Mechanical Properties of Solids

A material has a bulk modulus of 25 × 10¹¹ N/m². If it undergoes a volumetric strain of 0.2%, what is the excess pressure applied ?

(Shift -II Memory based)

When a force of 5N is applied extension in the spring is found to be \({x}_{1}\), extension becomes \({x}_{2}\) when the force applied is 7N. Calculate the tension in spring when extension is \(5{x}_{1}-2{x}_{2}\)

(Shift - II Memory Based)

When a force of 5N is applied extension in the spring is found to be \({x}_{1}\), extension becomes \({x}_{2}\) when the force applied is 7N. Calculate the tension in spring when extension is \(5{x}_{1}-2{x}_{2}\)

(Shift - II Memory Based)

A ball descends to the bottom of a sea with a depth of 2.5 km, experiencing a decrease of x% in its volume due to the surrounding pressure. Given that the bulk modulus of the ball's material is \(2\times 1{0}^{9}\), determine the value of \(x\).

The fractional compression \(\left(\frac{\Delta V}{V}\right)\) of water at the depth of 2.5 km below the sea level is ______ %.

Given, the Bulk modulus of water \(=2\times {10}^{9}N{m}^{-2}\), density of water \(={10}^{3}\) \(kg{m}^{-3}\), acceleration due to gravity \(=g=10m{s}^{-2}\).

[JEE Main 2025, 29 Jan (Shift 1)]

The fractional compression \(\left(\frac{\Delta V}{V}\right)\) of water at the depth of 2.5 km below the sea level is ______ %.

Given, the Bulk modulus of water \(=2\times {10}^{9}N{m}^{-2}\), density of water \(={10}^{3}\) \(kg{m}^{-3}\), acceleration due to gravity \(=g=10m{s}^{-2}\).

[JEE Main 2025, 29 Jan (Shift 1)]

A cube of side 10 cm having bulk modulus of \(1.4 \times 10^{11} \mathrm{~Pa}\) is placed in atmosphere. Now it is subjected to extra pressure of \(7 \times 10^6 \mathrm{~Pa}\) then magnitude of change in volume of cube is

(Shift - II Memory Based)

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