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Impulse and Momentum question

2021 · Shift 1 · Q51
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Impulse and Momentum question

2021 · Shift 1 · Q51

JEE AdvancedPhysicsImpulse and MomentumMultiple correct+4 / −2
A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = −-− l, y = −-− h), where l = 10 m and h = 1 m. The particle is accelerated at time t = 0 with a constant acceleration a = 10 m/s2 along the positive x-direction. Its angular momentum and torque with respect to the origin, in SI units, are represented by L→\overrightarrow LL and τ→\overrightarrow \tauτ respectively. i^\widehat ii, j^\widehat jj​ and k^\widehat kk are unit vectors along the positive x, y and z-directions, respectively. If k^\widehat kk=i^×j^\widehat i\times\widehat ji×j​ then which of the following statement(s) is(are) correct?
  1. A
    The particle arrives at the point (x = l, y = −-− h) at time t = 2 s
  2. B
    τ→=2k^\overrightarrow \tau = 2\widehat kτ=2k when the particle passes through the point (x = l, y =−-− h)
  3. C
    L→=4k^\overrightarrow L = 4\widehat kL=4k when the particle passes through the point (x = l, y =−-− h)
  4. D
    τ→=k^\overrightarrow \tau = \widehat kτ=k when the particle passes through the point (x = 0, y =−-− h)
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