Question

The graph between applied force a nd change in the length of wire within elastic limit is a??
a straight line with positive slope
b straight line with negative slope
c curve with positive slope
d curve with negative slope

Answer 1

$$\begin{gathered} \mathrm{Stress}\mathrm{is}\mathrm{directly}\mathrm{proportional}\mathrm{to}\mathrm{strain}\mathrm{within}\mathrm{elastic}\mathrm{limit}: \\ \frac{\mathrm{F}}{\mathrm{A}}\mathrm{\alpha }\frac{△\mathrm{L}}{\mathrm{L}} \\ \mathrm{As}\mathrm{A}\mathrm{and}\mathrm{L}\mathrm{are}\mathrm{constants},\mathrm{F}\mathrm{\alpha }△\mathrm{L} \\ \mathrm{Hence},\mathrm{the}\mathrm{graph}\mathrm{between}\mathrm{applied}\mathrm{force}\mathrm{and}\mathrm{change}\mathrm{in}\mathrm{length}\mathrm{is}\mathrm{a}\mathrm{straight}\mathrm{line} \\ \mathrm{with}\mathrm{positive}\mathrm{slope}. \\ \mathrm{Ans}:\mathrm{Option}-\left(\mathrm{a}\right) \end{gathered}$$