Question

A force F is needed to beaker a copper wire having radius R. The force needed to break a copper wire of radius $2R$ will be:

• A. $F/2$
• B. $2F$
• C. $4F$
• D. $F/4$

Answer 1

The correct option is C $4F$

We know,

Breaking Force $\propto$ Cross-Sectional Area

And, Cross-Sectional Area $\propto R^2$

So, the force needed to break a copper wire of radius

2R2R will be four times of force needed to break a copper wire with radius R.

So, the correct option will be $\left(C\right)$