Two wires $A$ and $B$ of same length, same area of cross-section having the same Young's modulus are heated to the same range of temperature. If the coefficient of linear expansion of $A$ is $3/2$ times of that of wire $B$. The ratio of the forces produced in two wires will be
  • A$2/3$
  • B$9/4$
  • C$4/9$
  • D$3/2$
Easy
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
    To determine Young's modulus of a wire, the formula is $Y = \frac{F}{A}.\frac{L}{{\Delta L}}$ where $F/A$ is the stress and $L/\Delta L$ is the strain. The conversion factor to change $Y$ from $CGS$ to $MKS$ system is
    View Solution
  • 2
    A steel wire of length $3.2 m \left( Y _{ S }=2.0 \times 10^{11}\,Nm ^{-2}\right)$ and a copper wire of length $4.4\,M$ $\left( Y _{ C }=1.1 \times 10^{11}\,Nm ^{-2}\right)$, both of radius $1.4\,mm$ are connected end to end. When stretched by a load, the net elongation is found to be $1.4\,mm$. The load applied, in Newton, will be. (Given $\pi=\frac{22}{7}$)
    View Solution
  • 3
    A $5$ metre long wire is fixed to the ceiling. A weight of $10\, kg$ is hung at the lower end and is $1$ metre above the floor. The wire was elongated by $1\, mm$. The energy stored in the wire due to stretching is ......... $ joule$
    View Solution
  • 4
    $Assertion :$ Hollow shaft is found to be stronger than a solid shaft made of same equal material.
    $Reason :$ Torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same length and material.
    View Solution
  • 5
    For a constant hydraulic stress on an object, the fractional change in the object's volume $\left( {\frac{{\Delta V}}{V}} \right)$ and its bulk modulus $(B)$ are related as
    View Solution
  • 6
    The force constant of a wire does not depend on
    View Solution
  • 7
    A sample of a liquid has an initial volume of $1.5\,L$ . The volume is reduced by $0.2\,mL$ , when the pressure increases by $140\,kP$ . What is the bulk modulus of the liquid
    View Solution
  • 8
    In a series combination of copper and steel wires of same length and same diameter, a force is applied at one of their ends while the other end is kept fixed. The combined length is increased by $2\, cm$. The wires will have ..........
    View Solution
  • 9
    The breaking stress of wire going over a smooth pully is $2 \times 10^9\, N/m^2$. What would be the minimum radius of wire used if it is not to break?
    View Solution
  • 10
    Join the relation of physical quantities in Column$-I$ to the details given in Column$-II$ appropriately :
    Column $-I$  Column $-II$ 
    $(a)$ Stress $\propto $ Strain $(i)$ $M^1\,L^{-1}\,T^{-2}$
    $(b)$ Dimensional formula for compressibility  $(ii)$ $M^{-1}\,L^{1}\,T^{-2}$
      $(iii)$ Poisson’s ratio
      $(iv)$ Hooke’s law
    View Solution