Long answer·Standard multi-step (3/5)·Calculator allowed

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 string of length 1.0 m1.0\text{ m} is fixed at both ends. The tension is 100 N100\text{ N} and its linear mass density is 0.010 kg m10.010\text{ kg m}^{-1}.
Total: 4 marks

(a) Find the wave speed on the string. (1 mark)

(b) Find the fundamental frequency. (1 mark)

(c) Find the second and third harmonic frequencies. (1 mark)

(d) State the number of nodes in the third harmonic including the ends. (1 mark)

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cbse-physics-11.u10.t10-4.laq.004

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