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The brass scale of a barometer has no er...

The brass scale of a barometer has no error at `0^(@)C.` `alpha` of brass `=0.00002^(@)C^(-1).` The reading of the barometer at `27^(@)C` is 75 cm. What is the actual reading of the barometer?

Text Solution

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As the scale is error-less at `0^(@)C`, its length will increase at `27^(@)C`. Actual length corresponding to the measured value of 75 cm at `27^(@)C` in this scale
`" "=75{1+0.00002 times 27}=75 times 1.00054=75.0405 cm`
`therefore` Actual reading of the barometer = 75.0405 cm.
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