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JEE Main 202523 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
23 January
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2025 · 23 January · Morning Shift · Physics · Dual Nature of Matter

A sub-atomic particle of mass 10^ -30 ~kg is moving with a velocity...

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)

Options

  1. AVisible radiation
  2. BGamma rays
  3. CInfra-red radiation
  4. DX-rays

Correct answer

D. X-rays

Step-by-step solution

λ=hp=6.63×10−3410−30×2.21×106=3×10−10 m\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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