Given below are two statements:
Assertion (A): The de Broglie wavelength of an electron accelerated through a potential difference $V$ is given by $λ = \frac{h}{2 m e V}$ .
Reason (R): The kinetic energy acquired by an electron accelerated through a potential difference $V$ is $e V$ .

Question

Given below are two statements:

Assertion (A): The de Broglie wavelength of an electron accelerated through a potential difference $V$ is given by $λ = \frac{h}{2 m e V}$ .

Reason (R): The kinetic energy acquired by an electron accelerated through a potential difference $V$ is $e V$ .

TestHub · Accepted Answer

The kinetic energy K acquired by an electron accelerated through potential V is e V . The momentum p = 2 m K ​ = 2 m e V ​ . The de Broglie wavelength is λ = p h ​ = 2 m e V ​ h ​ . Thus, R correctly explains A.

Physics - Modern Physics Question with Solution | TestHub

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