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Which is the temperature that is common in the Celsius and the Fahrenheit scale?

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Question

Which is the temperature that is common in the Celsius and the Fahrenheit scale?
Short/Brief Note
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Solution

The temperature that is common in both clinical and Fahrenheit scale is -40oC
Derivation is as follows
Let the temperature be x
C/100= (F - 32)/180
x/100 = (x-32)/180
x X 180/100 = x-32
9/5x = x-32
-4/5x =32
X = - 40

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Chapter 5: Heat and Energy - Exercise [Page 230]

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Frank Physics Part 1 [English] Class 9 ICSE
Chapter 5 Heat and Energy
Exercise | Q 56 | Page 230
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