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COMEDK · Physics · 29. Nuclear Physics

The energy equivalent of \(1 \mathrm{~g}\) of a substance is

  1. A \(4.5 \times 10^{13} \mathrm{~J}\)
  2. B \(9 \times 10^{16} \mathrm{~J}\)
  3. C \(9 \times 10^{13} \mathrm{~J}\)
  4. D \(18 \times 10^{13} \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(9 \times 10^{13} \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Given, \(m=1 \mathrm{~g}=10^{-3} \mathrm{~kg}\) According to Einstein's mass-energy equation, \[ E=m c^{2}=10^{-3} \times\left(3 \times 10^{8}\right)^{2}=9 \times 10^{13} \mathrm{~J} \]
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