Waves PYQs - Last 10 Years

A sound wave of frequency 500 Hz travels between two points $X$ and $Y$ separated by a distance of 600 m in a time of 2 s . The number of waves between the points $X$ and $Y$ are

When both source of sound and observer approach each other with a speed equal to $10 \%$ of the speed of sound, then the percentage change in frequency heard by the observer is nearly

The equation of a transverse wave propagating along a stretched string of length 80 cm is $y=1.5 \sin \left\{\left(5 \times 10^{-3} x\right)+20 t\right\}$, here ' $x$ ' and ' $y$ ' are in cm and the time ' $t$ ' is in second. If the mass of...

The path difference between two waves given by the equations
$y_1=a_1 \sin \left(\omega t-\frac{2 \pi x}{\lambda}\right)$ and $y_2=a_2 \sin \left(\omega t-\frac{2 \pi x}{\lambda}+\phi\right)$ is

If a travelling wave is given by $y(x, t)=0.5 \sin (70.1 x-10 \pi t)$, where $x$ and $y$ are in metre the time $t$ is in second, then the frequency of the wave is

In a closed organ pipe, the number of nodes formed in fifth and ninth harmonics are respectively

If two progressive sound waves represented by $y_1=3 \sin 250 \pi t$ and $y_2=2 \sin 260 \pi t$ (where displacement is in metre and time is in second) superimpose, then the time interval between two successive maximum intensities is

A steel wire of length 81 cm has a mass of $5 \times 10^{-3} \mathrm{~kg}$.
If the wire is under a tension of 50 N , then the speed of transverse waves on the wire is

When a stretched wire of fundamental frequency $f$ is divided into three segments, the fundamental frequencies of these three segments are $f_1, f_2$ and $f_3$ respectively. Then the relation among $f_1, f_2, f_3$ and $f$ is (Assume tension...

The speed of a stationary wave represented by the equation
\(y=0.7 \sin \left(\frac{7 \pi}{4} x\right) \cos (350 \pi t) \text { is }\)
(In the given equation $x$ and $y$ are in metre and $t$ is in second)

Two sound waves of wavelengths 99 cm and 100 cm produce 10 beats in a time of $t$ seconds. If the speed of sound in air is $330 \mathrm{~ms}^{-1}$, then the value of $t$ in seconds is

The frequency of fifth harmonic of a closed organ pipe is equal to the frequency of third harmonic of an open organ pipe. If the length of the open pipe is 72 cm , then length of the closed organ pipe is

The vibrations of four air columns are shown below. The ratio of frequencies is

The fundamental frequency of an open pipe is 100 hz If the bottom end of the pipe is closed and $1 / 3$ rd of the pipe is filled with water, then the fundamental frequency of the pipe is

A car sounding a horn of frequency 1000 Hz passes a stationary observer. The ratio of frequen'ies of the horn noted by the observer before and after passing of the car is $11: 9$. The speed of car is (speed of sound $v=340 \mathrm{~ms}^{-1...

When a wave enters into a rarer medium from a denser medium, the property of the wave which remains constant is

If the frequency of a wave is increased by $25 \%$, then the change in its wavelength is (medium not changed)

A pipe with 30 cm length is open at both ends. Which harmonic mode of the pipe resonates with the 1.65 kHz source? (Velocity of sound in air $=330 \mathrm{~ms}^{-1}$ )

The speed of a wave on a string is $150 \mathrm{~ms}^{-1}$ when the tension is 120 N . The percentage increase in the tension in order to raise the wave speed by $20 \%$ is

Two stretched strings $A$ and $B$ when vibrated together produce 4 beats per second. If the tension applied to the string $A$ increased. The number of beats produced per second is increased to 7. If the frequency of string $B$ is 480 Hz ini...

Small amplitude progressive wave in a stretched string has a speed of $100 \mathrm{cms}^{-1}$ and frequency 100 Hz . The phase difference between two points 2.75 cm apart on the string in radians, is

A string of length $L$ is stretched by $L / 20$ and the speed of transverse waves along it is $v$. The speed of wave when it is stretched by $L / 10$ will be
(assume that Hooke's law is applicable)

Two cars are moving towards each other at the speed of \(50 \mathrm{~ms}^{-1}\). If one of the cars blows a horn at a frequency of 250 Hz , the wave length of the sound perceived by the driver of the other car is
(Speed of sound in air $$=3...

A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\))

Speed of sound in air near room temperature is approximately

A string fixed at both ends vibrate in 5 loops
as shown in the figure. The total number of
nodes and anti-nodes respectively are

Two waves are represented by
\(x_1=A \sin \left(\omega t+\frac{\pi}{6}\right) \text { and } x_2=A \cos \omega t \text {. }\)
Then, the phase difference between them is

The sources of sound A and B produce a
wave of 350 Hz in same phase. A particle P is
vibrating under an influence of these two
waves. If the amplitudes at P produced by the
two waves is 0.3 mm and 0.4 mm, the
resultant amplitude of the poin...

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