Embibe Experts Solutions for Exercise 6: Assignment

Which of the following statements are correct about a planet revolving around Sun?

Which of the following are Kepler's laws?

For a planet revolving around Sun in an elliptical orbit, to obtain its velocity at any point we have to apply

Time period of a satellite in a circular orbit around a planet is independent of

Two satellites $S_1$ and $S_2$ revolve around a planet in co planar orbits in same sense. Their time periods are $1 \mathrm{hr}$. and $8 \mathrm{hrs}$. respectively. The radius of orbit of $S_1$ is $1000 \mathrm{km}$.

Inside a uniform sphere of mass $M$ and radius $R$, a cavity of radius $\frac{R}{2}$ is made as shown. Then

Which of the following is correct?

A cavity of radius $\frac{R}{2}$ is made in a uniform sphere of mass $M$ and radius $R$ as shown in figure. A particle is projected from the centre of cavity at an angle of $45°$ with speed $\sqrt{\frac{GM}{4R}}$ in $xy$ plane. Considering the motion of particle before collision with the wall of cavity, choose the correct option(s).  $\frac{q}{m}=1 \mathrm{C} {\mathrm{kg}}^{-1}$