Question

A planet revolves round the sun in an elliptical orbit of semi minor and major axes $x$ and $y$ respectively. Then the time period of revolution is proportional to:

• A. ${(x+y)}^{\frac{3}{2}}$
• B. ${(y-x)}^{\frac{3}{2}}$
• C. $x^{\frac{3}{2}}$
• D. $y^{\frac{3}{2}}$

Answer 1

The correct option is D $y^{\frac{3}{2}}$

According to the kepler’s law the square of the time period is proportional to cube of semi major axis of ellipse.

So, the time period of revolution is proportional to $y^{\frac{3}{2}}$