Question

The amount of energy available from the complete conversion of 50 gram of mass into energy is

• A.
  $4.5\times {10}^{15}J$
• B.
  $2.5\times {10}^{14}J$
• C.
  $4.5\times {10}^{14}J$
• D.
  $2.5\times {10}^{15}J$

Answer 1

The correct option is A

$4.5\times {10}^{15}J$
Mass,$\Delta m=50g=50\times {10}^{–3}kg$

Speed of light, $c=3\times 108m/s$

The amount of energy available from the complete conversion of 50 g of mass into energy is given as:

$E=\Delta m{c}^2=(50\times {10}^{-3})\times (3\times {10}^8{)}^{2}J=4.5\times {10}^{15}J$

Hence, the correct answer is option (a).