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Question

The energy equivalent of $$0.5 g$$ of a substance is :

A
$$4.5 \times 10^{13} J$$
B
$$1.5 \times 10^{13} J$$
C
$$0.5 \times 10^{13} J$$
D
$$4.5 \times 10^{16} J$$
Solution
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Correct option is A. $$4.5 \times 10^{13} J$$
The energy equivalent of the particular mass is given as:
$$E=mc^2$$

mass is given as $$=0.5g=0.5\times 10^{-3}\ kg$$
and the speed of light $$(c)=3\times 10^8\ m/s$$;.

So, $$E=0.5\times10^{-3}\times(3\times 10^{8})^2$$

$$E=4.5\times 10^{!3}\ J$$

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