Question

The temperature at which Celsius reading is half theifahrenheit reading

• A. $40^{\circ }C$
• B. $20^{\circ }C$
• C. $160^{\circ }C$
• D. $80^{\circ }C$

Answer 1

Answer: (C)

Let at temperature $x^{\circ }C$, Celsius scale is half of that on Fahrenheit scale, We have relation between Celsius scale and Fahrenheit scale,
$<br/>\frac{T_C-0}{100}=\frac{T_F-32}{180}<br/>$
As Celsius scale is half of that on Fahrenheit scale i.e. Fahrenheit scale is double of that on Celsius scale,
Hence, $T_F=2x^{\circ }F$,
$<br/>\frac{x-0}{100}=\frac{2x-32}{180}<br/>$
or $x=160^{\circ }C$,