CUET · PHYSICS · PYQ PAPER 2023
Electrons in an experiment are accelerated by a voltage of 36 kV. If the voltage is increased to 144 kV, then the de-broglie wavelength associated with the electron would
- A increased by 3-times
- B decreased by 2-times
- C increased by 2-times
- D decreased by 6-times
Answer & Solution
Correct Answer
(B) decreased by 2-times
Step-by-step Solution
Detailed explanation
\(\lambda \propto \frac{1}{\sqrt{V}}\) \(\frac{\lambda_2}{\lambda_1} = \sqrt{\frac{V_1}{V_2}}\) \(\frac{\lambda_2}{\lambda_1} = \sqrt{\frac{36 \text{ kV}}{144 \text{ kV}}} = \sqrt{\frac{1}{4}} = \frac{1}{2}\) \(\lambda_2 = \frac{1}{2}\lambda_1\) decreased by 2-times
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