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A thermometer graduated accoding linear...

A thermometer graduated accoding linear scale reads a value `x_(0)` when in contact with boiling water, and `X_(0)s//3` when in contact with ice . What is the temperature of an object in `.^(@)C`, if this thermometer in the contact with the object reads `x_(0)//2`?

Text Solution

Verified by Experts

Let required temperature `=T^(@)C`

`impliesT^(@)C=(x_(0))/2-(x_(0))/3=(x_(0))/6`
& `(x_(0)-(x_(0))/3)=(100-0^(@)C0`
`implies(2x_(0))/3=100impliesx_(0)=300/2`
`impliesT^(2)C=(x_(0))/6=150/6=25^(@)C`
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