-
On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39° W and 239° W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39° C on the Celsius scale?
-
- 78° W
- 117° W
- 200° W
- 139° W
Correct Option: B
For different temperature scales, we have
| = constant | ||
| U.F.P - L.F.P |
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,
| = | (∴ C = 39°C) | |||
| 100 - 0 | 239 - 39 |
| ⇒ | + 39 = 78 + 39 = 117° W | |
| 100 |
