If one end of a wire is fixed with a rigid support and the other end is stretched by a force of $10 \,N,$ then the increase in length is $0.5\, mm$. The ratio of the energy of the wire and the work done in displacing it through $1.5\, mm$ by the weight is
  • A$\frac{1}{3}$
  • B$\frac{1}{4}$
  • C$\frac{1}{2}$
  • D$1$
Medium
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
    An increases in pressure required to decreases the $200$ litres volume of a liquid by $0.004\%$ in container is .......... $kPa$ (Bulk modulus of the liquid $= 2100\, MPa$)
    View Solution
  • 2
    The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of $30°$ from its surface. The change will be of the type
    View Solution
  • 3
    A rod of length $l$ and area of cross-section $A$ is heated from $0°C$ to $100°C$. The rod is so placed that it is not allowed to increase in length, then the force developed is proportional to
    View Solution
  • 4
    A rubber cord $10\, m$ long is suspended vertically. How much does it stretch under its own weight $($Density of rubber is $1500\, kg/m^3, Y = 5×10^8 N/m^2, g = 10 m/s^2$$)$
    View Solution
  • 5
    If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are $p, q$ and $s$ respectively, then the corresponding ratio of increase in their lengths would be
    View Solution
  • 6
    A wire of cross section $4 \;mm^2$ is stretched by $0.1\, mm$ by a certain weight. How far (length) will be wire of same material and length but of area $8 \;mm^2$ stretch under the action of same force......... $mm$
    View Solution
  • 7
    A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by $1\, cm$. The two wires will have
    View Solution
  • 8
    The following four wires are made of same material. Which one will have the largest elongation when subjected to the same tension ?
    View Solution
  • 9
    A 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 become
    View Solution
  • 10
    The value of force constant between the applied elastic force $F$ and displacement will be
    View Solution