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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.

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20.5cm

69.5cm

60.5cm

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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