First slide

Elastic behaviour of solids

Question

To break a wire of one meter length, minimum 40 kg-wt is required. Then the wire of the same material of double radius and 6 m length will require breaking weight

Easy

A

80 kg-wt
B

240 kg-wt
C

200 kg-wt
D

160 kg-wt

Solution

$∴$ Breaking force = Breaking stress x Area of cross section of wire
Breaking force $\propto r^{2}$ (Breaking distance is constant) If radius becomes doubled, then breaking force will become 4 times i.e. 40 x 4 = 160 kg wt

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