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Q.

A barometer with a brass scale correct at 0°C reads 70 cm of mercury on a day when the air temperature is 40°C. the correct reading at 0°C is (Coefficient of real expansion of mercury is 0.00018/°C and the coefficient of linear expansion of brass is 0.000018/°C.

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a

20.5cm

b

69.5cm

c

60.5cm

d

50.00cm

answer is B.

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Detailed Solution

t = 40°C; H = 70 cm of Hg; H0 =? 
γ = 0.00018 = 180 x 10-6/oC
α = 0.000018 = 18 x 10-6/oC
we have H0 = H[1- (γ-α)t] 
= 70[1 - (180 x 10-6 - 18 x 10-6)(40)] 
= 69.5 cm of Hg

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A barometer with a brass scale correct at 0°C reads 70 cm of mercury on a day when the air temperature is 40°C. the correct reading at 0°C is (Coefficient of real expansion of mercury is 0.00018/°C and the coefficient of linear expansion of brass is 0.000018/°C.