A fixed volume of iron is drawn into a wire of length $L$. The extension $x$ produced in this wire by a constant force $F$ is proportional to

A force of ${10^3}\,\,newton$ stretches the length of a hanging wire by $1\,\,millimetre$. The force required to stretch a wire of same material and length but having four times the diameter by $1\,\,millimetre$ is

Two steel wires have equal volumes, their diameters are in the ratio $2:1$. When same force is applied on them, the elongation produced will be in the ratio of

A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

A steel wire has length $2\,\,m$, radius $1{\rm{ }}mm$ and $Y = 2 imes {10^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}}$. A $1$ kg sphere is attached to one end of the wire and whirled in a vertical circle with an angular velocity of $2$ revolutions per second. When the sphere is at the lowest point of the vertical circle, the elongation of the wire is nearly (Take g = $10\,\,{\rm{m}}{{\rm{s}}^{ - 2}})$

Which of the following properties is most crucial for determining the stretching of a spring?

The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum ?

A wire of length L and cross-sectional area A is stretched by a force F. If Young's modulus of the material of the wire is Y, the elongation produced in the wire is:

A wire of length $L$ and cross-sectional area $A$ is subjected to a tensile stress $\sigma$. If the Poisson's ratio of the material is $

u$and Young's modulus is$Y$, the elastic potential energy stored per unit volume is:

An elastic material of Young’s modulus $Y$ is subjected to a stress $S$. The elastic energy stored per unit volume of the material is

A wire is stretched to double its length. What will be its new Young's Modulus?