Question

The diagram shows a force-extension graph for a rubber band. Consider the following statements:
$I$. It will be easier to compress this rubber then expand it
$II$. Rubber does not return to its original length after it is stretched
$III$. The rubber band will get heated if it is stretched and released.
Which of these can be deduced from the graph?

• A. $III$ only
• B. $II$ and $III$
• C. $I$ and $III$
• D. $I$ only

Answer 1

The correct option is C $I$ and $III$

According to the graph, $F_{ext}>F_{com}$ for same $x$

Thus more force is required to elongate the rubber. Hence it is easier to compress the rubber than to expand it.

Also $x=0$ for $F=0$ (during compression)

This state that the rubber will come to its original state when the applied force is removed.

Area enclosed in the $x$-$F$ graph gives the work done of the process.

From the graph, the net work done $W>0$ which heats up the rubber band.