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Laws of Motion question

2020 · 6 Sep · Shift 2 · Q48
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  5. /2020 · 6 Sep · Shift 2 · Q48

Laws of Motion question

2020 · 6 Sep · Shift 2 · Q48

JEE MainPhysicsLaws of MotionMCQ+4 / −1
A particle moving in the xy plane experiences a velocity dependent force F→=k(vyi^+vxj^)\overrightarrow F = k\left( {{v_y}\widehat i + {v_x}\widehat j} \right)F=k(vy​i+vx​j​), where vx and vy are the x and y components of its velocity v→\overrightarrow vv. If a→\overrightarrow aa is the acceleration of the particle, then which of the following statements is true for the particle?
  1. A
    kinetic energy of particle is constant in time
  2. B
    quantity v→×a→\overrightarrow v \times \overrightarrow av×a is constant in time
  3. C
    quantity v→.a→\overrightarrow v .\overrightarrow av.a is constant in time
  4. D
    F→\overrightarrow FF arises due to a magnetic field
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