SATHEE: Optics Question 254

Optics Question 254

Question: In the spectrum of light of a luminous heavenly body the wavelength of a spectral line is measured to be 4747 Å while actual wavelength of the line is 4700 Å. The relative velocity of the heavenly body with respect to earth will be (velocity of light is $3 \times 10^{8} m / s$ )

[MP PMT/PET 1998]

Options:

A) $3 \times 10^{5} m / s$ moving towards the earth

B) $3 \times 10^{5} m / s$ moving away from the earth

C) $3 \times 10^{6} m / s$ moving towards the earth

D) $3 \times 10^{6} m / s$ moving away from the earth

Show Answer

Answer:

Correct Answer: D

Solution:

$Δ λ = \frac{v_{s}}{c} λ \Rightarrow v_{s} = \frac{Δ λ . c}{λ} = \frac{47 \times 3 \times 10^{8}}{4700}$

$= 3 \times 10^{6} m / s$ away from earth

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Optics Question 254

Question: In the spectrum of light of a luminous heavenly body the wavelength of a spectral line is measured to be 4747 Å while actual wavelength of the line is 4700 Å. The relative velocity of the heavenly body with respect to earth will be (velocity of light is 3×108m/s )

Options:

Answer:

Solution:

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Question: In the spectrum of light of a luminous heavenly body the wavelength of a spectral line is measured to be 4747 Å while actual wavelength of the line is 4700 Å. The relative velocity of the heavenly body with respect to earth will be (velocity of light is $3 \times 10^{8} m / s$ )