Waves · Physics · MHT CET
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MHT CET 2024 16th May Evening Shift
Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat wave has intensity maximum at $\mathrm{t}=0$...
MHT CET 2024 16th May Evening Shift
A pipe 60 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 2.2 KHz source?
(Speed of sound in air $=330 \...
MHT CET 2024 16th May Evening Shift
A source and listener are both moving towards each other with speed $\frac{\mathrm{V}}{10}$. (where V is speed of sound) If the frequency of sound not...
MHT CET 2024 16th May Evening Shift
Two uniform strings A and B made of steel are made to vibrate under the same tension. If first overtone of A is equal to the second overtone of $B$ an...
MHT CET 2024 16th May Morning Shift
A string is under tension of 180 N and mass per unit length $2 \times 10^{-3} \mathrm{Kg} / \mathrm{m}$. It produces two consecutive resonant frequenc...
MHT CET 2024 16th May Morning Shift
How many times more intense is a 60 dB sound that a 30 dB sound?
MHT CET 2024 15th May Evening Shift
The end correction for the vibrations of air column in a tube of circular cross-section will be more if the tube is
MHT CET 2024 15th May Evening Shift
A wave is given by $Y=3 \sin 2 \pi\left(\frac{t}{0.04}-\frac{x}{0.01}\right)$ where Y is in cm . Frequency of the wave and maximum acceleration will b...
MHT CET 2024 15th May Evening Shift
Velocity of sound waves in air is $330 \mathrm{~m} / \mathrm{s}$. For a particular sound wave in air, path difference of 40 cm is equivalent to phase ...
MHT CET 2024 15th May Evening Shift
A string has mass per unit length of $10^{-6} \mathrm{~kg} / \mathrm{cm}$ The equation of simple harmonic wave produced in it is $\mathrm{Y}=0.2 \sin ...
MHT CET 2024 15th May Morning Shift
The driver of a car travelling with a speed ' $V_1$ ' $\mathrm{m} / \mathrm{s}$ towards a wall sounds a siren of frequency ' $n$ ' Hz. If the velocity...
MHT CET 2024 15th May Morning Shift
An open organ pipe of length ' $l$ ' is sounded together with another open organ pipe of length $\left(l+l_1\right)$ in their fundamental modes. Speed...
MHT CET 2024 15th May Morning Shift
Two progressive waves $Y_1=\sin 2 \pi\left(\frac{t}{0 \cdot 4}-\frac{x}{4}\right)$ and $Y_2=\sin 2 \pi\left(\frac{t}{0 \cdot 4}+\frac{x}{4}\right)$ su...
MHT CET 2024 15th May Morning Shift
When a sonometer wire vibrates in third overtone there are
MHT CET 2024 11th May Evening Shift
Which of the following statements is NOT true?
MHT CET 2024 11th May Evening Shift
If the two waves of same amplitude, having frequencies 340 Hz and 335 Hz , are moving in same direction, then the time interval between two successive...
MHT CET 2024 11th May Evening Shift
The frequency of the third overtone of a pipe of length ' $L_{\mathrm{c}}$ ', closed at one end is same as the frequency of the sixth overtone of a pi...
MHT CET 2024 11th May Evening Shift
A wire of length ' $L$ ' and linear density ' $m$ ' is stretched between two rigid supports with tension ' $T$ '. It is observed that wire resonates i...
MHT CET 2024 11th May Morning Shift
The frequency of two tuning forks A and B are respectively $1.4 \%$ more and $2.6 \%$ less than that of the tuning fork C . When A and B are sounded t...
MHT CET 2024 11th May Morning Shift
A resonance tube closed at one end is of height 1.5 m . A tuning fork of frequency 340 Hz is vibrating above the tube. Water is poured in the tube gra...
MHT CET 2024 11th May Morning Shift
At the poles of earth, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator of earth, for same setting, to produce...
MHT CET 2024 11th May Morning Shift
With what velocity an observer should move relative to a stationary source so that a sound of triple the frequency of source is heard by an observer?...
