Advanced Study Material for Class 11 Physics: Mechanical Wave in Strings
Access comprehensive study materials and useful resources for Mechanical Wave in Strings using the CBSE Class 11 Physics Mechanical Wave in Strings Solved Examples. Designed to align with the 2026-27 CBSE academic guidelines, these advanced resources help Class 11 Physics students reinforce core concepts beyond standard textbooks.
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Ex.1 A transverse harmonic wave on a string is described by y ( x,t) = 3.0 sin ( 36t + 0.018x + π / 4) Where x, y are in cm and t in sec. The positive direction of x is from left to right.
(i) Is this a travelling or stationary wave ? If is travelling, what are the speed and direction of propagation ?
(ii) What are its amplitude and frequency ?
(iii) What is the initial phase at the origin ?
(iv) What is the distance between two successive crests in the wave ?
Sol. The given equation of a transverse harmonic wave is ,y( x, t ) = 3.0 sin( 36t + 0.018 x+ π /4).....(1)
The standard equation for harmonic waves isy ( x, t ) = a sin 2π /Tt-2πx/λ+φ.....(2)
Ex.2 For the travelling harmonic wave y = 2.0 cos (10t - 0.0080 x + 0.35 ). Where x and y are in cm and t in sec. What is the phase difference between oscillatory motion at two points separated by a distance of
(i) 4 m, (ii) 0.5 m, (iii) A/2 , (iv) 3λ / 4
Sol. The given equation of harmonic waves is , y = 2.0 cos (10 t – 0.0080 x + 0.35).......(1)
The standard equation of harmonic wave is
Ex.3 A simple harmonic wave-train is travelling in a gas in the positive direction of the x-axis. Its amplitude is 2cm, velocity 45metre/sec and frequency 75per sec. Find out the displacement of the particle of the medium at a distance of 135 cm from the origin in the direction of the wave at the instant t = 3 second.
(A) 2cm (B) –2cm (C) –4cm (D) –1cm
Ex. 4 Two particles C and D are executing simple harmonic motion with same amplitude a and same frequency along same straight line. The maximum distance between two particles is
Ex.7 A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If a transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end.
Sol. Given that tension is the string, T = 200 N, length of the string, l = 20 m, mass of the
string = 2.50 kg
∴ (mass/length) of the string,
m = 250. kg/20m = 0.125 kg m–1
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Physics Class 11 Exam Resources: Mechanical Wave in Strings
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Our advanced study package for Mechanical Wave in Strings includes detailed concepts, diagrams, Mind Maps, and explanation of complex topics to ensure Class 11 students learn as per syllabus for 2026 exams.
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