The readings of a thermometer at \( 0^{\circ} \mathrm{C} \) and \( 100^{\circ} \mathrm{C} \) are...

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The readings of a thermometer at \( 0^{\circ} \mathrm{C} \) and \( 100^{\circ} \mathrm{C} \) are \( 50 \mathrm{~cm} \) and \( 75 \mathrm{~cm} \) of mercury column respectively. Find the temperature at which its reading is \( 80 \mathrm{~cm} \) of mercury column?
(a) \( 120^{\circ} \mathrm{C} \)
(b) \( 140^{\circ} \mathrm{C} \)
(c) \( 110^{\circ} \mathrm{C} \)
(d) \( 105^{\circ} \mathrm{C} \)
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