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 B1017 rad/sec
B=16Wb/m2
R=˚A
as B=μ0I4πR2∮dLB=μ0I4πR2×2πR=μ0I2R
as I=et or I=e×ωπ (as 2πω=t)
So, 16=4π×10−7×(1.6×1019)×ω2π2×10−10⇒ω=16×10−101.6×10−26⇒ω=1017rad/sec