Manipal Entrance Test 2013 Physics Paper

Larger the distance of planet from the sun, larger will be its period of revolution around the sun.
Kepler's third low planetary motion the square of the period of revolution of any planet around the sun is directly proportional to the cube of the semi-major axis of its elliptical orbit
∴ T2∝R3

TS

TC

=(

RS

RC

)

3

2

given Rs=4Rc

Ts

Tc

=(

4Rc

Rc

)

3

2

=8
for‌Tc=1‌day
Ts=8days.