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PhysicsJEE Main 2 Apr 2026, Shift 1·Q4·MCQ·Moderate

Motion in a Plane · Motion in a plane – kinematics

The position of an object having mass 0.1 kg as a function of time tt is given as r⃗=(10t2i^+5t3j^)\vec r = \left(10t^2\hat i + 5t^3\hat j\right) m. At t=1t = 1 s, which of the following statements are correct?
A.The linear momentum p⃗=(2i^+1.5j^)\vec p = \left(2\hat i + 1.5\hat j\right) kg.m/s.
B.The force acting on the object F⃗=(2i^+3j^)\vec F = \left(2\hat i + 3\hat j\right) N.
C.The angular momentum of the object about its origin L⃗=15k^\vec L = 15\hat k J s.
D.The torque acting on the object about its origin τ⃗=20k^\vec\tau = 20\hat k N m.
Choose the correct answer from the options given below.
  1. (1)A, B and C only
  2. (2)B, C and D only
  3. (3)A, C and D only
  4. (4)A, B and D only
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