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Concept explainers
(a)
The apparent
(a)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The actual wavelength of light is
The distance of galaxy is
Formula used:
Write the expression for velocity of galaxy.
Here,
Write the expression for time dilation constant.
Here,
Substitute
Write the expression for Doppler wavelength shift for light.
Here,
Substitute
Calculation:
Substitute
Conclusion:
Thus, the apparent wavelength of light is
(b)
The apparent wavelength of light.
(b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The actual wavelength of light is
The distance of galaxy is
Formula used:
Write the expression for velocity of galaxy.
Here,
Write the expression for time dilation constant.
Here,
Substitute
Write the expression for Doppler wavelength shift for light.
Here,
Substitute
Calculation:
Substitute
Conclusion:
Thus, the apparent wavelength of light is
(c)
The apparent wavelength of light.
(c)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The actual wavelength of light is
The distance of galaxy is
Formula used:
Write the expression for velocity of galaxy.
Here,
Write the expression for time dilation constant.
Here,
Substitute
Write the expression for Doppler wavelength shift for light.
Here,
Substitute
Calculation:
Substitute
Conclusion:
Thus, the apparent wavelength of light is
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Physics for Scientists and Engineers
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