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Question

# Assuming mass m of the charged particle, find time period of oscillation2π√q1q4πε0a3m2π√4πε0a3mq1qπ2π√q1q4πε0q3mnone of these

A
π2πq1q4πε0q3m
B
none of these
C
2πq1q4πε0a3m
D
2π4πε0a3mq1q
Solution
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#### E0=2E1cosθ=q4πε0(x2+a2)x√x2+a2−q1E=F=mf=−q1qx4πε0(x2+a2)3/2 as x << a, neglectingx2 as compared to acceleration, f=−q1q2x4πε0a3mComparing it with f=ω2xω√q1q4πε0a3m or T=2π√4πε0a3mq1q

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