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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?
  • a)
    78 °W
  • b)
    117 °W
  • c)
    200 °W
  • d)
    139 °W
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
On a new scale of temperature, which is linear and called the W scale...
Whenever it is required to go from a higher fixed point to a lower fixed point, then we use the following method
By putting the given values in the above equation, we get:
From the above relation, we get, t = 117oW
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Community Answer
On a new scale of temperature, which is linear and called the W scale...

Conversion of temperature from Celsius to W scale:

First, we need to find the difference in freezing and boiling points on the W scale, which is 239°W - 39°W = 200°W.

Calculating the temperature on the W scale corresponding to 39°C:

Since the difference between freezing and boiling points on the W scale is 200°W, we can calculate the temperature on the W scale corresponding to 39°C using the proportion:

(39°C - 0°C) / (100°C - 0°C) = (T°W - 39°W) / 200°W

Solving for T°W:

39/100 = (T°W - 39) / 200
39 * 200 = 100(T°W - 39)
7800 = 100T°W - 3900
100T°W = 11700
T°W = 117°W

Therefore, the temperature on the W scale corresponding to 39°C on the Celsius scale is 117°W. So, the correct answer is option B.
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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?a)78 °Wb)117 °Wc)200 °Wd)139 °WCorrect answer is option 'B'. Can you explain this answer?
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