g it as been suggested that solar powered space ships could get a boost from a laser either on earth or in orbit around earth. the laser wou

Question

g it as been suggested that solar powered space ships could get a boost from a laser either on earth or in orbit around earth. the laser would have to be very powerful to give any measurable benefit to the ship. if the laser produces a 0.18-m diameter beam of 490-nm light, what is the minimum angular spread of the beam?

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Thu Nguyệt 4 years 2021-08-31T13:08:07+00:00 1 Answers 12 views 0

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  1. Xavia
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    2021-08-31T13:09:09+00:00
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    Answer:

    The minimum angular spread of the laser beam is 3.32 × 10^{-6} radians (or 3.32 μrad).

    Explanation:

    The minimum angular spread of a wave is the ratio of its narrowest diameter to its wavelength.

    From Rayleigh’s formula,

    Angular spread = 1.22 (wavelength ÷ diameter)

                              = 1.22 (λ ÷ D)

    Given that:

    diameter, D = 0.18 m and wavelength, λ = 490 nm, then;

    Angular spread of the laser beam = 1.22 (λ ÷ D)

                             = 1.22(\frac{490*10^{-9} }{0.18})

                             = 1.22× 2.7222 × 10^{-6}

                            = 3.3211 × 10^{-6} rad

    The minimum angular spread of the laser beam is 3.32 × 10^{-6} radians.

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