Chittaranjan Dasgupta and Asok Kumar Das Solutions for Chapter: Elasticity, Exercise 1: EXERCISE

Write copper, steel, glass and rubber in order of increasing coefficient of elasticity

Bulk modulus of an incompressible liquid is

The load versus elongation graph for four wires of the same material is shown in Fig. The thinnest wire is represented by the line.

Assertion (A): Ductile metals are used to prepare thin wires.

Reason (R) : Jn the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.

A wire of initial length $L$ and radius $r$ is stretched by a length $l$. Another wire of the same material but with initial length $2L$ and radius $2r$ is stretched by a length $2l$. The ratio of the stored energy per unit volume in the first and second wire is

One end of a horizontal thick copper wire of length $2L$ and radius $2R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

A solid sphere of radius $R$ And density $\rho$ Is attached to one end of a massless spring of force constant $k$. The other end of the spring is connected to another solid sphere of radius $R$ And density $3\rho$. The complete arrangement is placed in a liquid of density $2p$ And is allowed to reach equilibrium. The correct statement is (are).

The length of a metal wire is $L_1$ when the tension is $T_1$ and $L_2$ when the tension is $T_2$. The unstretched length of the wire is