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Q.

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

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a

80 kg-wt

b

240 kg-wt

c

200 kg-wt

d

160 kg-wt

answer is D.

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Detailed Solution

∴Breaking force = Breaking stress x Area of cross section of wire Breaking force ∝r2 (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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