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  • A cylindrical block of area of cross-section A and of material of density is placed in a liqu

A cylindrical block of area of cross-section A and of material of density \mathrm{\rho} is placed in a liquid of density one-third of density of block. The block compresses a spring and compression in the spring is one-third of the length of the block. If acceleration due to gravity is \mathrm{g}, the spring constant of the spring is

Option: 1

\mathrm{\rho A g}


Option: 2

\mathrm{2\rho A g}


Option: 3

\mathrm{2 \rho A g / 3}


Option: 4

\mathrm{ \rho A g / 3}


Answers (1)

best_answer

\mathrm{\begin{aligned} & \mathrm{~V}=\mathrm{A} \cdot \ell . \\ & \text { Now } \frac{\mathrm{A} \ell \rho \mathrm{g}}{3}+\frac{\mathrm{K} \ell}{3}=\mathrm{A} \ell \rho \\ & \mathrm{K}=2 \rho \mathrm{Ag} \\ & \end{aligned}}

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