When 92 U 235 undergoes fission 0.1 % of its original mass is changed into energy. How much energy is released if 1 kg of 92 U 235 undergoes fission

Question

When 92 U 235 undergoes fission 0.1 % of its original mass is changed into energy. How much energy is released if 1 kg of 92 U 235 undergoes fission (A) 9 × 1010 J (B) 9 × 1011 J (C) 9 × 1012 J (D) 9 × 1013 J

Tardigrade Admin · Accepted Answer

⇒ (0.1/100) × 1 kg =(1/1000) kg =10-3 kg Using the equation E = mc 2 =10-3 ×(3 × 108)2 =10-3 × 9 × 1016 E =9 × 1013 J

Q. When $^{92} U_{235}$ undergoes fission $0.1%$ of its original mass is changed into energy. How much energy is released if $1 k g$ of $^{92} U_{235}$ undergoes fission

$9 \times 1 0^{10} J$

$9 \times 1 0^{11} J$

$9 \times 1 0^{12} J$

$9 \times 1 0^{13} J$

$\Rightarrow \frac{0.1}{100} \times 1 k g = \frac{1}{1000} k g = 1 0^{- 3} k g$
Using the equation
$E = m c^{2}$
$= 1 0^{- 3} \times (3 \times 1 0^{8})^{2}$
$= 1 0^{- 3} \times 9 \times 1 0^{16}$
$E = 9 \times 1 0^{13} J$

Q. When 92U235​ undergoes fission 0.1% of its original mass is changed into energy. How much energy is released if 1kg of 92U235​ undergoes fission

9×1010J

9×1011J

9×1012J

9×1013J