The energy equivalent of 0.5 g of a substance is [2020]

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Solution

Q.
The energy equivalent of 0.5 g of a substance is [2020]

1 $4.5 \times 10^{16}$ $J$

2 $4.5 \times 10^{13}$ $J$

3 $1.5 \times 10^{13}$ $J$

4 $0.5 \times 10^{13}$ $J$

Ans.
(2)

Given mass $m = 0.5$ $g = 0.5 \times 10^{- 3} kg$

According to Einstein mass-energy equivalence,

$E = m c^{2} = 0.5 \times 10^{- 3} \times {(3 \times 10^{8})}^{2} = 4.5 \times 10^{13} J$

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