Question

In a nuclear reactor, the fuel is consumed at the rate of $1mg/s$. The power generated in kilowatt is

• A. $9\times {10}^4$
• B. $9\times {10}^7$
• C. $9\times {10}^8$
• D. $9\times {10}^{12}$

Answer 1

The correct option is B $9\times {10}^7$

Given,

$\frac{m}{t}=1mg/s$

$c=3\times {10}^{8}m/s$

In nuclear reactor, the power generated is,

$P=\frac{E}{t}=\frac{m{c}^2}{t}$

$P=1\times {10}^{-6}\times 3\times {10}^8\times 3\times {10}^8$

$P=9\times {10}^{10}W$

$P=9\times {10}^{7}kW$

The correct option is B.