Answer : The time will be, [tex]5.3\times 10^{11}s[/tex]
Explanation :
Formula used :
[tex]\text{Time}=\frac{\text{total energy}}{Power}[/tex]
[tex]\text{Time}=\frac{(\text{energy per kg})\times (\text{mass of sun})}{Power}[/tex]
Given:
Energy = 10⁸ joules
Mass of sun = [tex]2\times 10^{30}kg[/tex]
Power = [tex]3.8\times 10^{26}J/s[/tex]
Now put all the given values in the above formula, we get:
[tex]\text{Time}=\frac{(10^8J)\times (2\times 10^{30}kg)}{3.8\times 10^{26}J/s}[/tex]
[tex]\text{Time}=5.3\times 10^{11}s[/tex]
Thus, the time will be, [tex]5.3\times 10^{11}s[/tex]
