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 $