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MP Board · Class 11 · Physics · Thermal Properties of MatterAt what temperature do the Celsius and Fahrenheit scales read the exact same numerical value?

Step-by-Step Solution

Using the relation $\frac{C}{5} = \frac{F - 32}{9}$, let $C = F = x$. Then $\frac{x}{5} = \frac{x - 32}{9} \implies 9x = 5x - 160 \implies 4x = -160 \implies x = -40^\circ$. Hence, option A is correct.

Detailed Options Breakdown
Option : $-40^\circ$ (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 1: $40^\circ$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Thermal Properties of Matter.

Option 2: $-32^\circ$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Thermal Properties of Matter.

Option 3: $0^\circ$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Thermal Properties of Matter.

💡 Study Guide: This question tests core syllabus concepts from Thermal Properties of Matter. For formulas, key summaries, and mock exam reference guides, read the full Thermal Properties of Matter Revision Notes.
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