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Q.

If to break a wire of 1 m length, minimum 40 kg-wt is required, then to break a wire of same material6 m in length and double in radius, the breaking weight required will be

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a

40 kg-wt

b

80 kg-wt

c

160 kg-wt

d

320 kg-wt

answer is C.

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Detailed Solution

Breaking force = Breaking stress x Area of cross-section of wire∴  Breaking force ∝r2If radius becomes doubled, then breaking force becomes 4 times, i.e. 40 x 4 = 160 kg-wt
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If to break a wire of 1 m length, minimum 40 kg-wt is required, then to break a wire of same material6 m in length and double in radius, the breaking weight required will be