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Q.

A proton and an α-particle are projected in a uniform field in a direction perpendicular to the field. If the particles move in circular paths of same radius, then the ratio of linear momentum of proton to that of α-particle is

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a

2

b

1/2

c

1/2

d

1/4

answer is C.

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Detailed Solution

If V be the velocity of projection, then r=Vω=VQB/m=mVQB⇒p=mV=QBr ∴pPpα=Qp.(Br)Qα.(Br)=QpQα=C2C=12.
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