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If kinetic energy of moving electrons is made four times, then their de Broglie wavelength becomes ______. - Physics (Theory)

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Question

If kinetic energy of moving electrons is made four times, then their de Broglie wavelength becomes ______.

Options

  • eight times

  • four times

  • two times

  • half

MCQ
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Solution

If kinetic energy of moving electrons is made four times, then their de Broglie wavelength becomes half.

Explanation:

λe = `h/(sqrt(2mE))`

When kinetic energy E = 4E

We have,

λe = `h/(sqrt(2m(4E)))`

= `1/2 lambda_e`

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