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Saturday, 31 October

JEE Main 2023 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 11 April 2023, Shift 2, Physics Q33

Question 33 of 90 in this shift, Physics question 3 of 30, Section A.

A space ship of mass 2×104 kg2\times10^{4}\ \mathrm{kg} is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcome the gravitational pull will be (if g=10 m/s2g = 10\ \mathrm{m/s^2} and radius of earth = 6400 km6400\ \mathrm{km}):
  1. (1)11.2 (2−1) km/s11.2\,(\sqrt{2}-1)\ \mathrm{km/s}
  2. (2)7.4 (2−1) km/s7.4\,(\sqrt{2}-1)\ \mathrm{km/s}
  3. (3)8 (2−1) km/s8\,(\sqrt{2}-1)\ \mathrm{km/s}Official answer
  4. (4)7.9 (2−1) km/s7.9\,(\sqrt{2}-1)\ \mathrm{km/s}

Official answer

Option 3

NTA final key.

Chapter
Gravitation
Topic
Orbital Mechanics
Idea tested
Escape from an Orbiting State

Same topic in other shifts

All Orbital Mechanics questions
  1. 2 Apr 2026, Shift 1 · Q30A planet (P1P_1) is moving around the star of mass 2M2M in the orbit of radius RR. Another planet (P2P_2) is moving around another star…EasySingle correct
  2. 2 Apr 2025, Shift 2 · Q47A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic…MediumNumerical value
  3. 7 Apr 2025, Shift 2 · Q31Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The radius…EasyAssertion–reason
  4. 4 Apr 2024, Shift 2 · Q37Correct formula for height of a satellite from earths surface is:MediumSingle correct
  5. 5 Apr 2024, Shift 1 · Q36Match List I with List II : List I List II (A) Kinetic energy of planet | (I) −GMma-\frac{GMm}{a} (B) Gravitation Potential energy of…MediumMatch the list
  6. 5 Apr 2024, Shift 2 · Q37A 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…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.