A steel wire of length L at 40°C is suspended from the ceiling and carries a mass m from its free end. The wire is cooled from 40°C to 30°C to regain its original length L. The coefficient of linear expansion is 10⁻⁵/°C, Young’s modulus of steel is 10¹¹ N m⁻², and the radius of the wire is 1 mm. The value of m in kg is nearly


The Young's modulus of a steel wire of length \(6 m\) and cross-sectional area \(3 \,mm ^2\), is \(2 \times 10^{11}\) \(N / m ^2\). The wire is suspended from its support on a given planet A block of mass \(4 kg\) is attached to the free end of the wire. The acceleration due to gravity on the planet is \(\frac{1}{4}\) of its value on the earth The elongation of wire is (Take \(g\) on the earth \(=10\, m / s ^2\)) :