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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`?

A

35

B

40

C

60

D

25

Text Solution

Verified by Experts

The correct Answer is:
D
Boiling point and melting point of water in given scale are `x _(0) and (x _(0))/( 2)` respectively.
`implies ((x _(0))/(2 ) - ( x _(0))/(3 ))/(x _(0) - (x _(0))/(3 ))= (y-0)/(100-0)`
where y is reading in `""^(@)C.`
`((x _(0))/(6 ))/((2x _(0))/(3 ))= (y)/(100) or y = 25 ^(@)C.`
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