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A tungsten wire, 0.5 mm in diameter, is just stretched between two fixed points at a temperature of 400C . Determine the tension in the wire when the temperature falls to 200C . (coefficient of linear expansion of tungsten=4.5×10−6/0C ; Young’s modulus of tungsten =3.45×101 0Nm–2)

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a

6.097N

b

3.097N

c

5.097N

d

7.097N

answer is A.

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Detailed Solution

F=YA∝Δt ==3.45×1010×π0.5×10-32×4.5×10-6×40-20=6.097N

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A tungsten wire, 0.5 mm in diameter, is just stretched between two fixed points at a temperature of 400C . Determine the tension in the wire when the temperature falls to 200C . (coefficient of linear expansion of tungsten=4.5×10−6/0C ; Young’s modulus of tungsten =3.45×101 0Nm–2)