Two wires each of radius $0.2\,cm$ and negligible mass, one made of steel and other made of brass are loaded as shown in the figure. The elongation of the steel wire is $.........\times 10^{-6}\,m$. [Young's modulus for steel $=2 \times 10^{11}\,Nm ^{-2}$ and $g =10\,ms ^{-2}$ ]
  • A$10$
  • B$5$
  • C$4$
  • D$20$
JEE MAIN 2023, 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
    In materials like aluminium and copper, the correct order of magnitude of various elastic modulii is 
    View Solution
  • 2
    A rectangular block of size $10\,cm \times 8\,cm \times 5\,cm$ is kept in three different positions $P, Q$ and $R$ in turn as shown in the figure. In each case, the shaded area is rigidly fixed and a definite force $F$ is applied tangentially to the opposite face to deform the block. The displacement of the upper face will be
    View Solution
  • 3
    Given below are two statements: one is labelled as Assertion$(A)$ and the other is labelled as Reason $(R).$

    $Assertion$ $(A)$ : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.

    $Reason$ $(R)$ : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.

    In the light of the above statements, choose the correct answer from the options given below :

    View Solution
  • 4
    When a force is applied on a wire of uniform cross-sectional area $3 \times {10^{ - 6}}\,{m^2}$ and length $4m$, the increase in length is $1\, mm.$ Energy stored in it will be $(Y = 2 \times {10^{11}}\,N/{m^2})$
    View Solution
  • 5
    A uniform wire (Young's modulus $2 \times 10^{11}\, Nm^{-2}$ ) is subjected to longitudinal tensile stress of $5 \times 10^7\,Nm^{-2}$ . If the over all volume change in the wire is $0.02\%,$ the fractional decrease in the radius of the wire is close to
    View Solution
  • 6
    A wire of cross sectional area $A$, modulus of elasticity $2 \times 10^{11} \mathrm{Nm}^{-2}$ and length $2 \mathrm{~m}$ is stretched between two vertical rigid supports. When a mass of $2 \mathrm{~kg}$ is suspended at the middle it sags lower from its original position making angle $\theta=\frac{1}{100}$ radian on the points of support. The value of $A$ is. . . . . .  $\times 10^{-4} \mathrm{~m}^2$ (consider $\mathrm{x}<\mathrm{L}$ ).

    (given: $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

    View Solution
  • 7
    Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are $Y_{1}$ and $Y_{2}$. The combination behaves as a single wire then its Young's modulus is:
    View Solution
  • 8
    An iron rod of length $2m$ and cross section area of $50\,m{m^2}$, stretched by $0.5\, mm$, when a mass of $250\, kg$ is hung from its lower end. Young's modulus of the iron rod is
    View Solution
  • 9
    A rod is fixed between two points at $20°C$. The coefficient of linear expansion of material of rod is $1.1 \times {10^{ - 5}}/^\circ C$ and Young's modulus is $1.2 \times {10^{11}}\,N/m$. Find the stress developed in the rod if temperature of rod becomes $10°C$
    View Solution
  • 10
    $A$ and $B$ are two wires. The radius of $A$ is twice that of $B.$ They are stretched by the some load. Then the stress on $B$ is
    View Solution