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Q.

Force acting on a particle is given by F=a×P, where ,a   is a constant vector and  P is linear momentum of the particle. Choose the correct option(s):  

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a

Linear momentum of the particle is conserved

b

If  |F| is constant and  aP  path described by the particle is a circle

c

speed of the particle remain same

d

Kinetic energy of the particle is conserved

answer is A, B, D.

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Detailed Solution

detailed_solution_thumbnail

F=a×P

F  is always perpendicular to   P
So , It can’t change speed hence KE is also constant.
P will change its direction. 
|F| will be constant; so particle will move on a circular trajectory.
 

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