JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    In the sun about 4 billion kg of matter is converted to energy each second. The power output of the sun in watt is

    A)  \[~3.6\times {{10}^{26}}\]

    B)  \[0.36\times {{10}^{26}}\]

    C)  \[36\times {{10}^{26}}\]

    D)  \[0.0036\times {{10}^{26}}\]

    Correct Answer: B

    Solution :

    [b] \[\frac{m}{t}=4\times {{10}^{8}}kg{{s}^{-1}}\] \[E=m{{c}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\frac{E}{t}=\left( \frac{m}{t} \right){{c}^{2}}\Rightarrow \frac{E}{t}=4\times {{10}^{8}}\times 9\times {{10}^{16}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{E}{t}=3.6\times {{10}^{25}}J{{s}^{-1}}\Rightarrow \frac{E}{t}=3.6\times {{10}^{25}}W\]


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