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The height of mercury column in a barometer provided with a brass scale correct at $0^{0} C$ is observed to be 75.2 cm at $20^{0} C$ . If $α_{b r a s s} = 18 \times 10^{- 6} /^{0} C$ , the true height of the column at $20^{0} C$ will be:

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75.23 cm

75.24 cm

75.25 cm

75.26 cm

answer is A.

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Detailed Solution

$Δ L = α L (θ_{2} - θ_{1}) = 18 \times 10^{6} \times 75.2 \times 20 = 0.027 = 0.03$

$T h e c o r r e c t v a l u e = 75.2 + 0.03 = 75.23 c m .$

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