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Vibrations of Stretched Strings — Practice Quiz

ICSE · Class 11 · Physics

Try a 4-question quiz on Vibrations of Stretched Strings for ICSE Class 11 Physics: tap an answer to check it and see why.

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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Quick Quiz: Vibrations of Stretched Strings

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1

A string of length 2.4 m clamped at both ends vibrates in the 3rd mode. What is its wavelength?

2

A stretched wire of length 1.5 m vibrates in 2 segments. If the wave speed is 180 m/s, what is the frequency of vibration?

3

A wire produces a fundamental frequency of 80 Hz. What are the frequencies of its first and second overtones?

4

A stretched string has length 3.0 m and vibrates in 4 segments. How many nodes are formed?

53 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

In the 2nd mode of a string of length 1.2 m, where are the antinodes located from one end?

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0.3 m and 0.9 m

For p = 2, antinodes are at x = l/4 and 3l/4. With l = 1.2 m, these are 1.2/4 = 0.3 m and 3 × 1.2/4 = 0.9 m.

2multiple choice
3 marks

A tuning fork has frequencies that vary inversely as the square of prong length. If the prong length is reduced to half, by what factor does the frequency increase?

Show answer

4 times

Frequency varies inversely as the square of the prong length. If length becomes half, frequency becomes 1/(1/2)^2 = 4 times.

3multiple choice
3 marks

A string is 2.0 m long and vibrates in the 5th mode. What is the distance between consecutive nodes?

Show answer

0.4 m

In the pth mode, consecutive nodes are separated by l/p. Here l = 2.0 m and p = 5, so spacing = 2.0/5 = 0.4 m. This is also equal to λ/2.

4multiple choice
3 marks

If a stretched string under fixed tension has its vibrating length doubled, what happens to its frequency?

Show answer

It becomes half

By the law of length, n ∝ 1/l when tension and mass per unit length are constant. So doubling l makes n half.

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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 many practice questions are there for Vibrations of Stretched Strings?
There are 53 questions on Vibrations of Stretched Strings. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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