CUET · PHYSICS · PYQ PAPER 2025
If the two particles of the same mass and same charge are accelerated with a potential difference of 120 V and 480 V respectively, the ratio of de Broglie's wavelengths associated with the two particles respectively is
- A \(1: 2\)
- B \(2: 1\)
- C \(1: 4\)
- D \(4: 1\)
Answer & Solution
Correct Answer
(B) \(2: 1\)
Step-by-step Solution
Detailed explanation
\(\lambda = \frac{h}{\sqrt{2mqV}}\) \(\frac{\lambda_1}{\lambda_2} = \sqrt{\frac{V_2}{V_1}}\) \(\frac{\lambda_1}{\lambda_2} = \sqrt{\frac{480 \text{ V}}{120 \text{ V}}} = \sqrt{4}\) \(\frac{\lambda_1}{\lambda_2} = 2:1\)
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