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Saturday, 31 October

JEE Main 2020 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 8 January 2020, Shift 2, Physics Q22

Question 22 of 75 in this shift, Physics question 22 of 25, Section B.

An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is the radius of the earth) from the earths centre, it has a speed of 12 km/s12\ \mathrm{km/s}. Neglecting the effect of earths atmosphere, what will be the speed of the asteroid when it hits the surface of the earth (escape velocity from the earth is 11.2 km/s11.2\ \mathrm{km/s})? Give your answer to the nearest integer in kilometer/s __________.

Official answer

16.00

NTA final key (Jan 2020).

Chapter
Gravitation
Topic
Gravitational Potential
Idea tested
Escape Velocity and Potential Relation

Same idea in other shifts

Asked 8× in all
  1. 2 Apr 2026, Shift 2 · Q31If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and kinetic energy (k) on reaching the surface of earth.…MediumSingle correct
  2. 4 Apr 2025, Shift 2 · Q29An object is kept at rest at a distance of 3R above the earth's surface where R is earth's radius. The minimum speed with which it must be…MediumSingle correct
  3. 6 Apr 2024, Shift 1 · Q33To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is RER_E, g =…EasySingle correct
  4. 13 Apr 2023, Shift 1 · Q36A planet having mass 9 Me and radius 4Re4R_e, where Me and Re are mass and radius of earth respectively, has escape velocity in km/s given…EasySingle correct
  5. 31 Aug 2021, Shift 1 · Q17The masses and radii of the earth and moon are (M1M_1, R1R_1) and (M2M_2, R2R_2) respectively. Their centres are at a distance 'r' apart.…MediumSingle correct
  6. 25 Feb 2021, Shift 1 · Q1Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The escape velocities…EasyAssertion–reason
  7. 17 Mar 2021, Shift 1 · Q26The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity is increased 10…EasyNumerical value

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.