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Q.

Two protons are projected simultaneously from a fixed point with the same velocity v with a region where there exists a uniform magnetic field . The magnetic field strength is B, and is perpendicular to the initial direction of v. One proton starts at time t=0 and another proton at time t=πm2qB. The separation between them at time t=πmqB[where m and q are the mass and charge of proton], will approximately (neglect electrostatic force between protons)

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a

mv2qB

b

2mvqB

c

mvqB

d

2mvqB

answer is B.

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Detailed Solution

Given, time t=πmqB=T2 of proton

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Given image

d=2r=2mvqB

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