Which of the following statements is correct

  • A

    Hooke's law is applicable only within elastic limit

  • B

    The adiabatic and isothermal elastic constants of a gas are equal

  • C

    Young's modulus is dimensionless

  • D

    Stress multiplied by strain is equal to the stored energy

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Two identical solid balls, one of ivory and the other of wet-clay are dropped from the same height on the floor. Which one will rise to a greater height after striking the floor and why ?

On increasing the length by $0.5\, mm$ in a steel wire of length $2\, m$ and area of cross-section $2\,m{m^2}$, the force required is $[Y$ for steel$ = 2.2 \times {10^{11}}\,N/{m^2}]$

Column$-II$ is related to Column$-I$. Join them appropriately :

Column $-I$  Column $-II$ 
$(a)$ When temperature raised Young’s modulus of body $(i)$ Zero
$(b)$ Young’s modulus for air $(ii)$ Infinite
  $(iii)$ Decreases
  $(iv)$Increases

A $0.1 \mathrm{~kg}$ mass is suspended from a wire of negligible mass. The length of the wire is $1 \mathrm{~m}$ and its crosssectional area is $4.9 \times 10^{-7} \mathrm{~m}^2$. If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency $140 \ \mathrm{rad} \mathrm{s}^{-1}$. If the Young's modulus of the material of the wire is $\mathrm{n} \times 10^9 \mathrm{Nm}^{-2}$, the value of $\mathrm{n}$ is

  • [IIT 2010]

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?