Question

A student plots a graph from his reading on the determination of Young modulus of a metal wire but forgets to put the labels. the quantities on X and Y-axes may be respectively
(a) weight hung and length increased
(b) stress applied and length increased
(c) stress applied and strain developed
(d) length increased and the weight hung.
Figure

Answer 1

All Options are Correct

Explanation:

It is obvious from the diagram that the amount along one hub is straightforwardly relative to the amount along another hub.  

• We realize that pressure/strain =  

$Y (steady) = \frac {W}{A} ={Y}\frac {I}{L}$

$W = \frac {YA}{L} I$

For a given wire, cross-sectional territory An and the length L is consistent.  

• Consequently $W = K\ \timesl {where\ \frac {YA}{L} = K$, a constant}  

• $W\infty l$

for example the weight hung is corresponding to the length expanded.  

• So the choice (an) is valid. On the off chance that we compose the articulation as $W = \frac {YA}{L} I$

• $stress \infty length$ expanded {where $\frac{Y}{L}$ is another constant}  

Hence the Option (b) is valid.  

• Since the $Stress \infty Strain$ and the steady of proportionality is Young's modulus of Elasticity.  

Henceforth the choice (c) is right.  

• It is a similar instance of choice (a) just the axis have been changed. Which is additionally valid.  

Hence, the choice (d) is valid. In this manner all alternatives are valid.