Time period of a satellite revolving around earth in a given orbit is 7 ,hours . If radius of orbit

English

Gujarati

Hindi

7.Gravitation

medium

The time period of a satellite revolving around earth in a given orbit is $7 \,hours$. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be ...... $hours$

A

$40$

B

$36$

C

$30$

D

$25$

(JEE MAIN-2022)

Solution

$T =\frac{2 \pi}{\sqrt{ GM }} r ^{3 / 2}$

$\frac{ T _{1}}{ T _{2}}=\left(\frac{ r _{1}}{ r _{2}}\right)^{3 / 2}=\left(\frac{1}{3}\right)^{3 / 2}$

$T _{2}= T _{1} 3 \sqrt{3}=21 \sqrt{3} \,\text { hours }$

$\approx 36 \,\text { hours }$

Standard 11

Physics

Share

Similar Questions

If the radius of earth's orbit is made $1\frac{1}{4}$, the duration of an year will become

easy

Draw areal velocity versus time graph for mars.

easy

Remote sensing satellites move in an orbit that is at an average height of about $500 \,km$ from the surface of the earth. The camera onboard one such satellite has a screen of area $A$ on which the images captured by it are formed. If the focal length of the camera lens is $50 \,cm$, then the terrestrial area that can be observed from the satellite is close to …………… $A$

normal

(KVPY-2018)

The fig. shows the motion of a planet around the un in an elliptical orbit with sun at the focus. The shaded areas can be assumed to be equal. If $t_1$ and $t_2$ represent the time taken for the planet to move from $A$ to $B$ and $C$ to $D$ respectively, then

medium

Write the Kepler law of period (Kepler’s third law) for planetary motion.

easy