MHT CET 2024 10th May Evening Shift
The length of a sonometer wire 'AB' is 110 cm . Where should the two bridges be placed from end ' $A$ ' to divide the wire in three segments whose fun...
MHT CET 2024 10th May Evening Shift
Prong of a vibrating tuning fork is in contact with water surface. It produces concentric circular waves on the surface of water. The distance between...
MHT CET 2024 10th May Evening Shift
The end correction for the vibrations of air column in a tube of circular cross-section will be more if the tube is
MHT CET 2024 10th May Evening Shift
Stationary wave is produced along the stretched string of length 80 cm . The resonant frequencies of string are $90 \mathrm{~Hz}, 150 \mathrm{~Hz}$ an...
MHT CET 2024 10th May Morning Shift
The pipe open at both ends and pipe closed at one end have same length and both are vibrating in fundamental mode. Air column vibrating in open pipe h...
MHT CET 2024 10th May Morning Shift
Two sound waves having displacements $x_1=2 \sin (1000 \pi t)$ and $x_2=3 \sin (1006 \pi t)$, when interfere, produce
MHT CET 2024 10th May Morning Shift
When the listener moves towards stationary source with velocity ' $\mathrm{V}_1$ ', the apparent frequency of emitted note is ' $F_1$ '. When observer...
MHT CET 2024 10th May Morning Shift
When the string is stretched between two rigid supports, under certain tension and vibrated
MHT CET 2024 10th May Morning Shift
A musical instrument X produces sound waves of frequency n and amplitude A. Another musical instrument $Y$ produces sound waves of frequency $\frac{n}...
MHT CET 2024 9th May Evening Shift
A stationary wave is formed having 3 nodes along the length of the string 90 cm . The wavelength of the wave is
MHT CET 2024 9th May Evening Shift
The diagram shows the propagation of a progressive wave. A, B, C, D, E are five points on this wave
Which of the following points are in the same sta...
MHT CET 2024 9th May Evening Shift
A string of mass 0.2 Kg is under a tension of 2.5 N . The length of the string is 2 m. A transverse wave starts from one end of the string. The time t...
MHT CET 2024 9th May Evening Shift
A musical instrument ' $P$ ' produces sound waves of frequency ' $n$ ' and amplitude ' $A$ '. Another musical instrument ' $Q$ ' produces sound waves ...
MHT CET 2024 9th May Evening Shift
A sonometer wire is in unison with a tuning fork of frequency ' $n$ ' when it is stretched by a weight of specific gravity ' $d$ '. When the weight is...
MHT CET 2024 9th May Evening Shift
The equations of two waves are given as
$$\begin{aligned}
& y_1=a \sin \left(\omega t+\phi_1\right) \\
& y_2=a \sin \left(\omega t+\phi_2\right)
\end{...
MHT CET 2024 9th May Morning Shift
Two sound waves having same amplitude ' $A$ ' and angular frequency ' $\omega$ ' but having a phase difference of $\left(\frac{\pi}{2}\right)^c$ are s...
MHT CET 2024 9th May Morning Shift
Out of the following musical instruments, which is 'NOT' a percussion instrument?
MHT CET 2024 9th May Morning Shift
When the tension in string is increased by $3 \mathrm{~kg} \omega \mathrm{t}$, the frequency of the fundamental mode increases in the ratio $2: 3$. Th...
MHT CET 2024 9th May Morning Shift
A sonometer wire is stretched by hanging a metal bob, the fundamental frequency of the wire is ' $n_1$ '. When the bob is completely immersed in water...
MHT CET 2024 9th May Morning Shift
A tuning fork of frequency 340 Hz is vibrated just above a tube of 120 cm height. Water is slowly poured in the tube. What is the minimum height of wa...
MHT CET 2024 4th May Evening Shift
A stationery wave is represented by $y=12 \cos \left(\frac{\pi}{6} x\right) \sin (8 \pi t)$, where $x \& y$ are in cm and $t$ in second. The distance ...
MHT CET 2024 4th May Evening Shift
A transverse wave travelling along a stretched string has a speed of $30 \mathrm{~m} / \mathrm{s}$ and a frequency of 250 Hz . The phase difference be...
