Q156 / 160 · TS EAMCET 2023 (12 May Shift 1) · Physics

The energy equivalent to a mass of $1 \mathrm{~kg}$ is

  • A
    $9 \times 10^{13} \mathrm{~J}$
  • B
    $9 \times 10^{9} \mathrm{~J}$
  • Correct answer
    C
    $9 \times 10^{16} \mathrm{~J}$
  • D
    $9 \times 10^{6} \mathrm{~J}$

Solution

Energy equivalent of $1 \mathrm{~kg}$ of mass, $\mathrm{E}=\mathrm{mc}^2$ $\begin{aligned} & =1 \times\left(3 \times 10^8\right)^2 \\ & =9 \times 10^{16} \mathrm{~J} \end{aligned}$

Hence, the correct answer is option: 'C'.

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