AP EAMCET · PHYSICS · Dual Nature of Matter
The velocity of a particle \(A\) is 3 times the velocity of proton. If the ratio of the de Broglie wavelengths of the particle \(\mathrm{A}\) and the proton is 3:2, the mass of the particle \(\mathrm{A}\) is
( \(\mathrm{m}_{\mathrm{p}}\) - mass of proton)
- A \(\frac{2}{9} \mathrm{~m}_{\mathrm{p}}\)
- B \(\frac{2}{3} \mathrm{~m}_{\mathrm{p}}\)
- C \(\frac{2}{5} \mathrm{~m}_{\mathrm{p}}\)
- D \(\frac{2}{7} \mathrm{~m}_{\mathrm{p}}\)
Answer & Solution
Correct Answer
(A) \(\frac{2}{9} \mathrm{~m}_{\mathrm{p}}\)
Step-by-step Solution
Detailed explanation
De-Broglie wavelength \(\lambda=\frac{\mathrm{h}}{\mathrm{p}}\) or \(\lambda \propto \frac{1}{\mathrm{mv}}\)…
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