A uniform cylinder of length L and mass M having cross-sectional area A is suspended with…
Physics · JEE Advanced · NTA Exams — Oscillations and Waves
A uniform cylinder of length L and mass M having cross-sectional area A is suspended with its length vertical from a fixed point by a light spring such that it is half submerged in a liquid of density \(\sigma\) at equilibrium position. When the cylinder is given a small downward push and released it starts oscillating with small amplitudes. If the spring has a force constant k, then its time period of oscillations will be
- \(T=2 \pi \sqrt{\frac{M}{A \sigma g}}\)
- \(T=2 \pi \sqrt{\frac{M}{k}}\)
- \(T=2 \pi \sqrt{\frac{M}{k+A \sigma g}}\)
- none of these
Answer
(C) T=2 M k+A g
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The speed of sound in oxygen ( O_ 2 ) at a certain temperature is 460 ~ms ^ -1 . The speed of sound in helium…
- A travelling wave in a stretched string is described by the equation y = A sin ( kx – ω t ). The maximum…
- The speed of sound in a gas is v and the root mean square speed of gas molecules is vrms If the ratio of the…
- A small block of mass m is fixed at upper end of a massive vertical spring of spring constant k = 4 mg/L and…
- A particle is subjected to two simple harmonic motions along x and y directions according to x = 3 sin 100 πt…
- The mass M shown in the figure oscillates in simple harmonic motion with amplitude A . The amplitude of the…
- When temperature increases, the frequency of a tuning fork
- The length of a sonometer wire AB is 110 cm. Where should the two bridges be placed from A, to divide the…
More Oscillations and Waves questions · Browse all practice questions