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Q.
The readings of a bath on Celsius and Fahrenheit thermometers are in the ratio $2: 5 .$ The temperature of the bath is
Thermal Properties of Matter
Solution:
$\frac{T_{C}}{100}=\frac{T_{F}-32}{180}$
where
$T_{C} \longrightarrow $ temperature in Celcius
$T_{F} \longrightarrow $ temperature in Fahrenheit
$T_{c}: T_{F}$ given as $2: 5$
Let $T_{c}=2 x$
$T_{F}=5 x$
$\frac{2 x}{10}=\frac{5 x-32}{18}$
$x=\frac{160}{7}$
So, $2 x=\frac{320}{7} \sim 45.7^{\circ} C$