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Short answer·Standard multi-step (3/5)·No calculator

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 body cools from 90∘C90^\circ\text{C} in a room at 30∘C30^\circ\text{C}. At 90∘C90^\circ\text{C} its rate of cooling is 3.0∘C min−13.0^\circ\text{C min}^{-1}. Assume Newton's law of cooling holds.
Total: 2 marks

(a) Find the proportionality constant kk if rate =k(T−T0)=k(T-T_0). (1 mark)

(b) Find the rate of cooling when the body is at 50∘C50^\circ\text{C}. (1 mark)

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cbse-physics-11.u7.t7-5.saq.004

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