Dual Nature of Matter

JEE Main level, single correct, medium

18 of 200

Question 18 of 200

A sub-atomic particle of mass 10−30 kg10^{-30} \mathrm{~kg} is moving with a velocity 2.21×106 m/s2.21 \times 10^6 \mathrm{~m} / \mathrm{s}. Under the matter wave consideration, the particle will behave closely like \qquad (h=6.63×10−34 J.s)\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}\right)

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Answer: (D) X-rays

$\begin{aligned}
& \lambda=\frac{\mathrm{h}}{\mathrm{p}}=\frac{6.63 \times 10^{-34}}{10^{-30} \times 2.21 \times 10^6} \\

& =3 \times 10^{-10} \mathrm{~m}

\end{aligned}$


Hence particle will behave as x-ray.

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