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  • A body of mass is situated on the earth in the gravitational tield of sun. For the body to escape fro

A body of mass \mathrm{m} is situated on the earth in the gravitational tield of sun. For the body to escape from the gravitational pull of the solar system the body must be imparted an escape velocity of (assume earth to be stationary).
 

Option: 1

11.2 \mathrm{kms}^{-1}

 


Option: 2

22.4 \mathrm{kms}^{-1}
 


Option: 3

33.6 \mathrm{kms}^{-1}
 


Option: 4

42 \mathrm{kms}^{-1}


Answers (1)

best_answer

\mathrm{\mathrm{v}=\sqrt{\frac{2 \mathrm{GM}_{\mathrm{s}}}{\mathrm{R}_{\mathrm{se}}}}}

\mathrm{ \Rightarrow \mathrm{v}=\sqrt{\frac{2\left(6.67 \times 10^{-11}\right)\left(2 \times 10^{30}\right)}{1.5 \times 10^{11}}} }

\mathrm{ \Rightarrow \mathrm{v}=42.174 \mathrm{kms}^{-1}}

Hence option 4 is correct.



 

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