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21 August, 09:09

What is the de Broglie wavelength, in cm, of a 11.0-g hummingbird flying at 1.20 x 10^2 mph?

(1 mile=1.61 km.)

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  1. 21 August, 12:37
    0
    Answer:1.123 x 10^-31cm

    Explanation:

    mass of humming bird = 11.0g

    speed = 1.20x10^2mph

    but I mile = 1.6m

    1km=1000

    I mile = 1.6x10^3m

    1.20x10^2mph = 1.6x10^3m / 1mile x at 1.20 x 10^2

    =1.932 x10^5m

    recall that

    1 hr = 60 min

    1 min=60 secs, 1hr=3600s

    Speed = distance / time

    =1.932 x10^5 / 3600 = 5.366 x 10 ^1 m/s

    m = a 11.0g = 11.0 x 10^-3kg

    h=6.626*10^-34 (kg*m^2) / s

    Wavelength = h/mu

    = 6.626*10^-34 / (11 x 10^-3 x 5.366x 10^1)

    6.63x10^-34 / 590.26x 10 ^-3 = 1.123 x10^-33m

    but 1m = 100cm

    1.123 x 10 ^-33 x 100 = 1.123 x 10^-31cm

    de broglie wavelength of humming bird = 1.123 x 10 ^-31cm
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