Question

In the Sun, about 4billion kg of matter is converted into energy each second. The power output of Sun in watt is

• A. 3.6 x 10 ${}^{26}$
• B. 0.36 x 10 ${}^{26}$
• C. 36 x 10 ${}^{26}$
• D. 0.036 x 10 ${}^{26}$

Answer 1

Answer: (A)

3.6 x 10 ${}^{26}$

Mass converted is: $m=4\times {10}^{9}kg$

Using Einstein's relation: $E=m{c}^2$

$E=4\times {10}^9\times (3\times {10}^8{)}^2=3.6\times {10}^{26}J/s$

Hence energy conversion rate is: $E=3.6\times {10}^{26}W$