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Calculate the energy equivalent of 1 g of substance

Asked in GUJCET 2020 · Mass defect and binding energy

Answer: (2) 9×10¹³ J

Step-by-step solution

Given: m=1 g=10⁻³ kg and c=3×10⁸ m s⁻¹.

Idea: mass and energy are equivalent, E=mc²; the mass must be in kilograms.

c²=(3×10⁸)²=9×10¹⁶ m² s⁻².

E=10⁻³×9×10¹⁶=9×10¹³ J.

One gram of any substance is worth 9×10¹³ J — the scale of energy a nuclear process draws on.

Why the other options are wrong

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