Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

A radioactive nucleus at rest having& mass number A , emits an...

A radioactive nucleus at rest having& mass number AA, emits an alpha-particle with speed vv. The recoil speed of the daughter& nucleus is

Options

  1. A2v(A−4)\dfrac{2v}{( A - 4 )}
  2. B2v(A+4)\dfrac{2v}{( A + 4 )}
  3. C4v(A−4)\dfrac{4v}{( A - 4 )}
  4. D4v(A+4)\dfrac{4v}{( A + 4 )}

Correct answer

C. 4v(A−4)\dfrac{4v}{( A - 4 )}

Step-by-step solution

As per the law of conservation of momentum,
0=4v−(A−4)vr0 = 4v - \left(A - 4\right){v}_{r}
∴R∴ Recoil speed vr=4v(A−4){v}_{r} = \dfrac{4v}{( A - 4 )}
Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v_1 = 4 i m/s and… JEE Main 2026The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect… JEE Main 2026Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which… JEE Main 2026The position of an object having mass 0.1 kg as a function of time t is given as r =… JEE Main 2026A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses… JEE Main 2026In a perfectly inelastic collision, two spheres made of the same material with masses 15… JEE Main 2026Given below are two statements : Statement I : For a mechanical system of many particles… JEE Main 2026In a scattering experiment, a particle of mass 2 m collides with another particle of mass… JEE Advanced 2025 Full Center of Mass, Momentum and Collision list All NTA Abhyas JEE Main PYQs