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there are two questions, however I only want an answer for 3b.) thankyou. A sour

ID: 2023911 • Letter: T

Question

there are two questions, however I only want an answer for 3b.) thankyou.

A source of electromagnetic waves S moves directly toward an observer with velocity vs. The wavelength and velocity of the waves emitted by s are lambda and c respectively. By considering the distance moved by S in one period, form an expression for the apparent wavelength of the waves from S as measured by and hence show that the apparent frequency of the waves can be written as: [5] The relatively nearby O star zeta Ophiuchus has a spectral type of O9 V but the helium absorption lines in the star are observed to be blueshifted by 0.02 nm. If the helium absorption line rest wavelength is 397 nm. calculate the line-of-sight velocity of zeta Ophiuchus. [2]

Explanation / Answer

The amount of Doppler shift, in wavelength, is (396.98 - 397)/397 = -5.04 * 10-5 where the negative means blueshift, not redshift.

For nonrelativisitic speeds (and this qualifies), v/c shift so v = (-5.04 * 10-5)(3.0 * 108 m/s)

v = 1.51 * 104 m/s