MHT CET 2024 4th May Evening Shift
A train sounding a whistle of frequency 510 Hz approaches a station at $72 \mathrm{~km} / \mathrm{hr}$. The frequency of the note heard by an observer...
MHT CET 2024 4th May Evening Shift
A set of 28 turning forks is arranged in an increasing order of frequencies. Each fork produces ' $x$ ' beats per second with the preceding fork and t...
MHT CET 2024 4th May Morning Shift
Two waves $\mathrm{Y}_1=0.25 \sin 316 \mathrm{t} \quad$ and $\mathrm{Y}_2=0.25 \sin 310 \mathrm{t}$ are propagating along the same direction. The numb...
MHT CET 2024 4th May Morning Shift
The distance between two consecutive points with phase difference of $60^{\circ}$ in wave of frequency 500 Hz is 0.6 m . The velocity with which wave ...
MHT CET 2024 4th May Morning Shift
A string A has twice the length, twice the diameter, twice the tension and twice the density of another string B. The overtone of A which will have th...
MHT CET 2024 4th May Morning Shift
A progressive wave of frequency 400 Hz is travelling with a velocity $336 \mathrm{~m} / \mathrm{s}$. How far apart are the two points which are $60^{\...
MHT CET 2024 3rd May Evening Shift
The end correction of resonance tube is 1 cm. If the shortest length resonating with a tuning fork is 15 cm , the next resonating length will be...
MHT CET 2024 3rd May Evening Shift
If ' $l$ ' is the length of pipe, ' $r$ ' is the internal radius of the pipe and ' $v$ ' is the velocity of sound in air then fundamental frequency of...
MHT CET 2024 3rd May Evening Shift
A violin emits sound waves of frequency ' $n_1$ ' under tension T. When tension is increased by $44 \%$, keeping the length and mass per unit length c...
MHT CET 2024 3rd May Evening Shift
An observer moves towards a stationary source of sound with a velocity of one-fifth of the velocity of sound. The percentage increase in the apparent ...
MHT CET 2024 3rd May Morning Shift
The path difference between two waves $\mathrm{Y}_1=\mathrm{a}_1 \sin \left(\omega \mathrm{t}-\frac{2 \pi \mathrm{x}}{\lambda}\right)$ and $\mathrm{Y}...
MHT CET 2024 3rd May Morning Shift
The fundamental frequency of an air column in a pipe open at both ends is ' $\mathrm{f}_1$ '. Now $80 \%$ of its length is immersed in water, the fund...
MHT CET 2024 3rd May Morning Shift
The pitch of a whistle of an engine appears to drop by $30 \%$ of original value when it passes a stationary observer. If the speed of sound in air is...
MHT CET 2024 3rd May Morning Shift
The displacement of a wave is given by $y=0.002 \sin (100 t+x)$ where ' $x$ 'and ' $y$ ' are in metre and ' $t$ ' is in second. This represents a wave...
MHT CET 2024 2nd May Evening Shift
In a vibrating string with fixed ends the waves are of type
MHT CET 2024 2nd May Evening Shift
The driver of a car travelling with a speed ' $V_1$ ' $\mathrm{m} / \mathrm{s}$ towards a wall sounds a siren of frequency ' $n$ ' Hz. If the velocity...
MHT CET 2024 2nd May Evening Shift
A stretched string is fixed at both ends. It is made to vibrate so that the total number of nodes formed in it is ' $x$ '. The length of the string in...
MHT CET 2024 2nd May Evening Shift
A sonometer wire is stretched by hanging a metal bob. The fundamental frequency of vibration of wire is ' $n_1$ '. When the bob is completely immersed...
MHT CET 2024 2nd May Morning Shift
Two simple harmonic progressive waves have displacements $\rightarrow \mathrm{y}_1=\mathrm{a}_1 \sin \left(\frac{2 \pi \mathrm{x}}{\lambda}-\omega \ma...
