Assertion :If the potential difference applied to an electron is made 4 times, the de Broglie wavelength associate halved Reason: On making potential difference 4 times velocity is doubled and hence $λ$ is halved

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
The de Broglie wavelength
$λ$ = $\frac{h}{m v}$
and as we know,
$v = \sqrt{2 m K E} = \sqrt{2 m e V}$
so,
If the potential difference applied to an electron is made 4 times, the de Broglie wavelength associated gets halved because by making potential difference 4 times velocity become doubled and hence is halved.

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