Time period and orbit radius of satellites or planets (Kepler's third law)
This type of question, asked 14 times: 2021 Paper 1, 2021 Paper 3, 2021 Paper 8, 2021 Paper 9, 2021 Paper 24, 14 Jun 2022, 29 Jun 2022, 24 Jan 2023, 29 Jan 2023, 29 Jan 2024, 5 Apr 2024, 23 Jan 2025, 24 Jan 2025, 2 Apr 2026 S1. All 14 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 1
2Consider two satellites and with periods of revolution . and . respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite to the angular velocity of satellite is -Tap an option to check your answer.
Question 2
2021 Paper 3
7Two satellites A and B of masses and are revolving round the earth at height of and respectively. If and are the time periods of and respectively then the value of : [Given : radius of earth , mass of earth ]Tap an option to check your answer.
Question 3
2021 Paper 8
6A geostationary satellite is orbiting around an arbitrary planet ' ' at a height of above the surface of ' ', being the radius of ' '. The time period of another satellite in hours at a height of from the surface of ' ' is: ('P' rotates once about its axis in 24 hours.)Tap an option to check your answer.
Question 4
2021 Paper 9
20The time period of a satellite in a circular orbit of radius is . The period of another satellite in a circular orbit of radius is:Tap an option to check your answer.
Question 5
2021 Paper 24
23Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour and 8 hours respectively. The radius of the orbit of nearer satellite is . The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closest is where is .....Question 6
14 Jun 2022
92The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes will be:Tap an option to check your answer.
Question 7
29 Jun 2022
100The 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:Tap an option to check your answer.
Question 8
24 Jan 2023
96If the distance of the earth from Sun is . Then the distance of an imaginary planet from Sun, if its period of revolution is 2.83 years is:Tap an option to check your answer.
Question 9
29 Jan 2023
105The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.Tap an option to check your answer.
Question 10
29 Jan 2024
104A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it take to complete one revolution?Tap an option to check your answer.
Question 11
5 Apr 2024
109A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius of the orbit around the planet is : (Given: radius of the geostationary orbit for earth is )Tap an option to check your answer.
Question 12
23 Jan 2025
85If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon days and gravitational attraction between the satellite and the moon is neglected.Tap an option to check your answer.
Question 13
24 Jan 2025
14A satellite is launched into a circular orbit of radius ' R ' around the earth. A second statellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is larger than the first one approximately by :-Tap an option to check your answer.
Question 14
2 Apr 2026 S1
5A planet ( ) is moving around the star of mass 2 M in the orbit of radius R . Another planet ( ) is moving around another star of mass 4 M in a orbit of radius . Ratio of time periods of revolution of and is .Tap an option to check your answer.