Question 107: Wave Optics

Question

For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7 nm. The value of v is :

Accepted Answer

$${\lambda _{obs}} = {\lambda _{source}}\sqrt {{{1 + {v \over C}} \over {1 - {v \over C}}}} $$
For $$v <  < C$$,
$${{670.7} \over {670}} = 1 + {v \over C}$$
$$ \Rightarrow v = {{0.7} \over {670}} 	imes 3 	imes {10^8}$$ m/s
$$ \Rightarrow v \simeq 3.13 	imes {10^5}$$ m/s

Answer

3 $$	imes$$ 10
8
ms
$$-$$1

Answer

3 $$	imes$$ 10
10
ms
$$-$$1

Answer

3.13 $$	imes$$ 10
5
ms
$$-$$1

Answer

4.48 $$	imes$$ 10
5
ms
$$-$$1

Wave Optics

For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7 nm. The value of v is :

Choose the correct answer: