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According to mass energy equivalence relation, 9×10¹³ J of energy can be converted into ______ maximum mass. [Speed of light c=3×10⁸ m/s]

Asked in GSEB Board March 2023 · Mass defect and binding energy

Answer: (4) 1 g

Step-by-step solution

Given: E=9×10¹³ J and c=3×10⁸ m/s.

Idea: rearrange E=mc² into m=E/(c²). 'Maximum mass' because at best all the energy becomes mass.

c²=(3×10⁸)²=9×10¹⁶ m² s⁻².

m=(9×10¹³)/(9×10¹⁶)=10⁻³ kg.

10⁻³ kg=1 g — the same pairing as the standard result that 1 g is worth 9×10¹³ J, read backwards.

Why the other options are wrong

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