Physics Q96 – AP-EAMCET 2026

At what temperature, Celsius scale and Fahrenheit scale will coincide

Clue 1 of 3: Temperature Scales

Understand the relationship between the Celsius and Fahrenheit temperature scales.

🧠 Full Solution Path

Step 1: Identify the Conversion Formula✦ Active

The relationship between Celsius ( $C$ ) and Fahrenheit ( $F$ ) temperature scales is given by the formula:

F = \frac{9}{5} C + 32

Step 2: Set the Temperatures Equal○ Expand

We are looking for the temperature at which the Celsius and Fahrenheit scales coincide. This means $C = F$ . Let's denote this common temperature as $x$ .

So, we substitute $x$ for both $C$ and $F$ in the conversion formula:

x = \frac{9}{5} x + 32

💡 Teacher's Secret Hint

Remember that 'coincide' means the numerical value on both scales is the same.

Step 3: Solve for x○ Expand

Now, we need to solve this algebraic equation for $x$ :

x - \frac{9}{5} x = 32

\frac{5 x - 9 x}{5} = 32

\frac{- 4 x}{5} = 32

- 4 x = 32 \times 5

- 4 x = 160

x = \frac{160}{- 4}

x = - 40

💡 Teacher's Secret Hint

Be careful with the signs during algebraic manipulation, especially when combining terms with fractions.

Step 4: State the Coinciding Temperature○ Expand

Therefore, the Celsius and Fahrenheit scales coincide at $- 40^{\circ}$ . This means $- 40^{\circ} C$ is equal to $- 40^{\circ} F$ .

The correct option is $- 40^{\circ} C$ .

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Physics Question 96 – AP-EAMCET 2026

Clue 1 of 3: Temperature Scales

🧠 Full Solution Path