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The galaxy ngc 4414 is moving away from us at 7.16x10^5 m/s. by how much will the frequency of the 6.91x10^14 hz hydrogen line be shifted in the galaxy's spectrum

Sagot :

shifting of the frequency will take place by 1.674 × 10¹² Hz.

What is Frequency?

Frequency is a unit of measurement for how frequently a recurrent event, like a wave, takes place over a specified period of time. A cycle is one repetition of the repeating pattern. Frequency only exists in moving waves that change their places throughout time. Frequency is one way to define how fast a wave moves.

Δλ/λ₀ = v/c

Relativistic doppler effect,

[tex]v' = v_{0} \frac{ \sqrt{ 1 - v/c}}{ \sqrt{ 1 + v/c}}[/tex]

[tex]\frac{v}{c}= \frac{7.16}{3000}[/tex]

[tex]v'= 6.91 * 10^{14} * \frac{\sqrt{1 -\frac{7.16}{3000} } }{\sqrt{1-\frac{7.16}{3000} } }[/tex]

[tex]v'=6.893 * 10^{14}[/tex]

[tex]|v'-v_{0}|= 1.647 * 10^{12}[/tex]

shifting of the frequency will take place by 1.674 × 10¹² Hz.

to learn more about frequency go to - https://brainly.com/question/254161

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