$A$ and $B$ are two wires. The radius of $A$ is twice that of $B$. They are stretched by the same load. Then the stress on $B$ is

A force $F$ is needed to break a copper wire having radius $R$. The force needed to break a copper wire of radius $2R$ will be

One litre of a gas is maintained at pressure ${\rm{72}}\,\,{\rm{cm}}$ of mercury. It is compressed isothermally so that its volume becomes $900\,\,{\rm{c}}{{\rm{m}}^3}$. The value of stress and strain will be respectively

A rope ${\rm{1}}\,\,{\rm{cm}}$ in diameter breaks, if the tension in it exceeds ${\rm{500}}\,\,{\rm{N}}$. The maximum tension that may be given to similar rope of diameter ${\rm{1}}\,\,{\rm{cm}}$ is

The upper end of a wire of radius ${\rm{4}}\,\,{\rm{mm}}$ and length ${\rm{100}}\,\,{\rm{cm}}$ is clamped and its other end is twisted through and angle of ${30^0}$. Then angle of shear is

What are the dimensions of stress?

Two wires, A and B, made of the same material, have the same length but different cross-sectional areas. Wire A has twice the cross-sectional area of wire B. If the same force is applied to both wires, which wire experiences greater longitudinal stress?

Which one of the following quantities does not have the unit of force per unit area

A $2\,\,m$ long rod of radius $1\,\,cm$ which is fixed from one end is given a twist of $0.8$ radians. The shear strain developed will be

Two wires of copper having the length in the ratio 4:1 and their radii ratio as 1:4 are stretched by the same force. The ratio of longitudinal strain in the two will be

A $20\,\,kg$ load is suspended by a wire of cross section $0.4\,\,m{m^2}$. The stress produced in $N/{m^2}$ is