Home
Class 11
PHYSICS
A geostationary satellite is orbiting th...

A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, where R is the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of the earth is …… hours.

A

`24 h`

B

`6//2.5 h`

C

`2.5//6 h`

D

`6 sqrt(2) h`

Text Solution

Verified by Experts

The correct Answer is:
D
Here `T = 24 hr`
According to kepler's law `T^(2) prop r^(3)`,
`:. T_(2)^(2) prop r_(2)^(3)` and `T_(1)^(2) prop r_(1)^(3)`
Let `r_(2)= 2.5 R + R = 3.5 R, r_(1) = 6R + R = 7R`
`(T_(2))/(T_(1)) = ((r_(2))/(r_(1)))^(3//2) = ((3.5R)/(7R))^(3//2) = ((1)/(2))^(3//2)`
or `(T_(2))/(T_(1)) = (1)/(2sqrt(2))`
or `T_(2) = (1)/(2sqrt(2)) T_(1) = (1)/(2sqrt(2)) xx 24 = 6 sqrt(2) h`.
Promotional Banner

Topper's Solved these Questions

  • GRAVIATION

    PRADEEP|Exercise Multiple Choice questions II.|2 Videos

  • GRAVIATION

    PRADEEP|Exercise Multiple Choice questions III.|2 Videos

  • GRAVIATION

    PRADEEP|Exercise MULTIPLE CHOICE QUESTIONS -II|1 Videos

  • BEHAVIOUR OF PERFECT GAS & KINETIC THEORY

    PRADEEP|Exercise Assertion - Reason Type questions|14 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 NCERT Comprehension|4 Videos

Similar Questions

Explore conceptually related problems

A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R form the surface of the earth is

A geostationary satellite is orbiting the earth at a height of 6R above the surface oof earth where R is the radius of the earth .The time period of another satellite at a distance of 3.5R from the centre of the earth is ….. hours.

A geostationary satellite is orbiting the Earth at a height of 6 R above the surface of Earth, where R is the radius of the Earth. The time period of another satellites is 6 sqrt(2) h . Find its height from the surface of Earth.

A satellite of time period 2A h is orbiting the earth at a height 6R above the surface of earth, where R is radius of earth. What will be the time period of another satellite at a height 2.5 R from the surface of earth ?

The period of revolution of a satellite orbiting Earth at a height 4R above the surface of Warth is x hrs, where R is the radius of earth. The period of another satellite at a height 1.5R from the surface of the Earth is

A satellite having time period same as that of the earth's rotation about its own axis is orbiting the earth at a height 8R above the surface of earth. Where R is radius of earth. What will be the time period of another satellite at a height 3.5 R from the surface of earth ?

A geostationary satellite is orbiting around an arbitary planet ‘P at a height of 11 R above the surface of 'P, R being the radius of 'P'. The time period of another satellite in hours at a height of 2R from the surface of 'P' is ____. 'P' has the time period of 24 hours.

A geostationary satellite is at a height h above the surface of earth. If earth radius is R -

A geostationary satellite is orbiting the earth at height 11R above surface of the earth. R being radius of earth. If the time period of this satellite is 24hr find out time period of another satellite which is revolving at 2R from surface of earth