+3 votes
in JEE by kratos

For which value of the temperature will the values of Fahrenheit scale and Kelvin scale be equal?

(A) 459.67

(B) 574.32

(C) – 32

(D) 100

1 Answer

+1 vote
by kratos
 
Best answer

The correct option is (B) 574.32.

Explanation:

Let temperature in Kelvin is K and in Fahrenheit is F

Given K = F

We know,

K = [(5/9) (F – 32)] + 273

Put K = F

K = [(5/9) (K – 32)] + 273

K = (5/9)K – {(5/9) × 32} + 273

∴ (4/9)K = – 17.78 + 273

∴ (4/9)K = 255.22

∴ K = 574.24

∴ Temperature is K = F = 574.24

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