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For what k.e of neutron will the associated de-Broglie wavelength be 1.40 × 10-10m? mass of neutron= 1.675 × 10-27 kg, h = 6.63 × 10-34 J -

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Question

For what k.e of neutron will the associated de-Broglie wavelength be 1.40 × 10-10 m? mass of neutron= 1.675 × 10-27 kg, h = 6.63 × 10-34 J

Options

  • 6.634 × 10-21 J

  • 4.262 × 10-19 J

  • 1.2 × 10-10 m

  • 2.5 × 10-19 J

MCQ

Solution

6.634 × 10-21 J

Explanation:

`lambda = h/sqrt(2ME)` or E = `h^2/(2lambda2m)`

= `(6.63 xx 10^-34)^2/(2 xx (1.4 xx 10^-10)^2 xx (1.674 xx 10)^-27`

= 6.634 × 10-21 J.

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