Mechanical Properties of Solids

An iron rod of length $2 \mathrm{~m}$ and cross-sectional area of $50 \mathrm{~mm}^{2}$ stretched by $0.5 \mathrm{~mm}$, when a mass of $250 \mathrm{~kg}$ is hung from its lower end. Young's modulus of iron rod is

The Young's modulus of a perfectly rigid body is

The strain stress curves of three wires of different materials are shown in the figure. $P$, $Q$ and $R$ are the elastic limits of the wires. The figure shows that

The stress that has to be applied to the ends of a steel wire of length 20 cm to keep its length constant, when its temperature is raised by $100^{\circ} \mathrm{C}$ is $2.2 \times 10^x \mathrm{~Pa}$. The value of $x$…

The stress versus strain graphs for wires of two materials $A$ and $B$ are as shown in the figure. If $Y_A$ and $Y_B$ are the Young's modulii of the materials, then

Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio $1: 2$ and diameters are in the ratio $2: 1$. When stretched by force $F_A$ and $F_B$, respectively, they get equal increase in their lengths.…

Two wires of lengths $l$ and $2 l$, radii $r$ and $2 r$ respectively having same Young's modulus are hung with a weight $m g$. Net elongation is

A steel ring of radius $r$ and cross-sectional area $A$ is fitted on to a wooden disc of radius $R(R \gt r)$. If Young's modulus be $Y$, then the force with which the steel ring is expanded, is

The Bulk Modulus for an incompressible liquid is

Temperature of a gas is $20^{\circ} \mathrm{C}$ and pressure is changed from $1.01 \times 10^5 \mathrm{~Pa}$ to $1.165 \times 10^5 \mathrm{~Pa}$. If volume is decreased isothermally by $10 \%$. Bulk modulus of gas is

Which of the following materials is non-crystalline?

Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is $1: 4$, then the ratio of their diameters is found to be $\sqrt{k}: 1$. Find…