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QPages 11-12: Q3: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 11-12: Q3 Solution: Which of the following pairs may give equal numerical values of …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often set two temperature scales equal and immediately dismiss a solution, believing equality can occur only at their shared zero point. Remember to solve the full linear relation—including both slope and intercept—because scales like Fahrenheit and Kelvin intersect at a positive temperature (≈574.6 K), not just at zero.

Which of the following pairs may give equal numerical values of the temperature of a body?

Multiple Choice Options

  • A a) Fahrenheit and Celsius,
  • B b) Fahrenheit and Kelvin,
  • C c) Celsius and Kelvin,
  • D d) Both a & b

Step-by-Step Verified Solution

**Answer:** (a) Fahrenheit and Kelvin. **Step-by-Step Explanation:** The Fahrenheit and Kelvin scales have a temperature at which their numerical values are equal. Setting F = K: K = (9/5)(K - 273.15) + 32 gives K = 574.25. At this temperature, both scales read the same numerical value. Celsius and Kelvin never give equal numerical values (they differ by 273.15).

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