For the moon to cease as the earth's satellite, its orbital velocity has to be increased by a factor of -

How many times is escape velocity, of orbital velocity for a satellite revolving near earth?

(a)$\sqrt{2}$ times                    (b) 2 times

(c) 3 times                       (d) 4 times

The value of escape velocity on a certain planet is 2 km/s. Then the value of orbital speed

for a satellite orbiting close to its surface is:

1. 12km/s                                                                 

2. 1km/s

3. $\sqrt{2 } km/s$                                                             

4. $2\sqrt{2} km/s$

If $v_e$ and $v_o$ represent the escape velocity and orbital velocity of a satellite corresponding

to a circular orbit of radius R, then 

1. $v_e=v_o$                     

2. $\sqrt{2}{v}_o=v_e$

3. $v_e=v_o/\sqrt{2}$               

4. $v_e$ and $v_o$ are not related

An earth satellite of mass m revolves in a circular orbit at a height h from the surface of

the earth. R is the radius of the earth and g is acceleration due to gravity at the surface

of the earth. The velocity of the satellite in the orbit is given by:

1. $\frac{g{R}^2}{R+h}$                     

2. gR

3. $\frac{gR}{R+h}$                     

4. $\sqrt{\frac{g{R}^2}{R+h}}$

The ratio of the K.E. required to be given to the satellite to escape earth's gravitational

field to the K.E. required to be given so that the satellite moves in a circular orbit just

above earth atmosphere is:

1. One                           

2. Two

3. Half                           

4. Infinity

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

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) $\sqrt{gR}$

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%