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Question

Fahrenheit and Kelvin Scales are in agreement at a reading of


A

-40

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B

0

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C

574

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D

273

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Solution

The correct option is C

574


Step 1 Equating both the conversion Formulas

By Equating both the conversion formulas, we will obtain the relation between Kelvin and Fahrenheit Scale

TC=TK-273TC=TF-32×59TK-273=TF-32×59

Step 2 Solving to find at which reading the Fahrenheit and Kelvin Scales are in agreement

We need to find at which value, Kelvin Scale and Fahrenheit Scale will show the same temperature. (So, we can substitute TK in the place of TF, as TK=TF, as per the situation)

Therefore,

TK-273=TF-32×59TK-273=TK-32×59TK-273=59(TK)-59(32)TK-273=59(TK)-17.78TK-59(TK)=273-17.789TK-5TK9=255.224TK9=255.22TK=255.22×94TK=574.245

By rounding off, we will get TK=574

Therefore, the reading at which the Fahrenheit and Kelvin Scale will be equal is at 574

Hence option (c) 574is correct


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