On applying a stress of $20 \times {10^8}N/{m^2}$ the length of a perfectly elastic wire is doubled. Its Young’s modulus will be
Medium
Download our app for free and get started
(b) Young’s modules =$\frac{{{\rm{stress}}}}{{{\rm{strain}}}}$
As the length of wire get doubled therefore strain $= 1$
$Y =$ strain $= 20 \times 10^8 N/ m^2$
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 elastic potential energy stored in a steel wire of length $20\,m$ stretched through $2 \,m$ is $80\,J$. The cross sectional area of the wire is $.........\,mm ^2$ (Given, $y =2.0 \times 10^{11}\,Nm ^{-2}$ )View Solution
- 2Work done by restoring force in a string within elastic limit is $-10 \,J$. Maximum amount of heat produced in the string is .......... $J$View Solution
- 3A metallic rod of length $I$ and cross-sectional area $A$ is made of a material of Young's modulus $Y$. If the rod is elongated by an amount $y$, then the work done is proportional to ......View Solution
- 4The upper end of a wire of radius $4\, mm$ and length $100\, cm$ is clamped and its other end is twisted through an angle of $30°$. Then angle of shear is ..... $^o$View Solution
- 5A brass rod of cross-sectional area $1\,c{m^2}$ and length $0.2\, m$ is compressed lengthwise by a weight of $5\, kg$. If Young's modulus of elasticity of brass is $1 \times {10^{11}}\,N/{m^2}$ and $g = 10\,m/{\sec ^2}$, then increase in the energy of the rod will beView Solution
- 6View SolutionThe work done in stretching an elastic wire per unit volume is
- 7View SolutionA light rod acted upon by three forces, is in equilibrium. Which of the following diagram shows the possible position and direction of the forces?
- 8View SolutionTwo identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be
- 9Wires $A$ and $B$ are made from the same material. $A$ has twice the diameter and three times the length of $B.$ If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in $A$ to that in $B$ isView Solution
- 10A wire suspended vertically from one of its ends is stretched by attaching a weight of $200\ N$ to the lower end. The weight stretches the wire by $1\ mm$. Then the elastic energy stored in the wire ......... $J$View Solution