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Q.

A proton and an electron, both moving with the same velocity v, enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that

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a

Their orbital radii will be same

b

Their time periods will be same

c

The time period for proton will be higher

d

The time period for electron will be higher

answer is B.

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Detailed Solution

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We know that time period, T=2πmqB,  i.e.,  T    m

(Since q and B are same)

   Mass of proton > Mass of electron

  Time period of proton  > Time period of electron

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A proton and an electron, both moving with the same velocity v, enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that