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Long answer·Hard exam skill (4/5)·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

Two waves travelling in opposite directions on the same string are y1=Asin⁡(ωt−kx)y_1=A\sin(\omega t-kx) and y2=Asin⁡(ωt+kx)y_2=A\sin(\omega t+kx).
Total: 4 marks

(a) Use superposition to write the resultant displacement. (2 marks)

(b) Identify the positions of nodes. (1 mark)

(c) Explain why the pattern does not travel along the string. (1 mark)

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cbse-physics-11.u10.t10-4.laq.009

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