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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)" "(becausex=59^(@))" "C=60^(@)C`
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