MHT CET 2024 2nd May Morning Shift
A wire under tension 225 N produces 6 beats per second when it is tuned with a fork. When the tension changes to 256 N , it is again tuned with the sa...
MHT CET 2024 2nd May Morning Shift
Velocity of sound waves in air is $330 \mathrm{~m} / \mathrm{s}$. For a particular sound wave in air, path difference of 40 cm is equivalent to phase ...
MHT CET 2024 2nd May Morning Shift
An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column has
MHT CET 2023 14th May Evening Shift
Sound waves of frequency $$600 \mathrm{~Hz}$$ fall normally on a perfectly reflecting wall. The shortest distance from the wall at which all particles...
MHT CET 2023 14th May Evening Shift
A wire $$P Q$$ has length $$4.8 \mathrm{~m}$$ and mass $$0.06 \mathrm{~kg}$$. Another wire QR has length $$2.56 \mathrm{~m}$$ and mass $$0.2 \mathrm{~...
MHT CET 2023 14th May Evening Shift
A sonometer wire $$49 \mathrm{~cm}$$ long is in unison with a tuning fork of frequency '$$n$$'. If the length of the wire is decreased by $$1 \mathrm{...
MHT CET 2023 14th May Evening Shift
A source of sound is moving towards a stationary observer with $$\left(\frac{1}{10}\right)^{\text {th }}$$ the of the speed of sound. The ratio of app...
MHT CET 2023 14th May Morning Shift
A string is stretched between two rigid supports separated by $$75 \mathrm{~cm}$$. There are no resonant frequencies between $$420 \mathrm{~Hz}$$ and ...
MHT CET 2023 14th May Morning Shift
A progressive wave is given by, $$\mathrm{Y}=12 \sin (5 \mathrm{t}-4 \mathrm{x})$$. On this wave, how far away are the two points having a phase diffe...
MHT CET 2023 14th May Morning Shift
The equation of the wave is $$\mathrm{Y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)$$ If the displacement is $$5 \mathrm{~cm}$$ at $$\mat...
MHT CET 2023 14th May Morning Shift
If '$$l$$' is the length of the open pipe, '$$r$$' is the internal radius of the pipe and '$V$ ' is the velocity of sound in air then fundamental freq...
MHT CET 2023 13th May Evening Shift
When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with $$0.97 \mathrm{~m}$$ length of sonometer ...
MHT CET 2023 13th May Evening Shift
The equation of a progressive wave is $$Y=a \sin 2 \pi\left(n t-\frac{x}{5}\right)$$. The ratio of maximum particle velocity to wave velocity is...
MHT CET 2023 13th May Evening Shift
A transverse wave strike against a wall,
MHT CET 2023 13th May Evening Shift
A closed pipe and an open pipe have their first overtone equal in frequency. Then, the lengths of these pipe are in the ratio
MHT CET 2023 13th May Morning Shift
In resonance tube, first and second resonance are obtained at depths $$22.7 \mathrm{~cm}$$ and $$70.2 \mathrm{~cm}$$ respectively. The third resonance...
MHT CET 2023 13th May Morning Shift
A uniform wire $$20 \mathrm{~m}$$ long and weighing $$50 \mathrm{~N}$$ hangs vertically. The speed of the wave at mid point of the wire is (accelerati...
MHT CET 2023 13th May Morning Shift
A passenger is sitting in a train which is moving fast. The engine of the train blows a whistle of frequency '$$n$$'. If the apparent frequency of sou...
MHT CET 2023 12th May Evening Shift
The equation of wave motion is $$Y=5 \sin (10 \pi t -0.02 \pi x+\pi / 3)$$ where $$x$$ is in metre and $$t$$ in second. The velocity of the wave is...
MHT CET 2023 12th May Evening Shift
End correction at open end for air column in a pipe of length '$$l$$' is '$$e$$'. For its second overtone of an open pipe, the wavelength of the wave ...
MHT CET 2023 12th May Evening Shift
A tuning fork gives 3 beats with $$50 \mathrm{~cm}$$ length of sonometer wire. If the length of the wire is shortened by $$1 \mathrm{~cm}$$, the numbe...
