Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202229 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Evening Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2022 · 29 June · Evening Shift · Physics · Gravitation

The time period of a satellite revolving around earth in a given...

The time period of a satellite revolving around earth in a given orbit is 77 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

Options

  1. A36hours36hours
  2. B40hours40hours
  3. C30hours30hours
  4. D25hours25hours

Correct answer

A. 36hours36hours

Step-by-step solution

From Kepler's Third Law(The Law of Periods), we know

T2∝R3⇒T22T12=(R2R1)3=(3RR)3{T}^{2} ∝ {R}^{3} ⇒ {T}_{2}^{2}{T}_{1}^{2} = {\left(\dfrac{{R}_{2}}{{R}_{1}}\right)}^{3} = {\left(\dfrac{3R}{R}\right)}^{3}

Therefore, T2=27T1{T}_{2} = \sqrt{27}{T}_{1}

=5.19×7≈36hours= 5 . 19 \times 7 \approx 36hours

Practice Gravitation on Quantrex Academy →

More from Gravitation

A particle of mass m , and angular momentum ℓ is moving in a circular orbit of radius r_0… JEE Advanced 2026A body of mass m is taken from the surface of earth to a height equal to twice the radius… JEE Main 2026When one moves from a point 16 km below the earth's surface to a point 16 km above the… JEE Main 2026The height in terms of radius of the earth (R) , at which the acceleration due to gravity… JEE Main 2026If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and… JEE Main 2026A planet (P_1) is moving around the star of mass 2M in the orbit of radius R . Another… JEE Main 2026Three masses 200 ~kg, 300 ~kg and 400 kg are placed at the vertices of an equilateral… JEE Main 2026Given below are two statements: Statement I : A satellite is moving around earth in the… JEE Main 2026 Full Gravitation list All JEE Main PYQs