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A charged particle of charge Q and mass \(m\) is suspended from a string of length \(l\) in a uniform electric field \(E…

Q1

A charged particle of charge Q and mass \(m\) is suspended from a string of length \(l\) in a uniform electric field \(E\)​. If the particle is displaced slightly and released, it undergoes small oscillations. Ignoring gravity, determine the time period of these oscillations.(Shift - I Memory Based)

a

\(2\pi \sqrt{\frac{ml}{QE}}\)​

b

\(2\pi \sqrt{\frac{2ml}{QE}}\)​

c

\(\frac{1}{2\pi }\sqrt{\frac{ml}{QE}}\)

d

\(\frac{1}{2\pi }\sqrt{\frac{2ml}{QE}}\)

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