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

If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are $p, q$ and $s$ respectively, then the corresponding ratio of increase in their lengths would be

The stress verses strain graph of four metals A,B,C and D are as shown. Which of the graph represent the metal having greatest Young's modulus?

If the ratio of lengths, radii and Young's Moduli of steel and brass wires in the figure are $\mathrm{a}, \mathrm{b}$ and $\mathrm{c}$ respectively, then the corresponding ratio of increase in their lengths would be

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area $A$ and the second wire has cross-sectional area $3A.$ If the length of the first wire is increased by…

The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross-section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires…

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.…

The ratios of lengths, areas of cross-section and Young's modulii of steel to that of brass wires shown in the figure are $a, b$ and $c$ respectively. The ratio of increase in the lengths of brass to that of steel wires…

As shown in the figure, a light uniform rod PQ of length 150 cm is suspended from the ceiling horizontally using two metal wires $A$ and $B$ tied to the ends of the rod. The ratios of the radii and the Young's moduli of…

Two wires of equal length and equal cross sectional areas are suspended as shown in the figure. Their Young's modulii are \(Y_1\) and \(Y_2\), respectively. The equivalent Young's modulus is

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b$ and $c$ respectively, the ratio between the increase in lengths of brass and steel wires would be