The time period of rotation of the sun is 25 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The Doppler shift $\Delta \lambda$ is given by the formula $\Delta \lambda = \lambda \frac{v}{c}$,where $v$ is the tangential velocity of the sun'

Vedclass · Accepted Answer

$0.04$

Vedclass · Answer

(A) The Doppler shift $\Delta \lambda$ is given by the formula $\Delta \lambda = \lambda \frac{v}{c}$,where $v$ is the tangential velocity of the sun's surface and $c$ is the speed of light.First,calculate the angular velocity $\omega = \frac{2\pi}{T}$,where $T = 25 \ 	ext{days} = 25 	imes 24 	imes 3600 \ 	ext{s}$.$\omega = \frac{2\pi}{25 	imes 86400} \ 	ext{rad/s}$.The tangential velocity $v = r\omega = (7 	imes 10^8 \ 	ext{m}) 	imes \frac{2\pi}{2160000} \ 	ext{s} \approx 2036 \ 	ext{m/s}$.Using $c = 3 	imes 10^8 \ 	ext{m/s}$ and $\lambda = 6000 \ \mathring{A}$:$\Delta \lambda = 6000 	imes \frac{2036}{3 	imes 10^8} \ \mathring{A} \approx 0.04 \ \mathring{A}$.

The time period of rotation of the sun is $25$ days and its radius is $7 \times 10^8 \ m$. The Doppler shift for the light of wavelength $6000 \ \mathring{A}$ emitted from the surface of the sun will be ...... $\mathring{A}$.

Similar Questions

Due to the Doppler effect,the shift in wavelength observed is $0.1\;\mathring{A}$,for a star producing a wavelength of $6000\;\mathring{A}$. The velocity of recession of the star will be ....... $km/s$.

In the context of the Doppler effect in light,the term 'red shift' signifies:

Hubble showed that the universe as a whole is expanding and the distant stars are receding from us. The spectral line from a star,when compared with the corresponding line from a stationary source,will then show:

Assuming that the universe is expanding,if the spectrum of light coming from a star which is moving away from the Earth is tested,then in the wavelength of light:

$A$ star is moving away from the Earth. An observer on the Earth will see the wavelength of light coming from the star as:

Vedclass Test Series

Exam Paper Generator

Online Exam Module