Question

- Compare the de Broglie wavelength of a 0.015-kg ball moving at
40 m/s to that of an electron which has a speed of
0.0073
. Given: mass of electron = 9.11 x 10*c*^{-31}kg, speed of light = c = 3 x 10^{8}m/s.

Answer #1

de Broglie wavelength of a mass ( m ) moving with a velocity ( v ) is given by,

where, h = Planck's Constant =

For de Broglie wavelength of a ball of mass m = 0.015 kg , moving with a velocity v = 40 m/s,

For de Broglie wavelength of a ball of mass m = 9.11 x 10^(-31) kg ,

moving with a velocity, v = 0.0073c => v = 0.0073 x 3 x 10^(8) => v = 2.19 x 10^(6) m/s

Comparing

That is the de Broglie wavelength for the electron is 3 x 10^(23) times that of the ball.

De broglie wavelength for a smaller body ( microscopic ) is much significant than a heavier body ( macroscopic )

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