Q. The $k$ line of singly ionized 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

A) $6480\ km/s$
B) $3240\ km/s$
C) $4240\ km/s$
D) None of these
Explanation

(a) $\frac{\mathrm{\Delta}\lambda}{\lambda} = \frac{v}{c} \Rightarrow \frac{(401.8 - 393.3)}{393.3} = \frac{v}{3 \times 10^{8}}$
$\Rightarrow v = 6.48 \times 10^{6}m/s = 6480km/s$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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