Question

A body is at 113°F. If a faulty celsius scale reads it as 50°C then error in celsius scale is
(A)
5°C
(B) 10°C
(C) 15°C
(D) 20°C
A
C
Mark For Review & Next
Clear Response​

Answer 1

$\bigstar$ Answer:

$\checkmark$ (A) 5°C

$\bigstar$ Explanation:

$\star$ Given:

A body is at 113°F. If a faulty Celsius scale reads it as 50°C

$\star$ To Find:

Error in Celsius scale

$\star$ Solution:

We know that,

Conversion between Fahrenheit and Celsius

$\red{\implies \rm \dfrac{C}{5}=\dfrac{F-32}{9}}$

Given that,

A body is at 113°F

Therefore,

⇒ F = 113°F

According to Question,

To find the correct reading in Celsius scale for the given Fahrenheit value

[ F=113°F ]

Hence,

By Substituting the value,

We get,

$\green{\implies \rm \dfrac{C}{5}=\dfrac{113-32}{9}}$

$\blue{\implies \rm \dfrac{C}{5}=\dfrac{81}{9}}$

$\red{\implies \rm \dfrac{C}{5}=9}$

$\gray{\rm \implies C=(9 \times 5)^{\circ}C}$

$\pink{\rm \implies C=45^{\circ}C}$

Therefore,

The Correct reading in Celsius scale is 45°C

Hence,

The error in the Celsius Thermometer is

$\blue{\implies \rm Error=50^{\circ}C-45^{\circ}C}$

$\pink{\implies \rm Error=5^{\circ}C}$

Therefore,

$\checkmark$ Option (A) is correct