(A) Intensity of radiation is defined as the energy incident per unit area per unit time: $I = \frac{E}{A \cdot t}$.For a photon of frequency $f$,the

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(A) Intensity of radiation is defined as the energy incident per unit area per unit time: $I = \frac{E}{A \cdot t}$.For a photon of frequency $f$,the energy is $E = hf$. Thus,the total energy incident is $E_{total} = N \cdot hf$.For surface $A$: $I_A = \frac{n \cdot hf}{A \cdot t}$.For surface $B$: $I_B = \frac{(2n) \cdot h(3f)}{A \cdot (4t)} = \frac{6nhf}{4At} = \frac{3nhf}{2At}$.Taking the ratio: $\frac{I_A}{I_B} = \frac{nhf}{At} \cdot \frac{2At}{3nhf} = \frac{2}{3}$.Therefore,the ratio is $2: 3$.

Class 12 Physics Dual Nature of Radiation and matter Particle Nature of Light : Photon

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Consider two black bodies $A$ and $B$ having equal surface areas. On the surface of $A$,$n$ photons of frequency $f$ are incident perpendicularly in a time $t$. On the surface of $B$,$2n$ photons of frequency $3f$ are incident perpendicularly in a time $4t$. The ratio of average intensity of radiation on surface $A$ to that on surface $B$ is

TS EAMCET 2023 All TS EAMCET

A
$2: 3$
B
$3: 2$
C
$1: 12$
D
$1: 24$

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Dual Nature of Radiation and matter

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Particle Nature of Light : Photon

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The energy of a photon with a wavelength of $450 \, nm$ is ............

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Monochromatic light of frequency $6 \times 10^{14} \,Hz$ is produced by a laser. The power emitted is $2 \times 10^{-3} \,W$. How many photons per second on an average are emitted by the source? (Given $h = 6.63 \times 10^{-34} \,Js$)

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$A$ photon,an electron,and a uranium nucleus all have the same wavelength. The one with the most energy is:

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The energy flux of sunlight reaching the surface of the earth is $1.388 \times 10^{3} \; W/m^{2}$. How many photons (nearly) per square metre are incident on the Earth per second? Assume that the photons in the sunlight have an average wavelength of $550 \; nm$.

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$A$ photon has a wavelength of $3 \,nm$. Its momentum and energy, respectively, will be:
$[h = 6.63 \times 10^{-34} \,Js, c = 3 \times 10^8 \,m/s]$

DifficultMHT CET 2021

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The energy of a photon with a wavelength of $450 \, nm$ is ............

Monochromatic light of frequency $6 \times 10^{14} \,Hz$ is produced by a laser. The power emitted is $2 \times 10^{-3} \,W$. How many photons per second on an average are emitted by the source? (Given $h = 6.63 \times 10^{-34} \,Js$)

$A$ photon,an electron,and a uranium nucleus all have the same wavelength. The one with the most energy is:

The energy flux of sunlight reaching the surface of the earth is $1.388 \times 10^{3} \; W/m^{2}$. How many photons (nearly) per square metre are incident on the Earth per second? Assume that the photons in the sunlight have an average wavelength of $550 \; nm$.

$A$ photon has a wavelength of $3 \,nm$. Its momentum and energy, respectively, will be: $[h = 6.63 \times 10^{-34} \,Js, c = 3 \times 10^8 \,m/s]$

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$A$ photon has a wavelength of $3 \,nm$. Its momentum and energy, respectively, will be:
$[h = 6.63 \times 10^{-34} \,Js, c = 3 \times 10^8 \,m/s]$