The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is

Question

The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is (A) -40° C (B) 313° C (C) 0° C (D) 100° C

Tardigrade Admin · Accepted Answer

Let the readings of two thermometers coincide at C=F=x As (C/5)=(F-32/9) ∴ (x/5)=(x-32/9) or 9 x=5 x-160 x=-40° C

Q. The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is

$- 4 0^{\circ} C$

$31 3^{\circ} C$

$0^{\circ} C$

$10 0^{\circ} C$

Let the readings of two thermometers coincide at $C = F = x$
As $\frac{C}{5} = \frac{F - 32}{9}$
$∴ \frac{x}{5} = \frac{x - 32}{9}$
or $9 x = 5 x - 160$
$x = - 4 0^{\circ} C$

Q. The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is

−40∘C

313∘C

0∘C

100∘C

Let the readings of two thermometers coincide at C=F=x As 5C​=9F−32​ ∴5x​=9x−32​ or 9x=5x−160 x=−40∘C

$- 4 0^{\circ} C$

$31 3^{\circ} C$

$0^{\circ} C$

$10 0^{\circ} C$

Let the readings of two thermometers coincide at $C = F = x$
As $\frac{C}{5} = \frac{F - 32}{9}$
$∴ \frac{x}{5} = \frac{x - 32}{9}$
or $9 x = 5 x - 160$
$x = - 4 0^{\circ} C$