Physics Elasticity Question 79
Question: A wire is loaded by 6 kg at its one end, the increase in length is 12 mm. If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be
[MP PMT 1987; AI SSCE 1982]
Options:
A) 6 mm
B) 3 mm
C) 24 mm
D) 48 mm
Show Answer
Answer:
Correct Answer: B
Solution:
$ l\propto \frac{1}{r^{2}} $ . If radius of the wire is doubled then increment in length will become $ \frac{1}{4} $ times i.e. $ \frac{12}{4}=3mm $