A wire of length $50\, cm$ and cross sectional area of $1$ sq. mm is extended by $1\, mm.$ The required work will be $(Y = 2 \times {10^{10}}\,N{m^{ - 2}})$
Medium
Download our app for free and get started
(c) $W = \frac{{YA{l^2}}}{{2L}} = \frac{{2 \times {{10}^{10}} \times {{10}^{ - 6}} \times {{({{10}^{ - 3}})}^2}}}{{2 \times 50 \times {{10}^{ - 2}}}}$$ = 2 \times {10^{ - 2}}\;J$
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 diagram shows a force-extension graph for a rubber band. Consider the following statementsView Solution
$I.$ It will be easier to compress this rubber than expand it
$II.$ Rubber does not return to its original length after it is stretched
$III.$ The rubber band will get heated if it is stretched and released
Which of these can be deduced from the graph
- 2View SolutionWhich of the following affects the elasticity of a substance
- 3View SolutionThe elastic limit for a gas
- 4View SolutionThe following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
- 5A cylindrical wire of radius $1\,\, mm$, length $1 m$, Young’s modulus $= 2 × 10^{11} N/m^2$, poisson’s ratio $\mu = \pi /10$ is stretched by a force of $100 N$. Its radius will becomeView Solution
- 6Stress required in a wire to produce $0.1\%$ strain is $4 \times10^8\, N/m^2$. Its yound modulus is $Y_1$. If stress required in other wire to produce $0.3\%$ strain is $6 \times 10^8\, N/m^2$. Its young modulus is $Y_2$. Which relation is correctView Solution
- 7A wire $2 \,m$ in length suspended vertically stretches by $10 \,mm$ when mass of $10 \,kg$ is attached to the lower end. The elastic potential energy gain by the wire is ...... $J$ (take $g=10 \,m / s ^2$ )View Solution
- 8A meter scale of mass $m$ , Young modulus $Y$ and cross section area $A$ is hanged vertically from ceiling at zero mark. Then separation between $30\ cm$ and $70\ cm$ mark will be :-( $\frac{{mg}}{{AY}}$ is dimensionless)View Solution
- 9A steel wire of diameter $0.5 mm$ and Young's modulus $2 \times 10^{11} N m ^{-2}$ carries a load of mass $M$. The length of the wire with the load is $1.0 m$. A vernier scale with $10$ divisions is attached to the end of this wire. Next to the steel wire is a reference wire to which a main scale, of least count $1.0 mm$, is attached. The $10$ divisions of the vernier scale correspond to $9$ divisions of the main scale. Initially, the zero of vernier scale coincides with the zero of main scale. If the load on the steel wire is increased by $1.2 kg$, the vernier scale division which coincides with a main scale division is. . . . Take $g =10 m s ^{-2}$ and $\pi=3.2$.View Solution
- 10A suspended long metal wire is stretched a small distance $x$ by a load $W$ in newton suspended at the other end. Select the best answer out of the followingView Solution