Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# The temperature at which the reading of Fahrenheit thermometer will be doublethat of a Centigrade thermometer is:(A) $160^{\circ} \mathrm{C}$ (B) ${{180}^{{}^\circ }}C$ (C) ${{32}^{{}^\circ }}C$ (D) ${{100}^{{}^\circ }}C$

Last updated date: 20th Jun 2024
Total views: 404.4k
Views today: 10.04k
Verified
404.4k+ views
Hint
We know that Celsius scale, or centigrade scale, is a temperature scale that is based on the freezing point of water at $0^{\circ} \mathrm{C}$ and the boiling point of water at $100^{\circ} \mathrm{C}$ . Fahrenheit scale is a temperature scale that is based on the freezing point of water at $32^{\circ} \mathrm{F}$ and he boiling point of water at $212^{\circ} \mathrm{F}$ . One degree of change on the Celsius scale is a larger temperature change than one degree of change on the Fahrenheit scale. It is almost twice as much change. So, here, one Celsius is hotter. The one-degree point on the Fahrenheit scale is well below the freezing temperature of water. Fahrenheit is superior for measuring temperature precisely. It's also better because humans tend to care more about air temperature rather than water temperature. For those reasons, we should welcome Fahrenheit as a standard of temperature measurement, rather than rejecting it for its metric counterpart. Based on this we have to solve this question.

Given, $F=2 C$
$\frac{C}{100}=\frac{F-32}{180}$
$\frac{C}{100}=\frac{2 C-32}{180}$
$C \times 9=5(2 C-32)$
$9 C=10 C-10$
$C=160^{\circ} \mathrm{C}$ .