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(B) The Doppler shift in wavelength $\Delta \lambda$ is given by the formula: $\Delta \lambda = \lambda \frac{v}{c}$.Given:$\lambda = 5700 \ \mathring

Vedclass · Accepted Answer

$1.90$

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(B) The Doppler shift in wavelength $\Delta \lambda$ is given by the formula: $\Delta \lambda = \lambda \frac{v}{c}$.Given:$\lambda = 5700 \ \mathring{A} = 5700 	imes 10^{-10} \ m$$v = 100 \ km/s = 100 	imes 10^3 \ m/s = 10^5 \ m/s$$c = 3 	imes 10^8 \ m/s$Substituting the values:$\Delta \lambda = 5700 	imes \frac{10^5}{3 	imes 10^8} \ \mathring{A}$$\Delta \lambda = \frac{5700}{3} 	imes 10^{-3} \ \mathring{A}$$\Delta \lambda = 1900 	imes 10^{-3} \ \mathring{A} = 1.90 \ \mathring{A}$.

$A$ star is moving away from the Earth with a velocity of $100 \ km/s$. If the velocity of light is $3 \times 10^8 \ m/s$,then the shift of its spectral line of wavelength $5700 \ \mathring{A}$ due to the Doppler effect will be ..... $\mathring{A}$.

Similar Questions

Light coming from a star is observed to have a wavelength of $3737 \ \mathring{A}$,while its real wavelength is $3700 \ \mathring{A}$. The speed of the star relative to the earth is (Speed of light $c = 3 \times 10^8 \ m/s$).

Write the formula for the Doppler shift for light.

In the hydrogen spectrum,the wavelength of the ${H_\alpha}$ line is $656 \ nm$,whereas in the spectrum of a distant galaxy,the ${H_\alpha}$ line wavelength is $706 \ nm$. The estimated speed of the galaxy with respect to the Earth is:

It is believed that the universe is expanding and hence the distant stars are receding from us. Light from such a star will show:

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