Question

A Celsius thermometer and a Fahrenheit thermometer are put in a hot bath. The reading on Fahrenheit thermometer is just 3 times the reading on Celsius thermometer. The temperature of the hot bath is

• A. ${26.67}^{0}C$
• B. ${36.67}^{0}C$
• C. ${46.67}^{\circ }C$
• D. ${56.67}^{\circ }C$

Answer 1

The correct option is A ${26.67}^{0}C$

The relation between celsius scale and fahrenheit scale is

$\frac{F-32}{180}=\frac{C}{100}$

Given, $F=2C$

Then,

$\frac{3C-32}{100}=\frac{C}{100}$

$C=\frac{80}{3}={26.67}^{0}C$