Question

When \({}^{235}\text{U}\) undergoes fission, 0.1% of its original mass is changed into energy. How much energy is released if 1 kg of \({}^{235}\text{U}\) undergoes fission?

• A. \(9 \times 10^{10}\ \text{J}\)
• B. \(9 \times 10^{11}\ \text{J}\)
• C. \(9 \times 10^{12}\ \text{J}\)
• D. 9 × 10¹3 J

Hint:

Even tiny mass loss produces huge energy: E = mc²

Answer 1

The Correct Option is D

Step 1: Mass converted Δ m = 0.1% × 1 = 10⁻3 kg
Step 2: Energy released E = Δ m c² = 10⁻3 × (3 × 10⁸)² = 9 × 10¹3 J