KEAM 2017 Physics and Chemistry Paper

Given
Semi-major axis of the orbit of saturn =grE
Where, rE= semi major axis of earth
According to Kepler's law,
T2∝r3
Let the time period of revolution of saturn around the sun is Ts
∴‌‌‌

Ts2

TE2

=(‌

9rE

rE

)3
Ts2=TE2(9)3
Ts=√TE2(9)3
=93∕2×1 year
≈27 years