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A bob of mass ' \(m\) ' suspended by a thread of length \(\text{l}\) undergoes simple harmonic oscillations with time pe…

Q1

A bob of mass ' \(m\) ' suspended by a thread of length \(\text{l}\) undergoes simple harmonic oscillations with time period \(T\). If the bob is immersed in a liquid that has density \(\frac{1}{4}\) times that of the bob and the length of the thread is increased by \({\left(\frac{1}{3}\right)}^{rd}\) of the original length, then the time period of the simple harmonic oscillations will be

[JEE Main 2021, 31 Aug (Shift 2)]

a

\(T\)

b

\(\ \frac{3}{2}T\)

c

\(\frac{3}{4}T\)

d

\(\frac{4}{3}T\)

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