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Question: Each wire in Fig. has cross – section 5 × 10<sup>-3</sup> cm<sup>2</sup> and Y = 2 × 10<sup>11</sup>...

Each wire in Fig. has cross – section 5 × 10-3 cm2 and Y = 2 × 1011 Pa. P, Q and R have mass 3 kg each find the strain developed in a A. Assume surface to be smooth.

A

10-5

B

10-6

C

10-4

D

None

Answer

10-4

Explanation

Solution

3g – T1 = 3a …………… (i)

T1 – T2 = 3a …………… (ii)

T2 = 3a ………….. (iii)

Adding (i), (ii) and (iii)

a = g3\frac{g}{3}; T2 = 3a = g

Δll=F/AY=TAY=g5×103×2×1011×104=104.\frac{\Delta l}{l} = \frac{F/A}{Y} = \frac{T}{AY} = \frac{g}{5 \times 10^{- 3} \times 2 \times 10^{11} \times 10^{- 4}} = 10^{- 4}.