visible radiation
$II$. Wavelength corresponding to temperature associated with the isotropic radiation filling all space$B$. Microwave
$III$. Wavelength emitted by atomic hydrogen in interstellar space$C$. Short radio wave
$IV$. Wavelength of radiation arising from two close energy levels in hydrogen$D$. $X$-rays
A
$I-A, II-B, III-C, IV-D$
B
$I-A, II-B, III-B, IV-C$
C
$I-D, II-B, III-C, IV-B$
D
$I-A, II-C, III-B, IV-D$

Solution

(B) $1$. The sodium doublet ($D$-lines) has wavelengths of approximately $589.0 \; nm$ and $589.6 \; nm$,which falls in the visible spectrum. Thus,$I-A$.
$2$. The isotropic radiation filling all space (Cosmic Microwave Background Radiation) corresponds to a temperature of about $2.7 \; K$,which peaks in the microwave region. Thus,$II-B$.
$3$. The $21 \; cm$ line radiation emitted by atomic hydrogen in interstellar space is a radio wave. Thus,$III-C$.
$4$. The radiation arising from the Lamb shift (two close energy levels in hydrogen) corresponds to a wavelength of approximately $30 \; cm$,which is in the microwave region. Thus,$IV-B$.
Therefore,the correct matching is $I-A, II-B, III-C, IV-B$.
89
EasyMCQ
If microwaves,$X$ rays,infrared,gamma rays,ultraviolet,radio waves and visible parts of the electromagnetic spectrum are denoted by $M, X, I, G, U, R$ and $V$ respectively,then which of the following is the arrangement in ascending order of wavelength?
A
$G, X, U, V, I, M, R$
B
$M, R, V, X, U, G, I$
C
$R, M, I, V, U, X, G$
D
$I, M, R, U, V, X, G$

Solution

(A) The electromagnetic spectrum in increasing order of wavelength is:
Gamma rays $(G)$ < $X$-rays $(X)$ < Ultraviolet $(U)$ < Visible $(V)$ < Infrared $(I)$ < Microwaves $(M)$ < Radio waves $(R)$.
Therefore,the ascending order is $G, X, U, V, I, M, R$.
90
MediumMCQ
Photons of an electromagnetic radiation have an energy of $11 \, keV$ each. To which region of the electromagnetic spectrum does it belong?
A
$X-$ray region
B
Ultraviolet region
C
Infrared region
D
Visible region

Solution

(A) The energy of a photon is given by $E = \frac{hc}{\lambda}$.
Rearranging for wavelength: $\lambda = \frac{hc}{E}$.
Given $E = 11 \, keV = 11 \times 10^3 \times 1.6 \times 10^{-19} \, J$.
Using $hc = 12400 \, eV \cdot \mathring{A}$,we have $\lambda = \frac{12400 \, eV \cdot \mathring{A}}{11000 \, eV} \approx 1.13 \, \mathring{A}$.
The wavelength range for $X-$rays is approximately $0.1 \, \mathring{A}$ to $100 \, \mathring{A}$.
Since $1.13 \, \mathring{A}$ falls within this range,the radiation belongs to the $X-$ray region.
91
MediumMCQ
The frequencies of $X$-rays,$\gamma$-rays,and ultraviolet rays are $a, b$,and $c$ respectively. Which of the following relations is correct?
A
$a < b; b > c$
B
$a > b; b > c$
C
$a < b < c$
D
$a = b = c$

Solution

(A) The electromagnetic spectrum is ordered by frequency. The frequency ranges are approximately as follows:
$1$. $\gamma$-rays $(b)$: $10^{19} \, Hz$ to $10^{24} \, Hz$
$2$. $X$-rays $(a)$: $10^{16} \, Hz$ to $10^{19} \, Hz$
$3$. Ultraviolet rays $(c)$: $10^{15} \, Hz$ to $10^{16} \, Hz$
Comparing these values,we find that the frequency of $\gamma$-rays $(b)$ is the highest,followed by $X$-rays $(a)$,and then ultraviolet rays $(c)$.
Therefore,$b > a > c$.
Looking at the options provided,$a < b$ and $b > c$ is the correct relationship.
92
EasyMCQ
The frequency order for $\gamma$-rays $(a)$,$X$-rays $(b)$,and $UV$-rays $(c)$ is given as:
A
$b > a > c$
B
$a > b > c$
C
$c > b > a$
D
$a > c > b$

