JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
A particle having electric charge \(3 \times 10^{-19} C\) and mass \(6 \times 10^{-27} kg\) is accelerated by applying an electric potential of 1.21 V . Wavelength of the matter wave associated with the particle is \(\alpha \times 10^{-12} m\). The value of \(\alpha\) is _________ .
(Take Planck's constant \(\left.=6.6 \times 10^{-34} J . s \right)\)
- A 5
- B 15
- C 10
- D 20
Answer & Solution
Correct Answer
(C) 10
Step-by-step Solution
Detailed explanation
\( \lambda=\frac{h}{\sqrt{2mqV}} \) \( \lambda=\frac{6.6\times10^{-34}}{\sqrt{2\times18\times10^{-46}\times1.21}} \) \( \lambda=10^{-11}m=10\times10^{-12}m \) \( \alpha=10 \)
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