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Question

An electron is moving around a proton in an orbit of radius 1˚A and produces 16Wb/m2 of magnetic field at the centre, then find the angular velocity of electron:

A
20π×1016 rad/sec
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B
1017 rad/sec
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C
52π×1016 rad/sec
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D
54π×1016 rad/sec
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Solution

The correct option is B 1017 rad/sec

B=16Wb/m2
R=˚A
as B=μ0I4πR2dLB=μ0I4πR2×2πR=μ0I2R
as I=et or I=e×ωπ (as 2πω=t)
So, 16=4π×107×(1.6×1019)×ω2π2×1010ω=16×10101.6×1026ω=1017rad/sec

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