A geostationary satellite:

1. Revolves about the polar axis

2. Has a time period less than that of the near-earth satellite

3. Moves faster than a near-earth satellite

4. Is stationary in the space

A small satellite is revolving near earth's surface. Its orbital velocity will be nearly

(1) 8 km/sec                       

(2) 11.2 km/sec

(3) 4 km/sec                       

(4) 6 km/sec

The distance of neptune and saturn from sun are nearly ${10}^{13}$ and ${10}^{12}$ meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

(1) $\sqrt{10}$                                               

(2) 100

(3) $10\sqrt{10}$                                             

(4) $1/\sqrt{10}$ 

The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is v. For a satellite orbiting at an altitude of half of the earth's radius, the orbital velocity is

(1) $\frac{3}{2}v$                     

(2) $\sqrt{\frac{3}{2}}v$

(3) $\sqrt{\frac{2}{3}}v$                   

(4) $\frac{2}{3}v$

In a satellite if the time of revolution is T, then K.E. is proportional to 

(1) $\frac{1}{T}$                       

(2) $\frac{1}{T^2}$

(3) $\frac{1}{T^3}$                       

(4) $T^{\raisebox{1ex}{$-2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$

The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is

(1)4T                                                   

(2)$\frac{T}{4}$

(3)8T                                                   

(4)$\frac{T}{8}$

If the height of a satellite from the earth is negligible in comparison to the radius of the earth R, the orbital velocity of the satellite is 

(1) gR                       

(2) gR/2

(3) $\sqrt{g/R}$                

(4) $\sqrt{gR}$

Choose the correct statement from the following.

The radius of the orbit of a geostationary satellite depends upon -

(1) Mass of the satellite, its time period and the gravitational constant

(2) Mass of the satellite, mass of the earth and the gravitational constant

(3) Mass of the earth, the mass of the satellite, time period of the satellite and the gravitational constant

(4) Mass of the earth, time period of the satellite and the gravitational constant

A planet moves around the sun. At a given point P, it is closest from the sun at a distance $d_1$ and has a speed $v_1$. At another point Q,  when  it is farthest from the sun at a distance $d_2$, its speed will be

(1)$\frac{{d_1}^2{v}_1}{{d_2}^2}$                                             

(2)$\frac{d_2{v}_1}{d_1}$

(3)$\frac{d_1{v}_1}{d_2}$                                               

(4)$\frac{{d_2}^2{v}_1}{{d_1}^2}$

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1%, its speed will 

(1) Increase by 1%                       

(2) Increase by 0.5%

(3) Decrease by 1%                     

(4) Decrease by 0.5%