Q133 / 150 · MHT CET 2025 (21 Apr Shift 1) · Physics

A centigrade and Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit temperature observed is $140^{\circ} \mathrm{F}$. At that time the temperature registered by the centigrade thermometer is

  • A
    $80^{\circ} \mathrm{C}$
  • Correct answer
    B
    $60^{\circ} \mathrm{C}$
  • C
    $40^{\circ} \mathrm{C}$
  • D
    $20^{\circ} \mathrm{C}$

Solution

Temperature conversion from Fahrenheit to Celsius uses the formula: $T_C = \frac{5}{9}(T_F - 32)$.

For $T_F = 140^\circ\mathrm{F}$, substitute into the formula:

$T_C = \frac{5}{9}(140 - 32) = \frac{5}{9} \times 108 = 5 \times 12 = 60^\circ\mathrm{C}$.

The result corresponds to option B.

Hence, the correct answer is option: 'B'.

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