Question

At what temperature, the Fahrenheit scale reading is double of Celsius Scale reading?

• A. $-{40}^{\circ }C$
• B. ${100}^{\circ }C$
• C. ${160}^{\circ }C$
• D. ${90}^{\circ }C$

Answer 1

Answer: (C)

${160}^{\circ }C$

Step1: Relation between Fahrenheit scale and Celsius Scale

$F=\frac{9}{5}C+32$ ........(i)

Step2: Applying Given condition

$2C=F$ (given) .........(ii)

$\therefore 2C=\frac{9}{5}C+32$ .......(from (i) & (ii))

$\therefore 0.2C=32$

$\therefore C=16\times 10$

$\therefore C={160}^{o}C$

Hence at ${160}^{o}C$ Fahrenheit scale reading is double & celsius scale reading.