Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

The time period of a satellite of earth is 5 hour. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become

Option 1)
$10\: hour$

Option 2)
$80\: hour$

Option 3)
$40\: hour$

Option 4)
$20\: hour$

Answers (1)

best_answer

As we learnt in

Kepler's 3rd law -

$T^{2}\: \alpha\: a^{3}$

From fig.

$AB=AF+FB$

$2a=r_{1}+r_{2}$

$\therefore\; a=\frac{r_{1}+r_{1}}{2}$

$a=$ semi major Axis

$r_{1}=$ Perigee

- wherein

$r_{2}=$ apogee

$T^{2}\: \alpha \: \left ( \frac{r_{1}+r_{2}}{2} \right )^{3}$

${r_{1}+r_{2}= 2a$

$T^2\propto r^3$

$\left ( \tfrac{T_{1}}{T_{2}} \right )^2=\left ( \frac{_{r_{1}}}{_{r_{2}}} \right )^3 =\left ( \frac{_{1}}{4} \right )^3$

$= \frac{1}{64}$

$\frac{T_{1}}{T_{2}} = \frac{1}{8}$

$\Rightarrow T_{2} = 8T_{1} = 40 hrs$

Option 1)

$10\: hour$

Incorrect

Option 2)

$80\: hour$

Incorrect

Option 3)

$40\: hour$

Correct

Option 4)

$20\: hour$

Incorrect

Posted by

Plabita

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025, NEET, CUET UG Dates Live: NTA exam calendar awaited at nta.ac.in

anam-khan

JEE Main 2025 session 1 exam in the last week of January; registration details

anam-khan

Over 656 UPSC, JEE, NEET, other coaching aspirants refunded more than Rs 1 crore: Govt

Latest Question