The energy equivalent to a substance of mass 1 ~g is

Correct answer: (B) 9 × 10^(13) J. We know E=m c^2 Given m=1 ~g=1 × 10^-3 ~kg We know c=3 × 10^8 ~ms^-1 ⇒ E= (1 × 10^-3 ) × (3 × 10^8 )^2=9 × 10^13 Therefore, energy equivalent to a substance of mass 1 ~g is 9 × 10^13 ~J

Q149 / 180 · KCET 2018 · Physics

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

A
$ 18 \times 10^{(13)} \mathrm{J} $
Correct answer
B
$ 9 \times 10^{(13)} \mathrm{J} $
C
$ 18 \times 10^{6} \mathrm{~J} $
D
$ 9 \times 10^{6} \mathrm{~J} $

Solution

We know $E=m c^{2}$ Given $m=1 \mathrm{~g}=1 \times 10^{-3} \mathrm{~kg}$ We know $c=3 \times 10^{8} \mathrm{~ms}^{-1}$ $\Rightarrow E=\left(1 \times 10^{-3}\right) \times\left(3 \times 10^{8}\right)^{2}=9 \times 10^{13}$ Therefore, energy equivalent to a substance of mass $1 \mathrm{~g}$ is $9 \times 10^{13} \mathrm{~J}$

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

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The energy equivalent to a substance of mass \( 1 \mathrm{~g} \) is

Solution

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