Question

what speed should a galaxy move with respect to us so that the sodium line at 589.0 nm is observed at 589.6 nm ?​

Answer 1

Answer:

Hii CutiePie

λ=589nm  

Δλ=589.6−589.0

=0.6nm

V=Δλλc

=0.6589×3×108m/s

=3.06×105m/s

=30.6km/s

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Explanation:

Answer 2

Given that,

Original wavelength, $\lambda=589\ nm$

Observed wavelength, $\lambda_o=589.6\ nm$

To find,

The speed of galaxy with speed to us.

Solution,

The fractional change in wavelength is given by as per Doppler's effect as :

$\dfrac{\Delta \lambda}{\lambda}=\dfrac{v}{c}$

v is speed of galaxy

c is speed of light

$\dfrac{(589.6 -589)}{589}=\dfrac{v}{c}\\\\\dfrac{0.6}{589}=\dfrac{v}{c}\\\\0.00101=\dfrac{v}{c}\\\\v=0.00101\times 3\times 10^8\\\\v=3.03\times 10^5\ m/s$

So, the speed of the galaxy is $3.03\times 10^5\ m/s$.

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What speed should a galaxy move with respect to us so that the sodium line at 589.0 nm is observed at 589.6 nm ?

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