Statement-1: When a wire is stretched with in the proportionality limit such that its length becomes n times that of its initial value, the resistance of wire may become `n^(2)` times of its initial resistance
Statement-2: The poisson's ratio of the wire's material can be 1//2.

Options

A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
C. Statement-1 is true, statement-2 is false.
D. Statement -1 is false, statement -2 is true.

Answer

A

Explanation

`R=(rhol)/A=(rhol^(2))/((Al))` is volume is constant V=const. Þ A1=const Þ r^(2)1=const.
`Rightarrow (2Deltar)/r+(Deltal)/l=0=0 `Rightarrowpoisson's ratio
`=-(Deltar//r)/(Deltal//l)=1/2`