Verified Solution • 2025–26 Session moderate

QJEEM17Ph8ed8: JEE Main 2017 Physics - Class 12 JEEM17Ph8ed8 Solution: Imagine that a reactor converts all given mass into energy and…

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)

Multiple Choice Options

  • A 0.96 gm
  • B 0.8 gm
  • C 4 ×\times 10 −- 2 gm
  • D 6.6 ×\times 10 −- 5 gm

Step-by-Step Verified Solution

The power can be calculated by the relation

P=EΔt=Δmc2ΔtP = {E \over {\Delta t}} = {{\Delta m{c^2}} \over {\Delta t}} ...... (1)

Therefore, from Eq. (1), the mass of the fuel consumed per hour in the reactor is

ΔmΔt=Pc2=109(3×108)2=4×10−12{{\Delta m} \over {\Delta t}} = {P \over {{c^2}}} = {{{{10}^9}} \over {{{(3 \times {{10}^8})}^2}}} = 4 \times {10^{ - 12}} g

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