Which of the following statements is correct
Hooke's law is applicable only within elastic limit
The adiabatic and isothermal elastic constants of a gas are equal
Young's modulus is dimensionless
Stress multiplied by strain is equal to the stored energy
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
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?