The units of Young ‘s modulus of elasticity are
$N{m^{ - 1}}$
$N-m$
$N{m^{ - 2}}$
$N{\rm{ - }}{m^2}$
An elastic material of Young's modulus $Y$ is subjected to a stress $S$. The elastic energy stored per unit volume of the material is
Young's modulus of rubber is ${10^4}\,N/{m^2}$ and area of cross-section is $2\,c{m^2}$. If force of $2 \times {10^5}$ dynes is applied along its length, then its initial length $l$ becomes
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 |
An equilateral triangle $ABC$ is formed by two copper rods $AB$ and $BC$ and one is aluminium rod which heated in such a way that temperature of each rod increases by $\Delta T$. Find change in the angle $\angle {ABC}$. (Coefficient of linear expansion for copper is $\alpha _1$ and for aluminium is $\alpha _2$).
The length of wire becomes $l_1$ and $l_2$ when $100\,N$ and $120\,N$ tensions are applied respectively. If $10l_2=11l_1$, the natural length of wire will be $\frac{1}{x} l_1$. Here the value of $x$ is ........