A rubber pipe of density $1.5 \times {10^3}\,N/{m^2}$ and Young's modulus $5 \times {10^6}\,N/{m^2}$ is suspended from the roof. The length of the pipe is $8 \,m$. What will be the change in length due to its own weight
Medium
Download our app for free and get startedPlay store
(d) $l = \frac{{{L^2}dg}}{{2Y}}$$ = \frac{{{{(8)}^2} \times 1.5 \times {{10}^3} \times 10}}{{2 \times 5 \times {{10}^6}}} = 9.6 \times {10^{ - 2}}m$
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
    The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume $?$ The volume elasticity of the cube is $\beta $ and the coefficient of volume expansion is $\alpha $
    View Solution
  • 2
    The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume $?$ The volume elasticity of the cube is $\beta $ and the coefficient of volume expansion is $\alpha $
    View Solution
  • 3
    The bulk moduli of ethanol, mercury and water are given as $0.9, 25$ and $2 .2$ respectively in units of $10^9\, Nm^{-2}$ . For a given value of pressure, the fractional compression in volume is $\frac{{\Delta V}}{V}$. Which of the following statements about $\frac{{\Delta V}}{V}$ for these three liquids is correct ?
    View Solution
  • 4
    In the below graph, point $B$ indicates
    View Solution
  • 5
    When compared with solids and liquids, the gases have
    View Solution
  • 6
    The Young's modulus of the material of a wire is $6 \times {10^{12}}\,N/{m^2}$ and there is no transverse strain in it, then its modulus of rigidity will be
    View Solution
  • 7
    A stress of $1.5\,kg.wt/mm^2$ is applied to a wire of Young's modulus $5 \times 10^{11}\,N/m^2$ . The percentage increase in its length is
    View Solution
  • 8
    The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
    View Solution
  • 9
    In steel, the Young's modulus and the strain at the breaking point are $2 \times {10^{11}}\,N{m^{ - 2}}$ and $0.15$ respectively. The stress at the breaking point for steel is therefore
    View Solution
  • 10
    With rise in temperature, the Young's modulus of elasticity
    View Solution