To break a wire of one metre length, minimum $40\;kg\;wt$, is required. Then the wire of the same material of double radius and 6 m length will require breaking weight

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

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

Which of the following rods of same material undergoes maximum elongation when subjected to a given force?

Two wires $A$ and $B$ have. Young’s moduli in the ratio $1:2$ and ratio of length is $1:1$. Under the application of same stress the ratio of elongations is.

A steel rod with $y = 2.0 imes {10^{11}}N{m^{ - 2}}$ and $\alpha = {10^5}{C^{ - 1}}$ of length and area of cross-section $10\,c{m^2}$ is heated from ${0^0}C$ to ${400^0}C$ without being allowed to extend. The tension produced in the rod is $X imes {10^5}N$, where the value of $x$ is

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?

A force $F$ is required to break a wire of length $I$ and radius $r$. What force is required to break a wire, of the same material, having twice the length and six times the radius ?

Two wires made of the same material have the same volume. The first wire has cross-sectional area $A$ and length $L$. The second wire has cross-sectional area $2A$. If a force $F$ causes a change in length of $\Delta L$ in the first wire, what force will cause the same change in length in the second wire?

A wire can sustain the weight of $40\,kg$ before breaking. If the wire is cut into 4 equal parts, each part can sustain a weight of

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