The work per unit volume to stretch the length by $1\%$ of a wire with cross sectional area of $1\,m{m^2}$ will be. $[Y = 9 \times {10^{11}}\,N/{m^2}]$
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The stress versus strain graphs for wires of two materials $A$ and $B$ are as shown in the figure. If ${Y_A}$ and ${Y_B}$ are the Young ‘s modulii of the materials, thenView Solution
- 2A wire is stretched by $0.01$ $m$ by a certain force $F.$ Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will beView Solution
- 3The force required to stretch a wire of crosssection $1 cm ^{2}$ to double its length will be ........ $ \times 10^{7}\,N$View Solution
(Given Yong's modulus of the wire $=2 \times 10^{11}\,N / m ^{2}$ )
- 4Two metallic wires $P$ and $Q$ have same volume and are made up of same material. If their area of cross sections are in the ratio $4: 1$ and force $F_1$ is applied to $\mathrm{P}$, an extension of $\Delta l$ is produced. The force which is required to produce same extension in $Q$ is $\mathrm{F}_2$.The value of $\frac{\mathrm{F}_1}{\mathrm{~F}_2}$ is__________.View Solution
- 5Let a wire be suspended from the ceiling (rigid support) and stretched by a weight $W$ attached at its free end. The longitudinal stress at any point of cross-sectional area $A$ of the wire is :View Solution
- 6Join the relation of physical quantities in Column$-I$ to the details given in Column$-II$ appropriately :View Solution
Column $-I$ Column $-II$ $(a)$ Stress $\propto $ Strain $(i)$ $M^1\,L^{-1}\,T^{-2}$ $(b)$ Dimensional formula for compressibility $(ii)$ $M^{-1}\,L^{1}\,T^{-2}$ $(iii)$ Poisson’s ratio $(iv)$ Hooke’s law - 7The ratio of radii of two wires of same material is $2: 1$. If these wires are stretched by equal force, the ratio of stresses produced in them is .............View Solution
- 8View SolutionShear modulus is zero for
- 9In the given figure, if the dimensions of the two wires are same but materials are different, then Young's modulus is $ ........$View Solution
- 10A $100\,m$ long wire having cross-sectional area $6.25 \times 10^{-4}\,m ^2$ and Young's modulus is $10^{10}\,Nm ^{-2}$ is subjected to a load of $250\,N$, then the elongation in the wire will be :View Solution