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 spherical object is $'B'.$If it is subjected to uniform pressure $'p',$the fractional decreases in radius 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})

A wire of area of cross-section ${10^{ - 6}}{m^2}$ is increased in length by $0.1\%$. The tension produced is 1000 N. The Young’s modulus of wire 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?

For a perfectly incompressible material, which of the following is TRUE?

A spherical object is subjected to uniform pressure. Which of the following correctly relates the fractional decrease in radius ($\frac{\Delta r}{r}$), the bulk modulus ($B$), and the applied pressure ($p$)?

The bulk modulus of a material is a measure of its:

A solid sphere of radius $r$ made of a material of bulk modulus $k$ is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid. When a mass m is placed on the piston to compress the liquid, the fractional change in the radius of the sphere ($dr/r$) is

If a bar is made of copper whose coefficient of linear expansion is one and a half times that of iron, the ratio of the force developed in the copper bar to the iron bar of identical lengths and cross-sections, when heated through the same temperature range (Young’s modulus for copper may be taken equal to that of iron) is

If the volume of a block of aluminium is decreased by 1%, the pressure (stress) on its surface is increased by (Bulk modulus of ${\rm{A}}1 = 7.5\,\, imes {10^{10}}\,\,{\rm{N}}{{\rm{m}}^{ - 2}})$