Thermal Properties of Matter - Result Question 5

5. On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39W and 239W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39C on the Celsius scale?

[2008]

(a) 78W

(b) 117W

(c) 200W

(d) 139W

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Answer:

Correct Answer: 5. (b)

Solution:

  1. (b) For different temperature scales, we have

x - L.F.P  U.F.P.- L.F.P. = constant

Where L.F.P Lower Fixed point

U.H.F. Upper fixed point

where x is the measurement at that scale. Here, if C and W be the measurements on Celsius and W scale then,

C01000=W3923939(C=39C)

W=39×200100+39=78+39=117W



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