AP EAMCET · PHYSICS · Dual Nature of Matter
A particle of mass \(2 \times 10^{-27} \mathrm{~kg}\) has de-Broglie wavelength of \(3.3 \times 10^{-10} \mathrm{~m}\). The kinetic energy of this particle is
(Plank's Constant \(\left.\mathrm{h}=6.6 \times 10^{-34} \mathrm{~J}-\mathrm{s}\right)\)
- A \(5 \times 10^{-20} \mathrm{~J}\)
- B \(8 \times 10^{-20} \mathrm{~J}\)
- C \(1 \times 10^{-21} \mathrm{~J}\)
- D \(6 \times 10^{-22} \mathrm{~J}\)
Answer & Solution
Correct Answer
(C) \(1 \times 10^{-21} \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
As \(\lambda=\frac{\mathrm{h}}{\mathrm{P}} \Rightarrow \lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{~m}(\mathrm{~K} . \mathrm{E})}} \Rightarrow \mathrm{K} \cdot \mathrm{E}=\frac{\mathrm{h}^2}{2 \mathrm{~m} \lambda^2}\) So, K.E…
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