A rod is fixed between two points at $20°C$. The coefficient of linear expansion of material of rod is $1.1 \times {10^{ – 5}}/^\circ C$ and Young's modulus is $1.2 \times {10^{11}}\,N/m$. Find the stress developed in the rod if temperature of rod becomes $10°C$

In the given figure, if the dimensions of the two wires are same but materials are different, then Young's modulus is ……..

Figure shows graph between stress and strain for a uniform wire at two different femperatures. Then

A string of area of cross-section $4\,mm ^{2}$ and length $0.5$ is connected with a rigid body of mass $2\,kg$. The body is rotated in a vertical circular path of radius $0.5\,m$. The body acquires a speed of $5\,m / s$ at the bottom of the circular path. Strain produced in the string when the body is at the bottom of the circle is $\ldots . . \times 10^{-5}$. (Use Young's modulus $10^{11}\,N / m ^{2}$ and $g =10\,m / s ^{2}$ )

When a certain weight is suspended from a long uniform wire, its length increases by one  $cm$. If the same weight is suspended from another wire of the same material and length  but having a diameter half of the first one, the increase in length will be ……… $cm$