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JEE Main 202622 JanuaryMorning Shift
Exam
JEE Main
Year
2026
Date
22 January
Shift
Morning Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2026 · 22 January · Morning Shift · Physics · Nuclear Physics

The minimum frequency of photon required to break a particle of...

The minimum frequency of photon required to break a particle of mass 15.348 amu into 4α4 \alpha particles is ____\_\_\_\_ kHz.
[mass of He nucleus = 4.002amu,1amu=1.66×10−27 kg, h=6.6×10−34 J.s4.002 \mathrm{amu}, 1 \mathrm{amu}=1.66 \times 10^{-27} \mathrm{~kg}, \mathrm{~h}=6.6 \times 10^{-34} \mathrm{~J}. \mathrm{s} and c=3×108 m/s\mathrm{c}=3 \times 10^{8} \mathrm{~m} / \mathrm{s} ]

Options

  1. A14.94×101914.94 \times 10^{19}
  2. B9×10209 \times 10^{20}
  3. C14.94×102014.94 \times 10^{20}
  4. D9×10199 \times 10^{19}

Correct answer

A. 14.94×101914.94 \times 10^{19}

Step-by-step solution

hv=(4×4.002−15.348)×1.66×10−27×(3×108)2h v =(4 \times 4.002-15.348) \times 1.66 \times 10^{-27} \times\left(3 \times 10^8\right)^2
v=14.94×1019kHzv =14.94 \times 10^{19} \mathrm{kHz}
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