SATHEE: Optics Question 148

Optics Question 148

Question: In hydrogen spectrum the wavelength of $H_{α}$ line is 656 nm whereas in the spectrum of a distant galaxy, $H_{α}$ line wavelength is 706 nm. Estimated speed of the galaxy with respect to earth is

[IIT-JEE 1999; UPSEAT 2003]

Options:

A) $2 \times 10^{8} m / s$

B) $2 \times 10^{7} m / s$

C) $2 \times 10^{6} m / s$

D) $2 \times 10^{5} m / s$

Show Answer

Answer:

Correct Answer: B

Solution:

$v = \frac{c Δ λ}{λ} = \frac{3 \times 10^{8} \times (706 - 656)}{656} = \frac{1500}{656} \times 10^{7}$

$= 2 \times 10^{7} m / s$

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Optics Question 148

Question: In hydrogen spectrum the wavelength of Hα line is 656 nm whereas in the spectrum of a distant galaxy, Hα line wavelength is 706 nm. Estimated speed of the galaxy with respect to earth is

Options:

Answer:

Solution:

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Question: In hydrogen spectrum the wavelength of $H_{α}$ line is 656 nm whereas in the spectrum of a distant galaxy, $H_{α}$ line wavelength is 706 nm. Estimated speed of the galaxy with respect to earth is