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  • The mean radius of the earth's around the sun is metre. The mean radius of

The mean radius of the earth's around the sun is 1.5 \times 10^{11} metre. The mean radius of the orbit of mercury around the sun is 6 \times 10^{10} metre. The mercury will rotate around the sun in
 

Option: 1

1 year

 


Option: 2

nearly 4 years


Option: 3

nearly 1/4 years


Option: 4

2.5 years


Answers (1)

best_answer

\mathrm{\frac{\mathrm{T}_{\text {mercury }}^2}{\mathrm{~T}_{\text {earth }}}=\frac{\left(6 \times 10^{10}\right)^3}{\left(1.5 \times 10^{11}\right)^3}=\left(\frac{4}{10}\right)^3 }

\mathrm{ \frac{\mathrm{T}_{\text {mercury }}^2}{\mathrm{~T}_{\text {earth }}}=\left(\frac{4}{10}\right)^{3 / 2} ; \mathrm{T}_{\text {mercury }}=\frac{1}{4} \text { year } }

Hence option 3 is correct.
 

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manish

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