AP EAMCET · PHYSICS · Thermal Properties of Matter
The temperature of a body is measured both in \({ }^{\circ} \mathrm{C}\) and \({ }^{\circ} \mathrm{F}\). A graph is plotted with \({ }^{\circ} \mathrm{F}\) on \(X\)-axis and \({ }^{\circ} \mathrm{C}\) on \(Y\)-axis. Then, the cosine of angle between the graph and the \(X\)-axis is
- A 0
- B \(\frac{9}{5}\)
- C \(\frac{5}{\sqrt{106}}\)
- D \(\frac{9}{\sqrt{106}}\)
Answer & Solution
Correct Answer
(D) \(\frac{9}{\sqrt{106}}\)
Step-by-step Solution
Detailed explanation
The relation between celsius scale temperature and fahrenheit scale temperature is given as \(\begin{aligned} & & \frac{C}{5} & =\frac{F-32}{9} \\ \Rightarrow & & 9 C & =5 F-160 \\ \Rightarrow & & C & =\frac{5}{9} F-\frac{160}{9} \quad \ldots (i) \end{aligned}\) The graph…
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