Two wires of the same material and length but different cross-sectional areas A1 and A2 (A1 > A2) are subjected to the same tensile force. Which wire will experience a greater elongation?

If work done in stretching a wire by $1\,\,mm$ is $2{\rm{ }}J$, the work necessary for stretching another wire of same material, but wire double the radius and half length $1\,\,mm$ joule is

Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area $A$ and the second wire has a cross-sectional area $3A$. If the length of the first wire is increased by $\Delta L$ on applying a force $F$, how much force is needed to stretch the second wire by the same amount?

One end of steel wire is fixed to ceiling of an elevator moving up with an acceleration ${\rm{2}}\,\,{\rm{m}}{{\rm{s}}^{ - 2}}$ and a load of ${\rm{10}}$ kg hangs from other end. Area of cross-section of the wire is $2\,\,{\rm{c}}{{\rm{m}}^2}$. The longitudinal strain in the wire is (Take g$= 10\,\,{\rm{m}}{{\rm{s}}^{ - 2}}\,\,{\rm{and}}\,{\rm{ Y}} = 2\,\, imes {10^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}})$

Two springs made of the same material have the same volume. The first spring has cross-sectional area $A$ and the second spring has cross-sectional area $5A$. If a force $F$ stretches the first spring by $x$, what force is required to stretch the second spring by the same amount?

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 of cross-sectional area $A$ is stretched horizontally between two clamps loaded at a distance $2\,l$ metres from each other. A weight $w\,\,kg$ suspended from the mid point of the wire. The strain produced in the wire, (if the vertical distance through which the mid point of the wire moves down x < l) will be

A wire of length $L$ and radius a rigidly fixed at one end. On stretching the other end of the wire with a force $F$, the increase in its length is $l$. If another wire of same material but of length 2L and radius $2a$ is stretched with a force $2F$, the increase in its length will be

The elastic limit of brass is $379MPa$. What should be the minimum diameter of a brass rod, if it is to support a $400N$ load without exceeding its elastic limit

The length of a metal wire is $10\,cm$ when the tension in it is $20N$ and $12cm$. When the tension is $40N$. The natural length of the wire in $cm$ is

A steel wire of length 1 m is stretched until it reaches its elastic limit of $8 imes 10^8 \, N m^{-2}$. If the Young's modulus of steel is $2 imes 10^{11} \, N m^{-2}$, what is the strain experienced by the wire?