Solution

(B) The electromagnetic spectrum is arranged in order of increasing wavelength or decreasing frequency. The order of frequency for electromagnetic waves is: $\gamma$-rays > $X$-rays > Ultraviolet $(UV)$ rays > Visible light > Infrared rays > Microwaves > Radio waves.
Given the options:
$(a) = \gamma$-rays
$(b) = X$-rays
$(c) = UV$-rays
Comparing their frequencies,we have: $\text{Frequency of } \gamma$-rays > $\text{Frequency of } X$-rays > $\text{Frequency of } UV$-rays.
Therefore,the correct order is $a > b > c$.
93
EasyMCQ
To which region of the electromagnetic spectrum does the frequency $1\, GHz$ correspond?
A
Ultraviolet rays
B
Radiowaves
C
Visible radiation
D
$X-$ rays

Solution

(B) The frequency given is $f = 1\, GHz = 10^9\, Hz$.
According to the electromagnetic spectrum classification:
- Radio waves range from frequencies less than $300\, GHz$ down to $3\, kHz$.
- Microwaves range from $300\, MHz$ to $300\, GHz$.
- Since $1\, GHz$ falls within the range of $300\, MHz$ to $300\, GHz$,it is classified as a microwave,which is a sub-category of radio waves.
- Among the given options,$1\, GHz$ belongs to the region of radio waves.
94
EasyMCQ
Which of the following electromagnetic waves are used in telecommunication?
A
$X$-rays
B
Infrared
C
Microwaves
D
Ultraviolet

Solution

(C) Electromagnetic radiation is used for communication and the transmission of information. The waves commonly used in communication systems include radio waves,microwaves,infrared radiation,and visible light. Among the given options,microwaves are specifically used in modern telecommunication systems,such as mobile networks and satellite communication.
95
EasyMCQ
Which of the following are not electromagnetic waves?
A
Cosmic rays
B
$\gamma -$ rays
C
$\beta -$ rays
D
$X-$ rays

Solution

(C) Electromagnetic waves are waves that are created as a result of vibrations between an electric field and a magnetic field. $\beta -$ rays consist of a stream of fast-moving electrons (charged particles) emitted during radioactive decay. Since they are composed of matter particles with mass and charge,they are not electromagnetic waves.
96
Medium
The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula $E = hv$ (for energy of a quantum of radiation: photon) and obtain the photon energy in units of $eV$ for different parts of the electromagnetic spectrum. In what way are the different scales of photon energies that you obtain related to the sources of electromagnetic radiation?

Solution

(N/A) The energy of a photon is given by the formula:
$E = hv = \frac{hc}{\lambda}$
Where:
$h = \text{Planck's constant} = 6.63 \times 10^{-34} \text{ J s}$
$c = \text{Speed of light} = 3 \times 10^{8} \text{ m/s}$
$\lambda = \text{Wavelength of radiation}$
To convert energy from Joules to $eV$,we divide by $1.6 \times 10^{-19} \text{ J/eV}$.
$E (eV) = \frac{6.63 \times 10^{-34} \times 3 \times 10^{8}}{\lambda \times 1.6 \times 10^{-19}} \approx \frac{1.24 \times 10^{-6}}{\lambda} \text{ eV}$.
Part of SpectrumWavelength $\lambda$ $(m)$Energy $E$ (eV)
Radio waves$10^{3}$$1.24 \times 10^{-9}$
Microwaves$10^{-2}$$1.24 \times 10^{-4}$
Infrared$10^{-5}$$0.124$
Visible$0.5 \times 10^{-6}$$2.48$
Ultraviolet$10^{-8}$$124$
$X$-rays$10^{-10}$$1.24 \times 10^{4}$
Gamma rays$10^{-12}$$1.24 \times 10^{6}$

