Question

4. A thermometer graduated according to
a linear scale reads a value x, when in
contact with boiling water, and x/3 when
in contact with ice. What is the temperature
of an object in 0°C, if this thermometer in
the contact with the object reads x/2 ?
1) 35
2) 25
3) 60
4) 40​

Answer 1

The temperature of the object is 25°C.

Explanation:

x0/3 is equivalent to 0°C

x0 is equivalent to 100°C

Then

x - x0/3  ÷ x0 - x0/3 = T - 0 / 100 - 0

Now put x = xo/2

So xo/2 - xo/3 ÷ 2xo/3 = T /100

x0 / 6 x 2xo/3  =  T / 100

T = 100 / 4  = 25°C

Hence the temperature of the object is 25°C.

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