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Vibrations of Stretched Strings — Chapter Summary

ICSE · Class 11 · Physics

Summary of Vibrations of Stretched Strings for ICSE Class 11 Physics. Part of the ICSE Class 11 Physics syllabus.

53 questions32 flashcards19 formulas & key relations5 concepts

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Diagram of a string fixed at both ends vibrating in its fundamental mode (first harmonic), showing one loop, two nodes at the fixed ends, and one antinode at the center. The wavelength is twice the st
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Overview

A stretched string or wire of uniform diameter and perfect flexibility produces transverse stationary waves when plucked. The wire is fixed at both ends, so nodes form at the ends and the string vibrates in definite modes. The frequency depends on vibrating length, tension, and mass per unit length.

Key Concepts

A string is a wire

A string is a wire or fibre of uniform diameter and no rigidity. When fixed at both ends and plucked, it can support transverse stationary waves.

The speed of a transverse wave

The speed of a transverse wave on a wire is v = √(T/m), where T is tension and m is mass per unit length.

For a wire clamped at both

For a wire clamped at both ends, n = v/(2l) = (1/2l)√(T/m), where l is the vibrating length.

For a given string under

For a given string under a given tension, frequency varies inversely as vibrating length: n ∝ 1/l, or nl = constant.

For a uniform string of given

For a uniform string of given length and material, frequency varies directly as the square root of tension: n ∝ √T.

Learning Objectives

  • Understand how transverse waves travel on a stretched string and form stationary waves.
  • Use the relation v = √(T/m) for wave speed on a wire.
  • Find the frequency of a stretched string using n = (1/2l)√(T/m).
  • Apply the laws of length, tension, and mass for vibrating strings.
  • Identify fundamental tone, overtones, harmonics, nodes, and antinodes.

Frequently Asked Questions

What are the important topics in Vibrations of Stretched Strings for ICSE Class 11 Physics?
Key topics in Vibrations of Stretched Strings include Stretched String and Wave Speed, Laws of Vibrations of Stretched Strings, Standing Waves and Modes of Vibration, Positions of Nodes and Antinodes. Study these first, then practise questions on each for Class 11 exams.
How should I revise Vibrations of Stretched Strings for Class 11 exams?
Learn the core ideas first, then work through the 53 practice questions on Vibrations of Stretched Strings. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Vibrations of Stretched Strings

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