Physics · Atomic Physics

NEET (UG) 2023 — Question 12

The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of V volts is proportional to:

Option A:
$\frac{1}{V}$
Correct
Option B:
$\frac{1}{\sqrt{V}}$
Option C:
$V^{2}$
Option D:
$\sqrt{V}$

Answer: A

Step-by-step solution

The kinetic energy of the electron is $K = eV$ . This is fully converted into the energy of the photon: $E = \frac{hc}{\lambda_{\text{min}}}$ . Equating: $eV = \frac{hc}{\lambda_{\text{min}}}$ . Solving for $\lambda_{\text{min}}$ : $\lambda_{\text{min}} = \frac{hc}{eV}$ . Therefore, $\lambda_{\text{min}} \propto \frac{1}{V}$ . The correct option is A.

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Exam: NEET (UG) 2023
Paper: 2023 paper
Subject: Physics
Chapter: Atomic Physics
Topic: X-Rays

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Step-by-step solution

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