Steel and copper wires of same length are stretched by the same weight one after the other. Young's modulus of steel and copper are $2 \times {10^{11}}\,N/{m^2}$ and $1.2 \times {10^{11}}\,N/{m^2}$. The ratio of increase in length
Medium
Download our app for free and get startedPlay store
(b)$l = \frac{{FL}}{{AY}} \Rightarrow \frac{{{l_S}}}{{{l_{cu}}}} = \frac{{{Y_{cu}}}}{{{Y_S}}}$($F,L$ and $Y$ are constant)

 $\frac{{{l_s}}}{{{l_{cu}}}} = \frac{{1.2 \times {{10}^{11}}}}{{2 \times {{10}^{11}}}} = \frac{3}{5}$

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
    Which one of the following quantities does not have the unit of force per unit area
    View Solution
  • 2
    A boy’s catapult is made of rubber cord which is $42\, cm$ long, with $6\, mm$ diameter of cross -section and of negligible mass. The boy keeps a stone weighing $0.02\, kg$ on it and stretches the cord by $20\, cm$ by applying a constant force. When released, the stone flies off with a velocity of $20\, ms^{-1}$. Neglect the change in the area of cross section of the cord while stretched. The Young’s modulus of rubber is closest to
    View Solution
  • 3
    A wire can be broken by applying a load of $200\, N$. The force required to break another wire of the same length and same material, but double in diameter, is .......... $N$
    View Solution
  • 4
    The correct increasing order for modulus of elasticity for copper, steel, glass and rubber is
    View Solution
  • 5
    Liquids have no Poisson's ratio, because
    View Solution
  • 6
    A uniform rod of mass $m$, length $L$, area of cross-section $A$ and Young's modulus $Y$ hangs from the ceiling. Its elongation under its own weight will be
    View Solution
  • 7
    Density of rubber is $​d$​. $​ A$​ thick rubber cord of length $​L$​ and cross-section area $​A$​ undergoes elongation under its own weight on suspending it. This elongation is proportional to
    View Solution
  • 8
    Two wires are made of the same material and have the same volume. The first wire has cross-sectional area $A$ and the second wire has cross-sectional area $3A$. If the length of the first wire is increased by $\Delta l$ on applying a force $F$, how much force is needed to stretch the second wire by the same amount?
    View Solution
  • 9
    When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be ........ $cm$
    View Solution
  • 10
    The proportional limit of steel is $8 \times 10^8 \,N / m ^2$ and its Young's modulus is $2 \times 10^{11} \,N / m ^2$. The maximum elongation, a one metre long steel wire can be given without exceeding the elastic limit is ...... $mm$
    View Solution