A pulsar is a type of rotating neutron star that emits a beam of electromagnetic radiation. Imagine a pulsar that is moving toward Earth at

Question

A pulsar is a type of rotating neutron star that emits a beam of electromagnetic radiation. Imagine a pulsar that is moving toward Earth at a speed of 880.500 km/s. It emits mostly radio waves with a wavelength (at the source) of 123.500 cm. What is the observed wavelength of this radiation on Earth? (Assume the Earth is stationary. Consider the speed of light c = 3.00000 108 m/s. Give your answer to at least six significant figures.)

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King 2 weeks 2021-07-19T23:35:04+00:00 1 Answers 2 views 0

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    2021-07-19T23:36:18+00:00

    Answer:

    123.4994673cm

    Explanation:

    In Doppler effect of light, frequency-source and frequency-observed are related by.

    f_o = f_s\beta  where          

        $$\beta  = \frac{1}{\sqrt{1-\frac{v_s^2}{c^2} } } $$

    And frequency is related to wavelength by. f = \frac{c}{L}  L is wavelength. and c is speed of light = 299792458m/s.

    Now using this relationship, frequency source is = 242747976.5Hz.

    and plugging this into f-source and f-observed relationship with V source = 880.500km/s = 880500m/s.

    We get f observed is = 242747976.6Hz which when converted to wavelength gives L = 123.4994673cm.

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