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(C) The star is moving towards the Earth,so the observed wavelength will be blue-shifted (decreased).Using the Doppler effect formula for light when t

Vedclass · Accepted Answer

$5802$

Vedclass · Answer

(C) The star is moving towards the Earth,so the observed wavelength will be blue-shifted (decreased).Using the Doppler effect formula for light when the source moves towards the observer:$\lambda' = \lambda \left( 1 - \frac{v}{c} ight)$Given:$\lambda = 5890 \ \mathring A$$v = 4.5 	imes 10^6 \ m/s$$c = 3 	imes 10^8 \ m/s$Substituting the values:$\lambda' = 5890 	imes \left( 1 - \frac{4.5 	imes 10^6}{3 	imes 10^8} ight)$$\lambda' = 5890 	imes \left( 1 - 0.015 ight)$$\lambda' = 5890 	imes 0.985$$\lambda' \approx 5801.65 \ \mathring A \approx 5802 \ \mathring A$Therefore,the correct option is $C$.

$A$ star is moving towards the earth with a speed of $4.5 \times 10^6 \ m/s$. If the true wavelength of a certain line in the spectrum received from the star is $5890 \ \mathring A$,its apparent wavelength will be about........$\mathring A$ $[c = 3 \times 10^8 \ m/s]$

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