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A plane wave, $y = A sin ω (- \frac{x}{v})$ undergoes a normal incidence on a plane boundary separating medium $M_{1}$ and $M_{2}$ and splits into a reflected and transmitted wave having speeds $v_{1}$ and $v_{2}$ then

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Important Questions on Waves

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

The amplitude and frequency of two waves is same which are from two different sources, overlap at a point. The ratio of intensity when two waves arrive

(\frac{π}{2})

out of phase to when they arrive in phase is

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelength of each progressive wave is

λ

. The wavelength of the stationary wave is

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

Sound waves from a loudspeaker reach a point

P

via two paths which differ in length by

1.8 m

. When the frequency of sound is gradually increased, the resultant intensity at

P

is found to be maximum the frequency is

1000 Hz

. At what next higher frequency will a maximum be detected?
(velocity of sound

= 360 m / s)

MEDIUM

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two simple harmonic motions are represented by the equations

x_{1} = 5 \sin (2 π t + \frac{π}{4})

and

x_{2} = 5 \sqrt{2} (\sin 2 π t + \cos 2 π t) .

The amplitude of the second motion is _____ times the amplitude in the first motion.

HARD

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two loudspeakers

M

and

N

are located

20 m

apart and emit sound at frequencies

118 Hz

and

121 Hz

, respectively. A car is initially at a point

P

1800 m

away from the midpoint

Q

of the line

M N

and moves towards

Q

constantly at

60 km h^{- 1}

along the perpendicular bisector of

M N

. It crosses

Q

and eventually reaches a point

R

1800 m

away from

Q

. Let

ν (t)

represent the beat frequency measured by a person sitting in the car at time

t

. Let

ν_{p}, ν_{Q} and ν_{R}

be the beat frequencies measured at locations

P, Q

and

R

, respectively. The speed of sound in air is

330 m s^{- 1} .

Which of the following statement(s) is (are) true regarding the sound heard by the person?

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two waves of the same kind and of the same amplitude

A

superpose at a point with a phase difference of

φ

between them. Find the resultant amplitude (R).

HARD

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two identical coherent sound sources $R$ and $S$ with frequency $f$ are $5 m$ apart. An observer standing equidistant from the source and at a perpendicular distance of $12 m$ from the line $R S$ hears maximum sound intensity.

When he moves parallel to $R S$ , the sound intensity varies and is a minimum when he comes directly in front of one of the two sources. Then, a possible value of $f$ is close to (the speed of sound is $330 m / s$ )

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

The equations of two waves are given by :

$y_{1} = 5 \sin 2 π (x - v t) cm$

$y_{2} = 3 \sin 2 π (x - v t + 1.5) cm$

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

MEDIUM

Physics>Oscillations and Waves>Waves>Reflection of Waves

If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by

MEDIUM

Physics>Oscillations and Waves>Waves>Reflection of Waves

Three harmonic waves having equal frequency

v

and same intensity

I_{0}

, have phase angles

0, \frac{π}{4}

and

- \frac{π}{4}

respectively. When they are superimposed the intensity of the resultant wave is close to:

MEDIUM

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two waves are simultaneously passing through a string and their equations are :

y_{1} = A_{1} \sin k (x - v t), y_{2} = A_{2} \sin k (x - v t + x_{0}) .

Given amplitudes

A_{1} = 12 mm

and

A_{2} = 5 mm

x_{0} = 3.5 cm

and wave number

k = 6.28 {cm}^{- 1} .

The amplitude of resulting wave will be _____

mm .

MEDIUM

Physics>Oscillations and Waves>Waves>Reflection of Waves

Explain the reflection of transverse and longitudinal waves from a denser medium and rarer medium.

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two light beams of intensities in the ratio of

9 : 4

are allowed to interfere. The ratio of the intensity of maxima and minima will be :

MEDIUM

Physics>Oscillations and Waves>Waves>Reflection of Waves

Three sinusoidal waves with the same angular frequency but with different amplitudes

A, \frac{A}{2}, \frac{A}{3}

and phase angles

0, \frac{π}{2}

and

π

respectively move along the same direction and superpose with each other. The amplitude of the resultant wave is given by

HARD

Physics>Oscillations and Waves>Waves>Reflection of Waves

The interference pattern is obtained with two coherent light sources of intensity ratio

4 : 1

. And the ratio

\frac{I_{\max} + I_{\min}}{I_{\max} - I_{\min}}

\frac{5}{x}

. Then, the value of

x

will be equal to :

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the

\sqrt{3}

times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

Two harmonic travelling waves are described by the equations

y_{1} = a \sin (k x - ω t)

and

y_{2} = a \sin (- k x + ω t + ϕ)

The amplitude of the superposed wave is

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

The maximum transverse velocity and maximum transverse acceleration of a harmonic wave in a

o n e - d i m e n s i o n a l

string are

1 m s^{- 1}

and

1 m s^{- 2}

respectively. The phase velocity of the wave is

1 m s^{- 1}

. The waveform is

EASY

Physics>Oscillations and Waves>Waves>Reflection of Waves

A wave is reflected from a rigid support. The change in the phase of the reflected wave will be

HARD

Physics>Oscillations and Waves>Waves>Reflection of Waves

Incident wave $y = A \sin (ax + bt + \frac{π}{2})$ is reflected by an obstacle at $x = 0$ which reduces intensity of reflected wave by $36 % .$ Due to superposition, the resulting wave consists of a standing wave and a travelling wave given by $y = - 1.6 sinax sinbt + cA \cos (bt + ax)$ where $A, a, b$ and c are positive constants.

Value of $c$ is

A plane wave, y=Asinω-xv undergoes a normal incidence on a plane boundary separating medium M1 and M2 and splits into a reflected and transmitted wave having speeds v1 and v2 then

Important Questions on Waves

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A plane wave, $y = A sin ω (- \frac{x}{v})$ undergoes a normal incidence on a plane boundary separating medium $M_{1}$ and $M_{2}$ and splits into a reflected and transmitted wave having speeds $v_{1}$ and $v_{2}$ then