Question

The upper fixed point and lower fixed point of a thermometer are wrongly marked as $96^{\circ} C$ and $-2^{\circ} C$ respectively. The reading of this thermometer is (correct thermometer reads $50^{\circ} C$ ) :

• A. $37^{\circ} C$
• B. $40^{\circ} C$
• C. $42^{\circ} C$
• D. $47^{\circ} C$

Answer 1

Answer: (D)

$\frac{\text { Reading of faulty thermometer }-L F P}{U F P-L F P}=\frac{T_{C}-0}{100}$
Let temperature on thermometer is $T^{\circ} C$,
$\Rightarrow \frac{T-(-2)}{96-(-2)}=\frac{50-0}{100}$
$\Rightarrow T=47^{\circ} C$