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Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats MCQs for JEE

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Q1PhysicsUnit 10: Oscillations and Waves
Two waves represented by y1=y_{1}= 10sin(2000πt)10 \sin (2000 \pi t) and y2=y_{2}= 10sin(2000πt+π/2)10 \sin (2000 \pi t+\pi / 2) are superimposed at any point at a particular instant. The resultant amplitude is?
Q2PhysicsUnit 10: Oscillations and Waves
In a standing wave, node is a point of
Q3PhysicsUnit 10: Oscillations and Waves
A wave is represented by an equation; Y=Acoskxsinωt,Y=A \cos k x \sin \omega t, then
Q4PhysicsUnit 10: Oscillations and Waves
assertion - The interference of two identical waves moving in same direction produces standing waves. Reason - Various elements of standing waves do not remain in constant phase.
Q5PhysicsUnit 10: Oscillations and Waves
Three waves of equal frequency having amplitudes 10mm,4mm10 m m, 4 m m and 7mm7 m m arrive at a given point with successive phase difference π2.\frac{\pi}{2} . The amplitude of the resulting wave (in mm\mathrm{mm} ) is given by:
Q6PhysicsUnit 10: Oscillations and Waves
If λ1,λ2,λ3\lambda_{1}, \lambda_{2}, \lambda_{3} are the wavelength of the waves giving resonance to the fundamental, first and second overtone modes respectively in a string fixed at both ends. The ratio of the wavelengths λ1:λ2:λ3\boldsymbol{\lambda}_{1}: \boldsymbol{\lambda}_{2}: \boldsymbol{\lambda}_{3} is
Q7PhysicsUnit 10: Oscillations and Waves
If a note xx of unknown frequency produces 8 beats/sec, with a source of 250Hz250 \mathrm{Hz} and 12 beats/sec with a source of 270Hz270 \mathrm{Hz}, the frequency of unknown source will be:
Q8PhysicsUnit 10: Oscillations and Waves
Two stretched wires of same length, diameter and same material are in unison. The tension in one is increased by 2%2 \% and 2 beats per second are heard What was the frequency of the note produced when they were in unison

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