Question

A satellite is orbiting the earth in a circular orbit of radius r. its.

• A. Kinetic energy varies as r
• B. Angular momentum varies as $\frac { 1 } { \sqrt { \mathrm { r } } }$
• C. Linear momentum varies as $\frac { 1 } { \mathrm { r } }$
• D. Frequency of revolution varies as $\frac { 1 } { \mathrm { r } ^ { 3 / 2 } }$

Answer 1

Answer: (D)

Frequency of revolution varies as $\frac { 1 } { \mathrm { r } ^ { 3 / 2 } }$

Answer 2

Orbital velocity of the satellite is

where is the mass of the earth

Kinetic energy,

Where m is the mass of the satellite

Hence, option (1) is incorrect.

Angular momentum,

$\mathrm { L } \propto \sqrt { \mathrm { r } }$

Hence, options (2) is incorrect.

Linear momentum, p = mv =

Hence, option (3) is incorrect.

Frequency of revolutions,

Hence, option (4) is correct.