Two steel wires of same length but radii $r$ and $2r$ are connected together end to end and tied to a wall as shown. The force stretches the combination by $10\ mm$. How far does the midpoint $A$ move ............ $mm$
  • A$2$
  • B$4$
  • C$6$
  • D$8$
Diffcult
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 compressibility of water is $6 \times 10^{-10} N ^{-1} m ^{2} .$ If one litre is subjected to a pressure of $4 \times 10^{7} Nm ^{-2}$ the decrease in its volume is (in $cc$)
    View Solution
  • 2
    The Young's modulus of a wire is $y$. If the energy per unit volume is $E$, then the strain will be
    View Solution
  • 3
    A structural steel rod has a radius of $10\,mm$ and length of $1.0\,m.$ A $100\,kN$ force stretches it along its length . Young's modulus of structural steel is $2 \times 10^{11}\,Nm^{-2}.$ The percentage strain is about .......  $\%$
    View Solution
  • 4
    The stress-strain curves are drawn for two different materials $X$ and $Y$. It is observed that the ultimate strength point and the fracture point are close to each other for material $X$ but are far apart for material $Y$. We can say that materials $X$ and $Y$ are likely to be (respectively)
    View Solution
  • 5
    A rigid bar of mass $15\ kg$ is supported symmetrically by three wire each of $2 m$ long. These at each end are of copper and middle one is of steel. Young's modulus of elasticity for copper and steel are $110 \times 10^9 N / m ^2$ and $190 \times 10^9 N / m ^2$ respectively. If each wire is to have same tension, ratio of their diameters will be $............$
    View Solution
  • 6
    Liquids have no Poisson's ratio, because
    View Solution
  • 7
    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
    View Solution
  • 8
    In which case there is maximum extension in the wire, if same force is applied on each wire
    View Solution
  • 9
    If Young's modulus for a material is zero, then the state of material should be
    View Solution
  • 10
    The ratio of the lengths of two wires $A$ and $B$ of same material is $1 : 2$ and the ratio of their diameter is $2 : 1.$ They are stretched by the same force, then the ratio of increase in length will be
    View Solution