Vibrations of Stretched Strings
ICSE · Class 11 · Physics
Most important questions from Vibrations of Stretched Strings for ICSE Class 11 Physics board exam 2026. MCQs, short answer, and long answer questions with marks.
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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.
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?
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4 times
Frequency varies inversely as the square of the prong length. If length becomes half, frequency becomes 1/(1/2)^2 = 4 times.
A string is 2.0 m long and vibrates in the 5th mode. What is the distance between consecutive nodes?
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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.
If a stretched string under fixed tension has its vibrating length doubled, what happens to its frequency?
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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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