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JEE Main 2017 (9 Apr, Shift 1) · Mass Defect & Binding Energy

Mass Defect & Binding Energy question from JEE Main 2017 (9 Apr, Shift 1)

Q19JEE Main 2017 · 9 APR · SHIFT 1Easy

Mass Defect & Binding Energy

Imagine that a reactor converts all given mass into energy and that it operates at a power level of 109 watt. The mass of the fuel consumed per hour in the reactor will be: (velocity of light, c is 3×108 m/s)

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Answer: (c)

  1. Energy in one hour: E=Pt=109×3600=3.6×1012E = Pt = 10^9 \times 3600 = 3.6 \times 10^{12} J
  2. m=Ec2=3.6×10129×1016=4×10−5m = \dfrac{E}{c^2} = \dfrac{3.6 \times 10^{12}}{9 \times 10^{16}} = 4 \times 10^{-5} kg
  3. m=4×10−2m = 4 \times 10^{-2} g, so the answer is (c).
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