Solveeit Logo
Login

Question

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 ...

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

A

6 mm

B

3 mm

C

24 mm

D

48 mm

Answer

3 mm

Explanation

Solution

l∝1r2l \propto \frac { 1 } { r ^ { 2 } }. If radius of the wire is doubled then increment in length will become 14\frac { 1 } { 4 } times i.e. 124=3 mm\frac { 12 } { 4 } = 3 \mathrm {~mm}