Q149 / 160 · TS EAMCET 2019 (03 May Shift 2) · Physics

A proton accelerated by a potential difference 500kV flies through a uniform transverse magnetic field 0.1 T. The field is spread on a region of 1.0 cm thickness. The angle through which the proton gets deviated from its original direction is (Proton mass =1.6×10-27 kg and charge of proton=1.6×10-19C )

  • Correct answer
    A
    0.01rad
  • B
    0.1rad
  • C
    0.05rad
  • D
    0.08rad

Solution

The radius of circular path is,

R=2mKEqB=2×1.6×10-27×1.6×10-16× 500×1031.6×10-16× 0.1=1 m

Since KE=qV

For small value of θ and arc of cirlcle,

θ=arcR=1×10-21=10-2=0.01 rad

Hence, the correct answer is option: 'A'.

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