If the temperature of a body is increased by 5°C, then on Fahrenheit scale its temperature will increase by:

  1. 9°F
  2. 5°F
  3. 1.8°F
  4. None of these

Answer (Detailed Solution Below)

Option 1 : 9°F
Free
CRPF Head Constable & ASI Steno (Final Revision): Mini Mock Test
20.6 K Users
40 Questions 40 Marks 45 Mins

Detailed Solution

Download Solution PDF

CONCEPT:

Celsius scale:

  • In this scale, a lower fixed point (ice point) is taken 0° and the upper fixed point (steam point) is taken 100°.
  • On the Celsius scale, there are 100 equal intervals between two reference points.

Fahrenheit scale:

  • This scale of temperature has a lower fixed point at 32° F and an upper fixed point at 212° F.
  • On the Fahrenheit scale, there are 180 equal intervals between two reference points.

The relation between the Fahrenheit temperature (tF) and the Celsius temperature (tC) is given as,

\(⇒ \frac{t_F-32}{180}=\frac{t_C}{100}\)

\(⇒ t_F=\frac 95 t_C+32\)

CALCULATION:

Given ΔtC = 5°C

We know that the relation between the Fahrenheit temperature (tF) and the Celsius temperature (tC) is given as,

\(⇒ \frac{t_F-32}{180}=\frac{t_C}{100}\)

Let the temperature at first is C1 degree Celsius, and then it increased by 5° to C2 degree Celsius, hence the difference between the initial and final temperature is given by

C1 - C2 = 5

Let the temperature is F1 degree Fahrenheit corresponding to C1 degree Celsius and F2 degree Fahrenheit

When the temperature in degrees Celsius changed to C2 which can be calculated from the formula.

\({T_{\left( {^\circ F} \right)}}{\rm{ }} = \frac{9}{5} \times {\rm{ }}{T_{\left( {^\circ C} \right)\;}} + 32 \)

\(F_1 = C_ 1 \times \frac{9}{5}+32 \)

\(F_2 = C_ 2 \times \frac{9}{5}+32 \)

Then the difference in temperature in degrees Fahrenheit equal to

\(F_1 - F_2 = (C_1 - C_2) \times \frac{9}{5}\)

Where C1 - C2 = 5

\(F_1 - F_2 = 5 \times \frac{9}{5}= 9 ^\circ F\)

Latest Indian Coast Guard Navik GD Updates

Last updated on May 19, 2025

->The Indian Coast Guard Navik GD Merit List is out on the official website.

-> The Indian Coast Guard Navik GD is a prestigious exam for those who want to serve the country in Defence Services.

-> A total of 260 vacancies have been released through the Coast Guard Enrolled Personnel Test (CGEPT) for the 02/2025 batch.

-> Candidates had applied online till 3rd March 2025.

-> Candidates who have completed their 10+2 with Maths and Physics are eligible for this post. 

-> Candidates must go through the Indian Coast Guard Navik GD previous year papers.

More Thermal Properties of Matter Questions

Get Free Access Now
Hot Links: all teen patti master teen patti real cash apk teen patti 50 bonus teen patti gold apk download teen patti refer earn