What are the dimensions of stress?

A steel cable with a cross-sectional area of $5 imes 10^{-5} m^2$ is used to lift a load of 500 kg. What is the longitudinal stress in the cable?

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

A cube is subjected to a uniform volume compression. If the side of the cube decreases by ${\rm{1}}\,\,{\rm{\% }}$ the bulk strain is

According to Hooke’s law of elasticity, if stress is increased, them the ratio of stress to strain

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

A load suspended by a massless spring produces an extension of $x\,\,cm$ in equilibrium. When it is cut into two unequal parts, the same load produces an extension of $7.5\,\,cm$ when suspended by the larger part of length 60 cm. When it is suspended by the smaller part, the extension is 5.0 cm Then

Dimensions of stress are

A rope of $1\,cm$ in diameter breaks if tension in it exceeds 600N. The maximum tension that may be given to a smaller rope of a diameter 2cm is in [N].

$A$ 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 $2\,\,m$ 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