Rankers Physics

Nucleus: Practice Problem & Solution

The energy equivalent of 0.5 g of a substance is : (2020)
$4.5 \times 10^{13} J$
$1.5 \times 10^{13} J$
$0.5 \times 10^{13} J$
$4.5 \times 10^{16} J$

Solution Explained:

To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:

Using Einstein's mass-energy equivalence principle $E = mc^2$. Substituting $m = 0.5 g = 0.5 \times 10^{-3} kg$ and $c = 3 \times 10^8 m/s$. $E = (0.5 \times 10^{-3}) \times (3 \times 10^8)^2 = 0.5 \times 10^{-3} \times 9 \times 10^{16} = 4.5 \times 10^{13} J$.

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