Solveeit Logo

Question

Question: The period of rotation of the sun at its equator is T and its radius is R. Then the Doppler waveleng...

The period of rotation of the sun at its equator is T and its radius is R. Then the Doppler wavelength shift expected for light with wavelength l emitted from the edge of the sun's disc is – [c = speed of light]

A

± RλcT\frac{R\lambda}{cT}

B

± Tλ2πRc\frac{T\lambda}{2\pi Rc}

C

± 2πRcTλ\frac{2\pi Rc}{T\lambda}

D

± 2πRλcT\frac{2\pi R\lambda}{cT}

Answer

± 2πRλcT\frac{2\pi R\lambda}{cT}

Explanation

Solution

Dl = ± vc\frac { \mathrm { v } } { \mathrm { c } } l

v = Rw = R2π T\frac { \mathrm { R } 2 \pi } { \mathrm {~T} }

Dl = ± 2πRλcT\frac { 2 \pi \mathrm { R } \lambda } { \mathrm { cT } }