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Question: An electron has mass ![](https://cdn.pureessence.tech/canvas_178.png?top_left_x=300&top_left_y=584&w...

An electron has mass and charge 1.6×10−19C1.6 \times 10 ^ { - 19 } \mathrm { C } is moving with a velocity of 106 m/s10 ^ { 6 } \mathrm {~m} / \mathrm { s } , enters a region where magnetic field exists. If it describes a circle of radius 0.10 m, the intensity of magnetic field must be

A

1.8×10−4 T1.8 \times 10 ^ { - 4 } \mathrm {~T}

B

5.6×10−5 T5.6 \times 10 ^ { - 5 } \mathrm {~T}

C

14.4×10−5T14.4 \times 10 ^ { - 5 } T

D

1.3×10−6T1.3 \times 10 ^ { - 6 } T

Answer

5.6×10−5 T5.6 \times 10 ^ { - 5 } \mathrm {~T}

Explanation

Solution

B=mvqr=9×10−31×1061.6×10−19×0.1=5.6×10−5 TB = \frac { m v } { q r } = \frac { 9 \times 10 ^ { - 31 } \times 10 ^ { 6 } } { 1.6 \times 10 ^ { - 19 } \times 0.1 } = 5.6 \times 10 ^ { - 5 } \mathrm {~T}