Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

The energy equivalent of 10 g of substance is

Options:

$3 × 10^8 J$

$9 × 10^8 J$

$9 × 10^{14} J$

$9 × 10^{13} J$

Correct Answer:

$9 × 10^{14} J$

Explanation:

The correct answer is Option (3) → $9 × 10^{14} J$

Energy equivalent from mass-energy relation: $E = mc^2$

Given: $m = 10 \, g = 0.01 \, kg$, $c = 3 \times 10^8 \, m/s$

$E = 0.01 \times (3 \times 10^8)^2$

$E = 0.01 \times 9 \times 10^{16} = 9 \times 10^{14} \, J$

Energy equivalent = $9 \times 10^{14}$ J