In a nuclear fission. 0.1 % mass is converted into energy. The energy released by the fission of 1 kg mass will be:

Question

In a nuclear fission. 0.1 % mass is converted into energy. The energy released by the fission of 1 kg mass will be: (A)  9× 1019 J  (B)  9× 1017 J  (C)  9× 1016 J  (D)  9× 1013 J

Tardigrade Admin · Accepted Answer

Mass can be converted into energy using mass-energy equivalence.
If a substance loses an amount

Δ m

of its mass, an equivalent amount

Δ E

of energy is produced, where

Δ E = (Δ m) c^{2}

Where

c

is speed of light.
This is called Einstein's mass energy relation.
Amount of mass converted into energy is,

Δ m = \frac{0.1}{100} \times 1 = 1 0^{- 3} k g

and

c = 3 \times 1 0^{8} m / s

∴ Δ E = 1 0^{- 3} \times (3 \times 1 0^{8})^{2}

Δ E = 9 \times 1 0^{13} J

Q. In a nuclear fission. $0.1%$ mass is converted into energy. The energy released by the fission of $1 k g$ mass will be:

$9 \times 10^{19} J$

$9 \times 10^{17} J$

$9 \times 10^{16} J$

$9 \times 10^{13} J$

Q. In a nuclear fission. 0.1% mass is converted into energy. The energy released by the fission of 1kg mass will be:

9×1019J

9×1017J

9×1016J

9×1013J

Q. In a nuclear fission. $0.1%$ mass is converted into energy. The energy released by the fission of $1 k g$ mass will be:

$9 \times 10^{19} J$

$9 \times 10^{17} J$

$9 \times 10^{16} J$

$9 \times 10^{13} J$