Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Center of Mass question

2019 · 12 Jan · Shift 1 · Q55
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Center of Mass
  5. /2019 · 12 Jan · Shift 1 · Q55

Center of Mass question

2019 · 12 Jan · Shift 1 · Q55

JEE MainPhysicsCenter of MassMCQ+4 / −1
A simple pendulum, made of a string of length ℓ\ellℓ and a bob of mass m, is released from a small angle θ0{{\theta _0}}θ0​. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle θ1{{\theta _1}}θ1​. Then M is given by :
  1. A
    m2(θ0+θ1θ0−θ1){m \over 2}\left( {{{{\theta _0} + {\theta _1}} \over {{\theta _0} - {\theta _1}}}} \right)2m​(θ0​−θ1​θ0​+θ1​​)
  2. B
    m2(θ0−θ1θ0+θ1){m \over 2}\left( {{{{\theta _0} - {\theta _1}} \over {{\theta _0} + {\theta _1}}}} \right)2m​(θ0​+θ1​θ0​−θ1​​)
  3. C
    m(θ0+θ1θ0−θ1)m\left( {{{{\theta _0} + {\theta _1}} \over {{\theta _0} - {\theta _1}}}} \right)m(θ0​−θ1​θ0​+θ1​​)
  4. D
    m(θ0−θ1θ0+θ1)m\left( {{{{\theta _0} - {\theta _1}} \over {{\theta _0} + {\theta _1}}}} \right)m(θ0​+θ1​θ0​−θ1​​)
PreviousNext

More from Center of Mass

  • The position vector of the centre of mass rcm​ of an asymmetric uniform bar of negligible area of crosssection as shown in figure is : Includes diagram2019 · MCQ
  • An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, 64% of its initial kinetic energy. The mass of the nucleus is2019 · MCQ
  • A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown particle are seen moving at an angle of 90o with respect to each other. The mass of unknown particle is :2018 · MCQ
  • The mass of a hydrogen molecule is 3.32 × 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2 cm2 at an angle of 45o to the normal, and rebound elastically with a speed of 103 m/s, then the pressure on…2018 · MCQ
  • In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between…2018 · MCQ
  • Two particles A and B of equal mass M are moving with the same speed υ as shown in the figure. They collide completely inelastically and move as a single particle C. The angle θ that the path of C makes with the X-axis is… Includes diagram2017 · MCQ
  • In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then ABBC​ is close to : Includes diagram2016 · MCQ
  • A neutron moving with a speed ‘v’ makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which inelastic collision will take place is :2016 · MCQ