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Impulse and Momentum question

2013 · Shift 2 · Q43
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Impulse and Momentum question

2013 · Shift 2 · Q43

JEE AdvancedPhysicsImpulse and MomentumMultiple correct+3 / −0.75
A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. It collides elastically with a rigid wall. After this collision,
  1. A
    the speed of the particle when it returns to its equilibrium position is u0.
  2. B
    the time at which the particle passes through the equilibrium position for the first time is t=πmkt = \pi \sqrt {{m \over k}}t=πkm​​
  3. C
    the time at which the maximum compression of the spring occurs is t=4π3mkt = {{4\pi } \over 3}\sqrt {{m \over k}}t=34π​km​​
  4. D
    the time at which the particle passes through the equilibrium position for the second time is t=5π3mkt = {{5\pi } \over 3}\sqrt {{m \over k}}t=35π​km​​
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