Wires A and B are connected with blocks P and Q as shown. The ratio of lengths, radii and Young's modulus of wires A and B are r:1, 1:2r and 1:3r respectively (r is a constant). Find the mass of block P if ratio of increase in their corresponding lengths is 16r2. The mass of the block Q is 3M.

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answer is C.

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Detailed Solution

∆l = FLAY(∆l)A(∆l)B= (FAFB)(LALB)(ABAA)(YBYA)= (KM3M)(r)(12r)2(13r)= K36r2 = 16r2 (given)K = 6Mass of block P = 6 M

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