MHT CET 2023 12th May Evening Shift
A tuning fork of frequency $$220 \mathrm{~Hz}$$ produces sound waves of wavelength $$1.5 \mathrm{~m}$$ in air at N.T.P. The increase in wavelength whe...
MHT CET 2023 12th May Morning Shift
A uniform string is vibrating with a fundamental frequency '$$n$$'. If radius and length of string both are doubled keeping tension constant then the ...
MHT CET 2023 12th May Morning Shift
The displacement of two sinusoidal waves is given by the equation
$$\begin{aligned}
& \mathrm{y}_1=8 \sin (20 \mathrm{x}-30 \mathrm{t}) \\
& \mathrm{y...
MHT CET 2023 12th May Morning Shift
Two sounding sources send waves at certain temperature in air of wavelength $$50 \mathrm{~cm}$$ and $$50.5 \mathrm{~cm}$$ respectively. The frequency ...
MHT CET 2023 12th May Morning Shift
41 tuning forks are arranged in increasing order of frequency such that each produces 5 beats/second with next tuning fork. If frequency of last tunin...
MHT CET 2023 11th May Evening Shift
A transverse wave in a medium is given by $$y=A \sin 2(\omega t-k x)$$. It is found that the magnitude of the maximum velocity of particles in the med...
MHT CET 2023 11th May Evening Shift
A rectangular block of mass '$$\mathrm{m}$$' and crosssectional area A, floats on a liquid of density '$$\rho$$'. It is given a small vertical displac...
MHT CET 2023 11th May Evening Shift
A sound of frequency $$480 \mathrm{~Hz}$$ is emitted from the stringed instrument. The velocity of sound in air is $$320 \mathrm{~m} / \mathrm{s}$$. A...
MHT CET 2023 11th May Evening Shift
A sonometer wire '$$A$$' of diameter '$$\mathrm{d}$$' under tension '$$T$$' having density '$$\rho_1$$' vibrates with fundamental frequency '$$n$$'. I...
MHT CET 2023 11th May Evening Shift
The path difference between two waves, represented by $$\mathrm{y}_1=\mathrm{a}_1 \sin \left(\omega \mathrm{t}-\frac{2 \pi \mathrm{x}}{\lambda}\right)...
MHT CET 2023 11th May Evening Shift
Two progressive waves are travelling towards each other with velocity $$50 \mathrm{~m} / \mathrm{s}$$ and frequency $$200 \mathrm{~Hz}$$. The distance...
MHT CET 2023 11th May Morning Shift
A string fixed at both the ends forms standing wave with node separation of $$5 \mathrm{~cm}$$. If the velocity of the wave on the string is $$2 \math...
MHT CET 2023 11th May Morning Shift
The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length '$$L$$'. The length of the open pipe will ...
MHT CET 2023 11th May Morning Shift
A car sounding a horn of frequency $$1000 \mathrm{~Hz}$$ passes a stationary observer. The ratio of frequencies of the horn noted by the observer befo...
MHT CET 2023 11th May Morning Shift
A transverse wave $$\mathrm{Y}=2 \sin (0.01 \mathrm{x}+30 \mathrm{t})$$ moves on a stretched string from one end to another end in 0.5 second. If $$x$...
MHT CET 2023 10th May Evening Shift
The fundamental frequency of air column in pipe 'A' closed at one end is in unison with second overtone of an air column in pipe 'B' open at both ends...
MHT CET 2023 10th May Evening Shift
The equation of wave is $$Y=6 \sin$$ $$\left(12 \pi t-0.02 \pi x+\frac{\pi}{3}\right)$$ where '$$x$$' is in $$m$$ and '$$t$$' in $$\mathrm{s}$$. The v...
MHT CET 2023 10th May Evening Shift
Two uniform wires of same material are vibrating under the same tension. If the first overtone of first wire is equal to the $$2^{\text {nd }}$$ overt...
MHT CET 2023 10th May Evening Shift
A uniform rope of length '$$L$$' and mass '$$m_1$$' hangs vertically from a rigid support. A block of mass '$$m_2$$' is attached to the free end of th...
