Physics Elasticity Question 105
Question:The ratio of diameters of two wires of same material is n : 1. The length of wires are 4 m each. On applying the same load, the increase in length of thin wire will be
Options:
A) $ n^{2} $ times
B) n times
C) 2n times
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
$ l\propto \frac{FL}{r^{2}Y} $
Therefore $ l\propto \frac{1}{r^{2}} $
$ \text{( }F,L\ \text{and }Y\text{ are constant)} $
$ \frac{l _{2}}{l _{1}}={{\left( \frac{r _{1}}{r _{2}} \right)}^{2}}={{(n)}^{2}}\Rightarrow l _{2}=n^{2}l _{1} $
BETA
