Home/
Competitive Exams/
JEE Main & Advanced/
Physics/
Center of Mass, Momentum and Collision/
Question 30572
JEE Physics · Hard

Center of Mass, Momentum and Collision: Advanced — Tsiolkovsky MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Advanced — TsiolkovskyHardQuestion 30572

Question

A rocket ejects mass at exhaust speed u = 3 km/s. What mass ratio M₀/M_final is needed to reach v = 6 km/s from rest (in gravity-free space)?
  1. A
    e²
    Correct
  2. B
    e³
  3. C
    e
  4. D
    e⁴

Correct answer

e²

Explanation

v = u ln(M₀/M). 6 = 3 ln(M₀/M) → ln(M₀/M) = 2 → M₀/M = e².

Review Center of Mass, Momentum and Collision notesStart timed chapter practice