A faulty thermometer has its fixed point marked as 5° and 95°. The temperature of a body as measured by the faulty thermometer is 59°. The correct temperature of the body on Celsius scale is

Question

A faulty thermometer has its fixed point marked as 5° and 95°. The temperature of a body as measured by the faulty thermometer is 59°. The correct temperature of the body on Celsius scale is (A) 40°C (B) 60°C (C) 20°C (D) 30°C

Tardigrade Admin · Accepted Answer

Let x be the temperature measured by faulty thermometer = (C-0/100)=(- text lower fixedpoint / text number of divisions between the two fixed points ) or (C/100-0)=(59-5/95-5) (C/100)=(54/90) = C =60° C

Q. A faulty thermometer has its fixed point marked as $5^{\circ}$ and $9 5^{\circ}$ . The temperature of a body as measured by the faulty thermometer is $5 9^{\circ}$ . The correct temperature of the body on Celsius scale is

$4 0^{\circ} C$

$6 0^{\circ} C$

$2 0^{\circ} C$

$3 0^{\circ} C$

Let $x$ be the temperature measured by faulty thermometer $=$
$\frac{C - 0}{100} = \frac{- lower fixedpoint}{number of divisions between the two fixed points}$
or $\frac{C}{100 - 0} = \frac{59 - 5}{95 - 5}$
$\frac{C}{100} = \frac{54}{90}$
$= C = 6 0^{\circ} C$

Q. A faulty thermometer has its fixed point marked as 5∘ and 95∘. The temperature of a body as measured by the faulty thermometer is 59∘. The correct temperature of the body on Celsius scale is

40∘C

60∘C

20∘C

30∘C