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

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1.Core idea: Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats
2.Relates to other subtopics in Oscillations and Waves
3.SHM equation, phase, spring and pendulum
4.Energy in SHM, resonance
5.Master Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats definitions and standard results
6.Solve 20 timed MCQs for Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats

Syllabus context

Part of Oscillations and Waves in JEE Main Physics.

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Q1PhysicsUnit 10: Oscillations and Waves

Two waves represented by

y_{1}=

10 \sin (2000 \pi t)

and

y_{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=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

10 m m, 4 m m

and

7 m m

arrive at a given point with successive phase difference

\frac{\pi}{2} .

The amplitude of the resulting wave (in

\mathrm{mm}

) is given by:

Q6PhysicsUnit 10: Oscillations and Waves

\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

\boldsymbol{\lambda}_{1}: \boldsymbol{\lambda}_{2}: \boldsymbol{\lambda}_{3}

Q7PhysicsUnit 10: Oscillations and Waves

If a note

x

of unknown frequency produces 8 beats/sec, with a source of

250 \mathrm{Hz}

and 12 beats/sec with a source of

270 \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 \%

and 2 beats per second are heard What was the frequency of the note produced when they were in unison

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