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A faulty acale has its fixed poihnts mor...

A faulty acale has its fixed poihnts morked as `5^(@)C` and `95^(@)C` The temperature of a body as measured by the faulty scale is `59^(@).` Find the correct temperature of the body on Celsius scale.

Text Solution

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Let the reading on the faulty thermometer be x and the corresponding reading on Celsius scale be C.
`(x -"L.F.P.")/("U.F.P. - L.F.P.") = (C - 0)/(100 - 0) " " (x - 5)/(95 - 5) = (C)/(100)`
` C = (100)/(90) (x -5 ) " " C = (10)/(9) (x - 5)`
` C = (10)/(9) (59-5) " " (because x = 59^(@)) C = 60^(@) C `
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