A uniform cylinder of length L and mass M having cross-sectional area A is suspended…
Physics · JEE Advanced · NTA Exams — Properties of Solids and Liquids
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 massless spring such that it is half submerged in a liquid of density σ at equilibrium position. The extension x0 of the spring when it is in equilibrium is
- \(\frac{\mathrm{Mg}}{\mathrm{k}}\)
- \(\frac{\mathrm{Mg}}{\mathrm{k}}\left(1-\frac{\mathrm{LA} \sigma}{\mathrm{M}}\right)\)
- \(\frac{\mathrm{Mg}}{\mathrm{k}}\left(1-\frac{\mathrm{LA} \sigma}{2 \mathrm{M}}\right)\)
- \(\frac{\mathrm{Mg}}{\mathrm{k}}\left(1+\frac{\mathrm{LA} \sigma}{\mathrm{M}}\right)\)
Answer
(C) Mg k (1- LA 2 M )
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