JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 4 April 2024, Shift 2, Physics Q37

Question 37 of 90 in this shift, Physics question 7 of 30, Section A.

Correct formula for height of a satellite from earths surface is:

(1) $\left(\frac{T^2R^2}{4\pi^2 g}\right)^{1/3}-R$
(2) $\left(\frac{T^2R^2 g}{4\pi}\right)^{1/2}-R$
(3) $\left(\frac{T^2R^2 g}{4\pi^2}\right)^{-1/3}+R$
(4) $\left(\frac{T^2R^2 g}{4\pi^2}\right)^{1/3}-R$ Official answer

Official answer

Option 4

: NTA final key: 68019154488 (option 4) for qid 68019113830, recovered from the merged Q36 key row; physics agrees.

Chapter: Gravitation
Topic: Orbital Mechanics
Idea tested: Orbital Time Period

Same idea in other shifts

Asked 10× in all

2 Apr 2026, Shift 1 · Q30A planet ( $P_1$ ) is moving around the star of mass $2M$ in the orbit of radius $R$ . Another planet ( $P_2$ ) is moving around another star…EasySingle correct
10 Apr 2023, Shift 2 · Q37The time period of a satellite, revolving above earth's surface at a height equal to R will be (Given $g = \pi^2$ m/s $^2$ , R = radius of…MediumSingle correct
29 Jun 2022, Shift 2 · Q40The 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…EasySingle correct
3 Aug 2021, Shift 1 · Q28The time period of a satellite of earth is 10 hours. If the separation between the earth and the satellite is increased to 16 times the…EasyNumerical value
24 Feb 2021, Shift 1 · Q5Consider two satellites $S_1$ and $S_2$ with periods of revolution 1 hr. and 8 hr. respectively revolving around a planet in circular…EasySingle correct
25 Feb 2021, Shift 1 · Q6Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respectively. If $T_A$ …MediumSingle correctHas a figure
17 Mar 2021, Shift 2 · Q4A geostationary satellite is orbiting around an arbitary planet 'P' at a height of 11R above the surface of 'P', R being the radius of…EasySingle correct
18 Mar 2021, Shift 2 · Q5If the angular velocity of earth’s spin is increased such that the bodies at the equator start floating, the duration of the day would be…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.