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21 July, 03:04

Determine the mass of a ball with a velocity of 35.0 m/s and a wavelength of 8.92 x 10-34 m.

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  1. 21 July, 04:49
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    m = mass of the ball = ?

    v = velocity of the ball = 35 m/s

    λ = wavelength of the ball = 8.92 x 10⁻³⁴ m

    h = plank's constant = 6.63 x 10⁻³⁴ J-sec

    according to Debroglie principle, wavelength is given as

    λ = h / (mv)

    inserting the values

    8.92 x 10⁻³⁴ = (6.63 x 10⁻³⁴) / (m (35))

    m = (6.63 x 10⁻³⁴) / ((8.92 x 10⁻³⁴) (35))

    m = 6.63 / (8.92 x 35)

    m = 0.0212 kg

    So the mass of the ball comes out to be 0.0212 kg
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