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`?

Options

A. 35
B. 40
C. 60
D. 25

Answer

D

Explanation

Boiling point and melting point of water in given scale are `x_(0)and(x_(0))/(3)` respectively.
`rArr((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`