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