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JEE Mains · Physics · STD 12 - Dual nature of radiation and matter
  • JEE Mains 2026
  • Medium
  • Numerical

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 \(\left.=6.6 \times 10^{-34} J . s \right)\)

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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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