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An electron of mass 0.90 x 10-30 kg under the action of a magnetic field moves in a circle of 2.0 cm radius at a speed of 3.0 x 106 ms-1. If a proton of mass 1.8 x 10-27 kg was to move in a circle of the same radius in the same magnetic field, then its speed will be

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a

3.0x 106ms-1

b

1.5x103ms-1

c

6.0x 104ms-1

d

Cannot be estimated from the given data

answer is B.

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Detailed Solution

Bqv=mv2r or Bqr=mvFor electron as well as proton B is the same, r is the same and numerically charge is same; therefore mv is constant.meve=mpvp or vp=mempve or vp=0.90×10-301.8×10-273.0×106=1.5×103 m/s

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An electron of mass 0.90 x 10-30 kg under the action of a magnetic field moves in a circle of 2.0 cm radius at a speed of 3.0 x 106 ms-1. If a proton of mass 1.8 x 10-27 kg was to move in a circle of the same radius in the same magnetic field, then its speed will be