CUET · PHYSICS · PYQ PAPER 2023
If the kinetic energy of the particle is increased to 16 times its previous value. The percentage change in de Broglie wavelength of the particle is:
- A 25%
- B 75%
- C 90%
- D 300%
Answer & Solution
Correct Answer
(B) 75%
Step-by-step Solution
Detailed explanation
\(\lambda = \frac{h}{\sqrt{2mK}}\) \(\lambda_2 = \frac{h}{\sqrt{2m(16K_1)}} = \frac{1}{4} \lambda_1\) Percentage change \( = \frac{\lambda_2 - \lambda_1}{\lambda_1} \times 100\% = \frac{\frac{1}{4}\lambda_1 - \lambda_1}{\lambda_1} \times 100\%\)…
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