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Q.

An electron moving with kinetic energy 6.6 x 10-14 J enters a magnetic field 4 X10-3 T at right angle to it, The radius of circular path will be nearest to

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a

50 cm

b

25 cm

c

75 cm

d

1m

answer is B.

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Detailed Solution

evB=mv2/R or ebR=mv
Squaring on both sides, we get
e2B2R2=m2v2=2m12mv2=2m× K.E.  R=(2m×K.E.)1/2eB=2×91×1031×66×10141/21.6×1019×4×103
= 54 cm, which is nearest to 50 cm.

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