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JEE Main 20249 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Morning Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2024 · 9 April · Morning Shift · Physics · Nuclear Physics

The energy equivalent of 1 ~g of substance is :

The energy equivalent of 1 g1 \mathrm{~g} of substance is :

Options

  1. A5.6×1012MeV5.6 \times 10^{12} \mathrm{MeV}
  2. B5.6×1026MeV5.6 \times 10^{26} \mathrm{MeV}
  3. C11.2×1024MeV11.2 \times 10^{24} \mathrm{MeV}
  4. D5.6eV5.6 \mathrm{eV}

Correct answer

B. 5.6×1026MeV5.6 \times 10^{26} \mathrm{MeV}

Step-by-step solution

E=mC2\mathrm{E}=\mathrm{mC}^2⇒E=(1×10−3)×(3×108)2 J⇒E=(10−3)(9×1016)(6.241×1018)eVE=56.169×1031eVE≈5.6×1026MeV\begin{aligned} & \Rightarrow \mathrm{E}=\left(1 \times 10^{-3}\right) \times\left(3 \times 10^8\right)^2 \mathrm{~J} \\ & \Rightarrow \mathrm{E}=\left(10^{-3}\right)\left(9 \times 10^{16}\right)\left(6.241 \times 10^{18}\right) \mathrm{eV} \\ & \mathrm{E}=56.169 \times 10^{31} \mathrm{eV} \\ & \mathrm{E} \approx 5.6 \times 10^{26} \mathrm{MeV} \\ & \end{aligned}$$
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