The different scales of photon energies are related to the energy level transitions within the source. Higher energy photons (like Gamma rays) correspond to transitions between deep nuclear energy levels,while lower energy photons (like Radio waves) correspond to transitions between atomic or molecular energy levels.
97
Medium
Given below are some famous numbers associated with electromagnetic radiations in different contexts in physics. State the part of the electromagnetic spectrum to which each belongs.
$(a)$ $21 \; cm$ (wavelength emitted by atomic hydrogen in interstellar space).
$(b)$ $1057 \; MHz$ (frequency of radiation arising from two close energy levels in hydrogen; known as Lamb shift).
$(c)$ $2.7 \; K$ (temperature associated with the isotropic radiation filling all space; thought to be a relic of the 'big-bang' origin of the universe).
$(d)$ $5890 \; \mathring{A} - 5896 \; \mathring{A}$ (double lines of sodium).
$(e)$ $14.4 \; keV$ (energy of a particular transition in $^{57}Fe$ nucleus associated with a famous high-resolution spectroscopic method, Mossbauer spectroscopy).

Solution

$(a)$ Radio waves; it belongs to the short wavelength end of the electromagnetic spectrum.
$(b)$ Radio waves; it belongs to the short wavelength end.
$(c)$ Temperature, $T = 2.7 \; K$. According to Wien's displacement law, the wavelength $\lambda_{m}$ corresponding to maximum intensity is given by $\lambda_{m} = \frac{b}{T} \approx \frac{0.29 \; cm \cdot K}{2.7 \; K} \approx 0.11 \; cm$. This wavelength corresponds to microwaves.
$(d)$ This is the yellow light of the visible spectrum.
$(e)$ Transition energy is given by $E = h\nu$. For $E = 14.4 \; keV = 14.4 \times 10^3 \times 1.6 \times 10^{-19} \; J$, the frequency $\nu = \frac{E}{h} \approx 3.5 \times 10^{18} \; Hz$. This corresponds to $X$-rays.
98
Medium
Write a short note on light.

Solution

(N/A) Nature has endowed the human eye (retina) with the sensitivity to detect electromagnetic waves within a small range of the electromagnetic spectrum.
Electromagnetic radiation belonging to this region of the spectrum (wavelength of about $400 \ nm$ to $750 \ nm$) is called light.
It is mainly through light and the sense of vision that we know and interpret the world around us.
99
EasyMCQ
Give the range of wavelength of visible light.
A
$400 \ nm$ to $700 \ nm$
B
$380 \ nm$ to $750 \ nm$
C
$200 \ nm$ to $400 \ nm$
D
$750 \ nm$ to $1000 \ nm$

Solution

(B) Visible light is the portion of the electromagnetic spectrum that is visible to the human eye.
The range of wavelengths for visible light typically extends from approximately $380 \ nm$ to $750 \ nm$.
Below $380 \ nm$ lies the ultraviolet region,and above $750 \ nm$ lies the infrared region.
Therefore,the correct range is $380 \ nm$ to $750 \ nm$.
100
Medium
Write short information regarding electromagnetic waves.

Solution

(N/A) When Maxwell predicted the existence of electromagnetic waves,only visible light waves were considered electromagnetic. There was no information regarding infrared and ultraviolet rays.
At the end of the $19^{th}$ century,$X$-rays and gamma rays were discovered.
At present,light waves,$X$-rays,gamma rays,radio waves,microwaves,ultraviolet waves,and infrared waves are all part of the electromagnetic spectrum.
When electromagnetic waves are classified based on frequency (or wavelength),it is called the electromagnetic spectrum. In this spectrum,the values of wavelengths are continuously distributed. There is no distinct boundary separating different types of waves.
This classification is based on how these waves are produced or how they can be detected.

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