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JEE Main202118 Mar 2021Morning ShiftPhysicsMechanical Properties of SolidsActual

Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N . Assume that both the wires are made up of same material and the radius of wire B is 4 times that of the radius of wire A . The length of the wires A and B are in the ratio of a : b . Then a b can be expressed as 1 x , where x is _____.

Correct answer

0

Step-by-step solution

For A E π r 2 = y 2   m m a   . . . 1 For B E π · 16 r 2 = y 4   m m   b   . . . 2 ∴   ( 1 ) / ( 2 ) 16 = 2   b 4   a a b = 1 32 ∴ = 32

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