MCQ Solution: Atoms and Nuclei
The wavelength of $$H$$$$_{\alpha}$$ line in hydrogen spectrum was found to be $$6563$$ $$\overset{o}{A}$$ in the laboratory. If the wavelength of same line in the spectrum of a milky way is observed to be $$6568$$ $$\overset{o}{A}$$, then recession velocity of milky way will be
1) 105 m/s
2) 1.05×106 m/s
3) 10.5×106 m/s
4) 0.105×106m/s
Solution
$$\nu = \displaystyle\frac{\triangle \lambda}{\lambda} \times c $$
$$= \dfrac{6586 - 6263}{6563} \times 3 \times 10^{8} $$
$$= 1.05$$ $$\times$$ 10$$^{6}\ m / s$$