AP EAMCET · PHYSICS · Dual Nature of Matter
If the linear momentum of a proton is changed by \(\mathrm{p}_0\), then the de Broglie wavelength associated with the proton changes by \(0.25 \%\). Then the initial linear momentum of the proton is
- A \(100 \mathrm{p}_0\)
- B \(\frac{\mathrm{p}_0}{400}\)
- C \(400 p_0\)
- D \(\frac{\mathrm{p}_0}{100}\)
Answer & Solution
Correct Answer
(C) \(400 p_0\)
Step-by-step Solution
Detailed explanation
\(\lambda = \frac{h}{p}\) \(\frac{\Delta \lambda}{\lambda} = -\frac{\Delta p}{p}\) \(0.0025 = \frac{\mathrm{p}_0}{p_i}\) \(p_i = \frac{\mathrm{p}_0}{0.0025}\) \(p_i = 400 \mathrm{p}_0\)
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