TS EAMCET · Physics · Thermal Properties of Matter
The Fahrenheit and Kelvin scales of temperature will have the same reading at a temperature of
- A \(-40^{\circ} \mathrm{F}\)
- B \(313^{\circ} \mathrm{F}\)
- C \(574.6^{\circ} \mathrm{F}\)
- D \(732.7^{\circ} \mathrm{F}\)
Answer & Solution
Correct Answer
(C) \(574.6^{\circ} \mathrm{F}\)
Step-by-step Solution
Detailed explanation
The relation between Fahrenheit and kelvin is given by \[ \begin{aligned} & \frac{F-32}{9}=\frac{C-273}{5} \\ & F=C=X \\ & 5(X-32)=9(X-273) \\ & 5 X-160=9 X-2457 \\ & 4 X=2457-160 \\ & X=\frac{2457-160}{4}=574.25^{\circ} \mathrm{F}=574.6^{\circ} \mathrm{F} \end{aligned} \]
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