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Q.

A beam of 30 MeV α-particles is to be obtained from a cyclotron of radius 50cm. The strength of magnetic field required to be applied will be

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a

15.82 T

b

0.01582 T

c

1.582 T

d

0.1582 T

answer is A.

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Detailed Solution

r=2mkEBq;B=2m×kEq(r)B=2×1.6×10−27×4×30×1.6×10−131.6×10−19×50×10−2
B = 1.58T

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A beam of 30 MeV α-particles is to be obtained from a cyclotron of radius 50cm. The strength of magnetic field required to be applied will be