A light source approaches the observer with v | vedclass

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

Question

(C) According to the relativistic Doppler effect,when a source approaches the observer,the observed wavelength $\lambda'$ is given by $\lambda' = \lam

Vedclass · Accepted Answer

$3167$

Vedclass · Answer

(C) According to the relativistic Doppler effect,when a source approaches the observer,the observed wavelength $\lambda'$ is given by $\lambda' = \lambda \sqrt{\frac{1 - v/c}{1 + v/c}}$.Given $\lambda = 5500 \ \mathring{A}$ and $v = 0.8 c$.Substituting the values: $\lambda' = 5500 \sqrt{\frac{1 - 0.8}{1 + 0.8}} = 5500 \sqrt{\frac{0.2}{1.8}} = 5500 \sqrt{\frac{1}{9}} = 5500 	imes \frac{1}{3} \approx 1833.3 \ \mathring{A}$.The Doppler shift is the difference between the original wavelength and the observed wavelength: $\Delta\lambda = \lambda - \lambda' = 5500 - 1833.3 = 3166.7 \ \mathring{A} \approx 3167 \ \mathring{A}$.

$A$ light source approaches the observer with velocity $0.8 c$. The Doppler shift for the light of wavelength $5500 \ \mathring{A}$ is.....$\mathring{A}$.

Similar Questions

$A$ star producing light of wavelength $6000 \ \mathring{A}$ moves away from the Earth with a speed of $5 \ km/s$. Due to the Doppler effect, the shift in wavelength will be $...... \ \mathring{A}$ $(c = 3 \times 10^8 \ m/s)$.

The $K$ line of singly ionised calcium has a wavelength of $393.3 \, nm$ as measured on Earth. In the spectrum of one of the observed galaxies,this spectral line is located at $401.8 \, nm$. The speed with which the galaxy is moving away from us will be..... $km/s$.

$A$ heavenly body is receding from Earth such that the fractional change in wavelength $\lambda$ is $1$. What is its velocity?

If a star emitting light of wavelength $5000\,\mathring{A}$ is moving towards Earth with a velocity of $1.5 \times 10^6\,\text{m/s}$,then the shift in the wavelength due to Doppler's effect will be......$\mathring{A}$

What is the Doppler effect for light? Derive the formula for the Doppler shift.

Vedclass Test Series

Exam Paper Generator

Online Exam Module