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A copper rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness, find the thickness of a wire.

Posted by Pratima Kushwaha 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yashank Kumar 6 years, 1 month ago

Given diameter of the copper rod = 1 cm So, radius(r) of the copper rod = 1/2 cm Let R is the radius of the cross section(circular) of the wire. Now, according to the question, πR2 *(18*100) = π(1/2)2 *8 => R2 *(18*100) = (1/2)2 *8 => R2 *(18*100) = 8/4 => R2 *(18*100) = 2 => R2 = 2/(18*100) => R2 = 1/(9*100) => R = √{1/(9*100)} => R = 1/(3*10) => R = 1/30 Now, thickness of the wire = 2r = 2 * 1/30 = 2/30 = 1/15 = 0.067 cm

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