The energy equivalent of 1 g of substance is: (a) 5.6 × 10²⁶ MeV (b) 5.6 × 10¹² MeV (c) 5.6 eV (d) 11.2 × 10²⁴ MeV

Answer: (a). E = mc² = 10⁻³ × 9 × 10¹⁶ = 9 × 10¹³ J 1 MeV = 1.6 × 10⁻¹³ J, so E = 9 × 10¹³1.6 × 10⁻¹³ = 5.6 × 10²⁶ MeV So the answer is (a) 5.6 × 10²⁶ MeV.

The energy equivalent of 1 g of substance is: | JEE Main 2024 (9 Apr, Shift 1)

Q6JEE Main 2024 · 9 APR · SHIFT 1Easy

Mass Defect & Binding Energy

The energy equivalent of $1\text{ g}$ of substance is:

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Answer: (a)

$E = mc^2 = 10^{-3} \times 9 \times 10^{16} = 9 \times 10^{13}$ J
$1\ \text{MeV} = 1.6 \times 10^{-13}$ J, so $E = \dfrac{9 \times 10^{13}}{1.6 \times 10^{-13}} = 5.6 \times 10^{26}$ MeV
So the answer is (a) $5.6 \times 10^{26}$ MeV.

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