Atoms And Nuclei Question 351
Question: In the sun about 4 billion kg of matter is converted to energy each second. The power output of the sun in watt is
Options:
A) $ ~3.6\times 10^{26} $
B) $ 0.36\times 10^{26} $
C) $ 36\times 10^{26} $
D) $ 0.0036\times 10^{26} $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ \frac{m}{t}=4\times 10^{8}kg{{s}^{-1}} $ $ E=mc^{2} $
$ \Rightarrow \frac{E}{t}=( \frac{m}{t} )c^{2}\Rightarrow \frac{E}{t}=4\times 10^{8}\times 9\times 10^{16} $
$ \Rightarrow \frac{E}{t}=3.6\times 10^{25}J{{s}^{-1}}\Rightarrow \frac{E}{t}=3.6\times 10^{25}W $
