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Vibrations of Stretched Strings

ICSE · Class 11 · Physics

Quick revision notes for Vibrations of Stretched Strings — ICSE Class 11 Physics. Key concepts, formulas, and definitions for last-minute revision.

53 questions32 flashcards5 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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Key Topics to Revise

1

1. Stretched String and Wave Speed

  • A string is a wire or fibre of uniform diameter and is perfectly flexible, with no rigidity.
  • A wire clamped at both ends and plucked in the middle produces transverse progressive waves that travel towards both ends.
  • The speed of transverse waves on a stretched wire depends on tension T and mass per unit length m.
2

2. Laws of Vibrations of Stretched Strings

  • Law of Length: for a given string under a given tension, frequency varies inversely as vibrating length.
  • Law of Tension: for a uniform string of given length and material, frequency varies directly as the square-root of tension.
  • Law of Mass: for a given tension and vibrating length, frequency varies inversely as the square-root of mass per unit length.
3

3. Standing Waves and Modes of Vibration

  • A wave moving on the string reflects at the fixed end with a phase change of pi.
  • Superposition of incident and reflected waves produces a stationary wave.
  • The resultant equation is not a travelling wave because its argument is not of the form vt ± x.
4

4. Positions of Nodes and Antinodes

  • In the pth mode, there are p + 1 nodes.
  • Nodes are at x = 0, l/p, 2l/p, 3l/p, ..., l.
  • Antinodes are at x = l/(2p), 3l/(2p), 5l/(2p), ..., (2p - 1)l/(2p).

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Full Notes

Key Concepts

A string is a wireThe speed of a transverse waveFor a wire clamped at bothFor a given string underFor a uniform string of given

Frequently Asked Questions

What are the important topics in Vibrations of Stretched Strings for ICSE Class 11 Physics?
Vibrations of Stretched Strings covers several key topics that are frequently asked in ICSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Vibrations of Stretched Strings — ICSE Class 11 Physics?
Understand the core concepts first, then work through the 53 practice questions available for this chapter. Revise formulas and 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.

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