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Physics · JEE | THERMAL PROPERTIES OF MATTER

हिन्दी

The relationship between Fahrenheit temperature (\( t_F \)) and Celsius temperature (\( t_C \)) is given by \( \frac{t_F - 32}{180} = \frac{t_C}{100} \). At what temperature do the Fahrenheit and Celsius thermometers read the exact same numerical value?

  1. A
    \( 0^\circ \)
  2. B
    \( -40^\circ \)
  3. C
    \( 32^\circ \)
  4. D
    \( 212^\circ \)
View Answer & Solution

Correct answer · Option B

\( -40^\circ \)

Explanation

Let \( t_F = t_C = x \). Then \( \frac{x - 32}{18} = \frac{x}{10} \implies 10x - 320 = 18x \implies 8x = -320 \implies x = -40^\circ \).
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