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Question 21

The mass of an electron is 9.1 × 10–31 kg. If its K.E. is 3.0 × 10–25 J, calculate its wavelength.

Answer

We know , KE = ½ mv2

Or

v = (2KE/M)1/2

Or

v = 811.579 m/s

Now putting the values in the de Broglie’s equation

We get

Hence, the wavelength of the electron is 8.9625 × 10–7 m.

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