Question 1 :
A satellite is in a circular orbit around the earth at an altitude $R$ above the earth's surface, where $R$ is the radius of the earth. If $g$ is the acceleration due to gravity on the surface of the earth, the speed of the satellite is:
Question 2 :
A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energies is<br>
Question 3 :
The minimum velocity of projection to go out from the earth's gravitational pull is called
Question 4 :
The time period of an earth satellite in circular orbit is independent of:
Question 7 :
Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A.Which of the following is correct?
Question 8 :
Two identical spherical masses are kept at some distance. Potential energy when a mass $m$ is taken from the surface of one sphere to the other
Question 9 :
On a planet where ${ g }_{ planet }=0.2{ g }_{ earth }$. What will be the difference in the height of column filled with mercury in a closed end manometer when the gas is filled withe pressure of $2atm$ on earth (Assuming:outside pressure to be $1atm$ on both planet; Volume of gas remain constant)
Question 12 :
The orbital angular velocity vector of a geostationary satellite and the spin angular velocity vector of the earth are<br>
Question 13 :
A man covers $60m$ distance in one minute on the surface of earth. The distance he will cover on the surface of moon in one minute is $\left ( g_{m}= \dfrac{g_{e}}{6} \right )$<br/>
Question 14 :
As we go from equator to the poles, the value of g :
Question 15 :
The time period of a simple pendulum at the center of the earth is:<br/>
Question 18 :
If the change in the value of '$g$' at a height $h$ above the surface of the earth is the same as at a depth $d$ below it. When both $d$ and $h$ are much smaller than the radius of earth, then
Question 19 :
There are two planets. The ratio of radius of the two planets is $K_r$ but ratio of acceleration due to gravity of both planets is $K_g$. What will be the ratio of their escape velocity?
Question 20 :
How much faster than its normal rate should the earth rotate about its axis so that the weight of the body at the equator becomes zero ? (Radius of the earth$= 6.4\times 10^{6}m$ and $ g = 9.8m/s^{2}$)<br>