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O Levels Physics (5054)•5054/12/O/N/18
Question 21 from 5054/12/O/N/18

Explanation

Thermometer length affects scale spread for sensitivity Steps:

  • Both thermometers have identical liquid volume and capillary diameter, so identical volume expansion per degree Celsius.
  • The temperature range (span from lowest to highest measurable temperature) is the same, as they are nearly identical except for overall length.
  • The longer thermometer distributes this expansion over a greater stem length, creating a more spread-out scale.
  • This results in a larger distance per degree on the scale, increasing sensitivity (ease of reading small changes).

Why B is correct:

  • Sensitivity is defined as scale length per unit temperature change; longer stem gives greater length per degree for fixed range, per the expansion formula h = (V₀ γ ΔT)/A (same V₀, γ, A).

Why the others are wrong:

  • A: Ranges are not different; design assumes same span.
  • C: Sensitivities are not the same; longer scale increases reading precision.
  • D: Sensitivities differ due to scale length variation.

Final answer: B

Topic: Thermal expansion of solids, liquids and gases

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