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Hard 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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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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