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Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A resistance thermometer is made one arm of a Wheatstone bridge. At 0∘C0^\circ\text{C} its resistance is 100 Ω100\ \Omega. Its temperature coefficient is 4.0×10−3 ∘C−14.0\times10^{-3}\ ^\circ\text{C}^{-1}. The bridge is balanced at an unknown temperature when the other three arms are 120 Ω120\ \Omega, 150 Ω150\ \Omega, and 160 Ω160\ \Omega arranged so that RT/120=160/150R_T/120=160/150.
Total: 5 marks

(a) Find the thermometer resistance at balance. (2 marks)

(b) Find the temperature. (3 marks)

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cbse-physics-12.u2.t2-5.laq.004

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