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If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change? -

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Question

If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?

Options

  • Wavelength is increased to `1/2` times

  • Wavelength is decreased to `1/sqrt2` times

  • Wavelength is increased to `1/sqrt2` times

  • Wavelength is decreased to `1/3` times

MCQ

Solution

Wavelength is decreased to `1/sqrt2` times

Explanation:

The de Broglie wavelength is given by

`lambda ("in nm") = 1.23/sqrt"V"`

Hence in become `1/sqrt2` times

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De Broglie Hypothesis
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