Question

The energy released when $10\text{mg}$ of mass is converted into energy

• A. $9\times {10}^{11}\text{J}$
• B. $6\times {10}^9\text{J}$
• C. $3\times {10}^{12}\text{J}$
• D. $7\times {10}^9\text{J}$

Answer 1

The correct option is A $9\times {10}^{11}\text{J}$

Given:
$m=10\text{mg}=10\times {10}^{-3}\times {10}^{-3}\text{kg}$

$m={10}^{-5}\text{kg}$ ; $c=3\times {10}^8{\text{ms}}^{-1}$

According to Einstein's mass energy equivalence,

$E=m{c}^2$

$\Rightarrow E={10}^{-5}\times (3\times {10}^8{)}^2$

$\Rightarrow E=9\times {10}^{11}\text{J}$

Hence, option $\left(A\right)$ is correct.