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Q.

A steel wire of length 20 cm and uniform cross-section 1mm² is tied rigidly at both the ends. The temperature of the wire is altered from 40°C to 20°C. Coefficient of linear expansion for steel $α$ =1.1 x 10^-5 /°C and Young modulus Y for steel is 2 .0 x 10¹¹ N/m² . The change in tension of the wire is

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a

8 newton

b

2.2x 10⁶ newton

c

44 newton

d

16 newton

answer is D.

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Detailed Solution

$\begin{array}{l} F = YAαt \\ = (2 \cdot 0 \times 10^{11}) (10^{- 6}) (1 \cdot 1 \times 10^{- 5}) (20) \\ = 44 newton \end{array}$

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A steel wire of length 20 cm and uniform cross-section 1mm2 is tied rigidly at both the ends. The temperature of the wire is altered from 40°C to 20°C. Coefficient of linear expansion for steel α =1.1 x 10-5 /°C and Young modulus Y for steel is 2 .0 x 1011 N/m2 . The change in tension of the wire is