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AP EAMCET201726 Apr 2017Morning ShiftPhysicsMechanical Properties of SolidsActual

The ratios of lengths, areas of cross-section and Young's modulii of steel to that of brass wires shown in the figure are a, b and c respectively. The ratio of increase in the lengths of brass to that of steel wires is [Assume that the masses of steel and brass wires are negligible]

Options

  1. A4 a 7 b c
  2. B7 b c 4 a
  3. C4 b c 7 a
  4. D7 a 4 b c

Correct answer

C. 4 b c 7 a

Step-by-step solution

Now, T^ =T+3 g T=4 g So, T^ =7 ~g So, F_S F_B = T^ T = 7 4 We know that, aligned & Y= F / A L / L L= F L A Y & L_S L_B = ( F_S F_B ) ( L_S L_B ) ( A_B A_S ) ( Y_B Y_S ) & = 7 4 (a) ( 1 b ) ( 1 c ) & or, L_S L_B = 7 a 4 b c or, L_B L_S = 4 b c 7 a aligned

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