Question

The loss of mass in a nuclear reaction is 0.45%. How much energy is released in the fusion of 2 Kg mass?

• A. $9.03\times {10}^{14}\text{J}$
• B. $4.05\times {10}^{14}\text{J}$
• C. $4.05\times {10}^7\text{J}$
• D. $9.03\times {10}^7\text{J}$

Answer 1

The correct option is B $4.05\times {10}^{14}\text{J}$

Given mass lost in fusion reactionΔm = 0.45%
Loss in mass due to fusion of 2 Kg mass
$m^{\prime }=\frac{0.45\times 2}{100}$ =0.009 Kg
Energy released E= (Δm)c²
=0.45×(3×10⁸)²= 4.05×10¹⁴joule