Mechanical properties of solids practice · Easy

The ratio of radii of two wires of same material is 1:3. Then the ratio of their elongations on applying the same load is

Young's modulus of the material of a wire of length $L$ and radius $r$ is $Y \mathrm{Nm}^{-2}$. If the length is reduced to $\frac{L}{2}$ and radius to $\frac{r}{2}$, the Young's modulus will be

On all the six surfaces of a unit cube, equal tensile force of $F$ is applied. The increase in length of each side will be $(Y =$ Young’s modulus, $\sigma =$ Poisson’s ratio)

Rubber is an example of

When a force is applied at one end of an elastic wire, it produces a strain $E$ in the wire. If $Y$ is the Young's modulus of the material of the wire, the amount of energy stored per unit volume of the wire is given by

The value of modulus of rigidity for ideal liquid is

A long piece of rubber is wider than it is thick. When is is stretched in length by some amount:

According to Hooke’s law of elasticity, if stress is increased, them the ratio of stress to strain

The Young's modulus of a wire is numerically equal to the stress which will

A steel wire is $1 \mathrm{~m}$ long and $1 \mathrm{~mm}^2$ in area of crosssection. If it takes $200 \mathrm{~N}$ to stretch this wire by $1 \mathrm{~mm}$, how much force will be required to stretch a wire of the same material as well diameter from its normal length of $10 \mathrm{~m}$ to a length of $1002 \mathrm{~cm}$ ?

Two forces $F_1$ and $F_2$ are applied on two rods $P$ and $Q$ of same materials such that elongation in rods are same. If ratio of their radii is $x$ : $y$ and ratio of length is $m: n$, then ratio of $F_1: F_2$ is

If to break a wire of $1 \mathrm{~m}$ length, minimum $40 \mathrm{~kg}$-wt is required, then to break a wire of same material $6 \mathrm{~m}$ in length and double in radius, the breaking weight required will be

A wire of length '$2 \mathrm{~m}$' is clamped horizontally between two fixed support. A mass $\mathrm{m}=5 \mathrm{~kg}$ is hanged from middle of wire. The vertical and depression in wire (in $\mathrm{cm}$) in equilibrium is (Young modulus of wire $=2.4 \times 10^9 \mathrm{~N} / \mathrm{m}^2$, cross-sectional area $=1 \mathrm{~cm}^2$)