(B) The Doppler effect for light when the source is moving away from the observer is given by the formula: $\nu' = \nu \sqrt{\frac{1 - v/c}{1 + v/c}}$

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(B) The Doppler effect for light when the source is moving away from the observer is given by the formula: $\nu' = \nu \sqrt{\frac{1 - v/c}{1 + v/c}}$.For non-relativistic speeds or specific approximations,the formula $\nu' = \nu (1 - v/c)$ is often used in introductory physics contexts.Given: $\nu = 4 \times 10^7 \text{ Hz}$,$v = 0.2c$.Using the formula $\nu' = \nu (1 - v/c)$:$\nu' = 4 \times 10^7 \times (1 - 0.2) = 4 \times 10^7 \times 0.8 = 3.2 \times 10^7 \text{ Hz}$.

Class 12 Physics Wave Optics Doppler's Effect of Light

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$A$ rocket is moving away from the Earth at a speed of $0.2c$,where $c$ is the speed of light. It emits a signal of frequency $4 \times 10^7 \text{ Hz}$. What will be the frequency observed by an observer on the Earth?

A
$4 \times 10^6 \text{ Hz}$
B
$3.2 \times 10^7 \text{ Hz}$
C
$3 \times 10^6 \text{ Hz}$
D
$5 \times 10^7 \text{ Hz}$

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Wave Optics

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Doppler's Effect of Light

If a star emitting light of wavelength $5000\,\mathring{A}$ is moving towards Earth with a velocity of $1.5 \times 10^6\,\text{m/s}$,then the shift in the wavelength due to Doppler's effect will be......$\mathring{A}$

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If the velocity of a galaxy relative to the Earth is $1.2 \times 10^6 \, m/s$,then the percentage increase in the wavelength of light from the galaxy as compared to a similar source on Earth will be ...............$\%$

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When the wavelength of light coming from a distant star is measured,it is found to be shifted towards the red end of the spectrum. What is the conclusion?

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$A$ star is moving away from the Earth. An observer on the Earth will see the wavelength of light coming from the star as:

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An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency $10 \ GHz$. What is the frequency of the microwave measured by the observer? (Speed of light $c = 3 \times 10^8 \ ms^{-1}$)

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$A$ rocket is moving away from the Earth at a speed of $0.2c$,where $c$ is the speed of light. It emits a signal of frequency $4 \times 10^7 \text{ Hz}$. What will be the frequency observed by an observer on the Earth?

Similar Questions

If a star emitting light of wavelength $5000\,\mathring{A}$ is moving towards Earth with a velocity of $1.5 \times 10^6\,\text{m/s}$,then the shift in the wavelength due to Doppler's effect will be......$\mathring{A}$

If the velocity of a galaxy relative to the Earth is $1.2 \times 10^6 \, m/s$,then the percentage increase in the wavelength of light from the galaxy as compared to a similar source on Earth will be ...............$\%$

When the wavelength of light coming from a distant star is measured,it is found to be shifted towards the red end of the spectrum. What is the conclusion?

$A$ star is moving away from the Earth. An observer on the Earth will see the wavelength of light coming from the star as:

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency $10 \ GHz$. What is the frequency of the microwave measured by the observer? (Speed of light $c = 3 \times 10^8 \ ms^{-1}$)

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