A 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 is ........ $J$
AIEEE 2003, Easy
Download our app for free and get startedPlay store
(a) $U = \frac{1}{2} \times F \times l = \frac{1}{2} \times 200 \times {10^{ - 3}} = 0.1\;J$
art

Download our app
and 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

  • 1
    Longitudinal stress of $1\,kg/m{m^2}$ is applied on a wire. The percentage increase in length is $(Y = {10^{11}}\,N/{m^2})$
    View Solution
  • 2
    Two wire $A$ and $B$ are stretched by same force. If, for $A$ and $B, Y_A: Y_B=1: 2, r_A: r_B=3: 1$ and $L_A: L_B=4: 1$, then ratio of their extension $\left(\frac{\Delta L_A}{\Delta L_B}\right)$ will be .............
    View Solution
  • 3
    A horizontal steel railroad track has a length of $100 \,m$, when the temperature is $25^{\circ} C$. The track is constrained from expanding or bending. The stress on the track on a hot summer day, when the temperature is $40^{\circ} C$ is ............. $\times 10^7\,Pa$ (Note : The linear coefficient of thermal expansion for steel is $1.1 \times 10^{-5} /{ }^{\circ} C$ and the Young's modulus of steel is $2 \times 10^{11} \,Pa$ )
    View Solution
  • 4
    If the length of a wire is reduced to half, then it can hold the ......... load
    View Solution
  • 5
    If a spring extends by $x$ on loading, then the energy stored by the spring is (if $T$ is tension in the spring and $k$ is spring constant)
    View Solution
  • 6
    The pressure of a medium is changed from $1.01 × 10^5$ $Pa$ to $1.165 × 10^5$ $Pa$ and change in volume is $10\% $ keeping temperature constant. The Bulk modulus of the medium is
    View Solution
  • 7
    Two identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be
    View Solution
  • 8
    The force required to stretch a wire of crosssection $1 cm ^{2}$ to double its length will be ........ $ \times 10^{7}\,N$

    (Given Yong's modulus of the wire $=2 \times 10^{11}\,N / m ^{2}$ )

    View Solution
  • 9
    Which of the following statements is correct
    View Solution
  • 10
    A spherical ball contracts in volume by $0.02 \%$, when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is ............. $Nm ^{-2}$
    View Solution