Embibe Experts Solutions for Exercise 4: Assignment

Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3:4$ then ratio of their areal velocity is

When a satellite moves around the earth in a certain orbit, the quantity which remains constant is :

Consider a planet moving around a star in an elliptical orbit with period $T.$ The area of the elliptical orbit is proportional to

If all objects on the equator of earth feel weightless then the duration of the day will nearly become

A satellite of mass $m$ is revolving close to surface of a planet of density $d$ with time period $T.$ The value of universal gravitational constant on planet is given by

If gravitational field intensity is $E$ at distance $\frac{R}{2}$ outside from then surface of a thin shell of radius $R,$ the gravitational field intensity at distance $\frac{R}{2}$ from its centre is

If acceleration due to gravity at distance $d[<R]$ from the centre of earth is $\beta$, then its value at distance $d$ above the surface of earth will be [where $R$ is radius of earth]

Gravitational potential in a region is given by $V=-(x+y+z)\mathrm{J} {\mathrm{kg}}^{-1}.$ Find the gravitational intensity at $(2, 2, 2)\mathrm{m}.$