Solveeit Logo

Question

Physics Question on Atoms

A nuclear reactor delivers a power of 10910^9 W. What is the amount of fuel consumed by the reactor in one hour ?

A

0.04 g

B

0.08 g

C

0.72 g

D

0.96 g

Answer

0.04 g

Explanation

Solution

P = Et=mc2t\frac{E}{t} = \frac{mc^2}{t} \therefore m=Ptc2=109×60×60(3×108)2=36×10119×1016=4×105m = \frac{Pt}{c^2} = \frac{10^9 \times 60 \times 60}{(3 \times 10^8)^2} = \frac{36 \times 10^{11}}{9 \times 10^{16}} = 4 \times 10^{-5} kg = 0.04 g