Two wires A and B are of the same material. Their lengths are the ratio 1 : 2 and diameters are in the ratio 2 : 1. When stretched by forces F_A and F_B respectively, they get equal increases in their lengths. Then the ratio   F_{A /}  F_B should be;

According to Hooke's law of elasticity, if stress is increased, the ratio of stress to strain is :

A steel rod has a radius of 10 mm and a length of 1.0 m. A force stretches it along its length and produces a strain of 0.16%.If the  Young's modulus of the steel is 2.0 x 10¹¹ N m^-2. What is the magnitude of the force stretching the rod ?

An aluminium rod of Young's modulus 7.0 x 10⁹ N/m² has a breaking strain of 0.2%. The minimum cross-sectional area of the rod in m² in order to support a load of 10⁴ newton is :

In solids, the  interatomic forces are :

A body of weight mg is hanging on a string  which extends in length by l. The work done in extending the string is :

One end of a uniform wire of length L and weight W is attached rigidly to a point in roof and a weight W₁ is suspended from its lower end. If S is the area of corss-section of the wire, the stress in the wire at a height of 3L/4 from its lower end is :

Two wires are made of the same material and have the same volume. However wire 1 has cross- sectional area A and wire 2 has cross - sectional area 32 A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?

A wire of density 9 gm/cm³ is stretched and clamped between two clamps distant 100 cm apart by a force which produces an elongation of 0.05 cm in it. If Y = 9 x 10¹¹ dyne/cm² then the minimum frequency of transverse vibrations will be :

A wire  of  diameter 1 mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a  tension equal to: