The bulk modulus of a spherical object is $'B'.$If it is subjected to uniform pressure $'p',$the fractional decreases in radius is

The bulk modulus of a material is $2 imes 10^{10} \, N/m^2$. A cube of this material with a side length of 10 cm is subjected to a uniform pressure of $10^6 \, N/m^2$. The change in volume of the cube, in $m^3$, is:

A copper bar of length $L$ and area of cross-section $A$ is placed in a chamber at atmospheric pressure. If the chamber is evacuated, the percentage change in its volume will be (compressibility of copper is 8\,\, imes \,{10^{12}}\,{\rm{m}}{\,^2}{{\rm{N}}^{ - 1}}{\rm{and}}\,\,1\,\,{\rm{atm}} = {10^5}\,\,{\rm{N}}{{\rm{m}}^2})

When a weight of $10\,kg$ is suspended from a copper wire of length 3 metres and diameter $0.4\,mm$, its length increases by $2.4\,cm$. If the diameter of the wire is doubled, then the extension in its length will be

The force required to stretch a steel wire of cross section $4{\rm{ }}c{m^2}$ to 1.02 times its length would be $\left( {Y = {\rm{ }}2{\rm{ }} imes {\rm{ }}{{10}^{11}}N{\rm{ }}{m^{ - 2}}} \right)$

A spherical ball of volume $1000\,c{m^3}$ is subjected to a pressure of 10 atmosphere. The change in volume is ${10^{ - 2}}c{m^3}$. If the ball is made of iron, its bulk modulus is [Atmospheric pressure $= 1 imes {10^5}N{m^{ - 2}}$]

The isothermal bulk modulus of a gas at atmospheric pressure is

The ratio of two specific heats of gas ${C_p}/{C_v}$ for argon is ${\rm{1}}{\rm{.6}}$ and for hydrogen is ${\rm{1}}{\rm{.4}}$. Adiabatic elasticity of argon at pressure $P$ is $E$. Adiabatic elasticity of hydrogen will also be equal to $E$ at the pressure

A metallic ring of radius $r$ and cross-sectional area A is fitted into a wooden circular disc of radius $R\left( {R > r} \right)$. If the Young’s modulus of the material of the ring is $Y$ , the force with which the metal ring expands is

A metal sphere with bulk modulus $B$ is placed inside a high-pressure chamber. If the pressure inside the chamber is increased by $p$, what is the fractional change in the diameter of the sphere?

The bulk modulus of water is $2.2 imes 10^9 N/m^2$. What pressure is required to reduce its volume by 0.1%?