Four identical rods are stretched by same force. Maximum extension is produced in
Medium
Download our app for free and get started
(b) $l = \frac{{FL}}{{\pi {r^2}Y}}$ $l \propto \frac{L}{{{r^2}}}$
Ratio of $\frac{L}{{{r^2}}}$ is maximum for wire in option $(b).$
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 work per unit volume to stretch the length by $1\%$ of a wire with cross sectional area of $1\,m{m^2}$ will be. $[Y = 9 \times {10^{11}}\,N/{m^2}]$View Solution
- 2View SolutionStress to strain ratio is equivalent to
- 3The upper end of a wire $1\,m$ long and $4\,mm$ radius is clamped. The lower end is twisted by an angle of $30^o$. The angle of shear is ...... $^o$View Solution
- 4Two rods of different materials having coefficients of linear expansion ${\alpha _1},\,{\alpha _2}$ and Young's moduli ${Y_1}$ and ${Y_2}$ respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If ${\alpha _1}:{\alpha _2} = 2:3$, the thermal stresses developed in the two rods are equally provided ${Y_1}:{Y_2}$ is equal toView Solution
- 5The value of force constant between the applied elastic force $F$ and displacement will beView Solution
- 6The Young's modulus of a wire is $Y.$ If the energy per unit volume is $E$, then the strain will beView Solution
- 7A steel rod has a radius of $20\,mm$ and a length of $2.0\,m$. A force of $62.8\,kN$ stretches it along its length. Young's modulus of steel is $2.0 \times 10^{11}\,N / m ^2$. The longitudinal strain produced in the wire is $..........\times 10^{-5}$View Solution
- 8The normal density of a material is $\rho$ and its bulk modulus of elasticity is $K$. The magnitude of increase in density of material, when a pressure $P$ is applied uniformly on all sides, will beView Solution
- 9A rubber cord catapult has cross-sectional area $25\,m{m^2}$ and initial length of rubber cord is $10\,cm.$ It is stretched to $5\,cm.$ and then released to project a missile of mass $5gm.$ Taking ${Y_{rubber}} = 5 \times {10^8}N/{m^2}$ velocity of projected missile is ......... $ms^{-1}$View Solution
- 10View SolutionThe shear strain is possible in .............