JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
A sub-atomic particle of mass \(10^{-30} \mathrm{~kg}\) is moving with a velocity \(2.21 \times 10^6 \mathrm{~m} / \mathrm{s}\). Under the matter wave consideration, the particle will behave closely like _______. \(\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}\right)\)
- A Visible radiation
- B Gamma rays
- C Infra-red radiation
- D X-rays
Answer & Solution
Correct Answer
(D) X-rays
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \lambda=\frac{\mathrm{h}}{\mathrm{p}}=\frac{6.63 \times 10^{-34}}{10^{-30} \times 2.21 \times 10^6} \\ & =3 \times 10^{-10} \mathrm{~m} \end{aligned}\) Hence particle will behave as x-ray.
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