MHT CET 2023 10th May Morning Shift
An open organ pipe having fundamental frequency (n) is in unison with a vibrating string. If the tube is dipped in water so that $$75 \%$$ of the leng...
MHT CET 2023 10th May Morning Shift
In case of a stationary wave pattern which of the following statement is CORRECT?
MHT CET 2023 10th May Morning Shift
If the length of stretched string is reduced by $$40 \%$$ and tension is increased by $$44 \%$$ then the ratio of final to initial frequencies of stre...
MHT CET 2023 10th May Morning Shift
Consider the Doppler effect in two cases. In the first case, an observer moves towards a stationary source of sound with a speed of $$50 \mathrm{~m} /...
MHT CET 2023 9th May Evening Shift
The equation of simple harmonic progressive wave is given by $$y=a \sin 2 \pi(b t-c x)$$. The maximum particle velocity will be half the wave velocity...
MHT CET 2023 9th May Evening Shift
Stationary waves can be produced in
MHT CET 2023 9th May Evening Shift
If the length of an open organ pipe is $$33.3 \mathrm{~cm}$$, then the frequency of fifth overtone is [Neglect end correction, velocity of sound $$=33...
MHT CET 2023 9th May Evening Shift
If the end correction of an open pipe is $$0.8 \mathrm{~cm}$$, then the inner radius of that pipe is
MHT CET 2023 9th May Morning Shift
When both source and listener are approaching each other the observed frequency of sound is given by $$\left(V_L\right.$$ and $$V_S$$ is the velocity ...
MHT CET 2023 9th May Morning Shift
Equation of simple harmonic progressive wave is given by $$y=\frac{1}{\sqrt{a}} \sin \omega t \pm \frac{1}{\sqrt{b}} \cos \omega t$$ then the resultan...
MHT CET 2023 9th May Morning Shift
When a string of length '$$l$$' is divided into three segments of length $$l_1, l_2$$ and $$l_3$$. The fundamental frequencies of three segments are $...
MHT CET 2023 9th May Morning Shift
A closed organ pipe of length '$$L_1$$' and an open organ pipe contain diatomic gases of densities '$$\rho_1$$' and '$$\rho_2$$' respectively. The com...
MHT CET 2022 11th August Evening Shift
A stationary wave is represented by
$$\mathrm{y}=10 \sin \left(\frac{\pi \mathrm{x}}{4}\right) \cos (20 \pi \mathrm{t})$$
where $$\mathrm{x}$$ and $$\...
MHT CET 2022 11th August Evening Shift
Two waves are superimposed whose ratio of intensities is $$9: 1$$. The ratio of maximum and minimum intensity is
MHT CET 2022 11th August Evening Shift
Consider the following statements about stationary waves.
A. The distance between two adjacent nodes or antinodes is equal to $$\frac{\lambda}{2}(\lam...
MHT CET 2022 11th August Evening Shift
A hollow pipe of length $$0.8 \mathrm{~m}$$ is closed at one end. At its open end, a $$0.5 \mathrm{~m}$$ long uniform string is vibrating in its secon...
MHT CET 2021 24th September Evening Shift
A cylindrical tube open at both ends has fundamental frequency 'n' in air. The tube is dipped vertically in water so that one-fourth of it is in water...
MHT CET 2021 24th September Evening Shift
Velocity of sound waves in air is '$$\mathrm{V}$$' $$\mathrm{m} / \mathrm{s}$$. For a particular sound wave in air, path difference of 'x' $$\mathrm{c...
MHT CET 2021 24th September Evening Shift
The length and diameter of a metal wire used in sonometer is doubled. The fundamental frequency will change from 'n' to
MHT CET 2021 24th September Evening Shift
A closed organ pipe and an open organ pipe of same length produce 2 beats per second when they are set into vibrations together in fundamental mode. T...
MHT CET 2021 24th September Morning Shift
A sonometer wire of length 25 cm vibrates in unison with a tuning fork. When its length is decreased by 1 cm, 6 beats are heard per second. What is th...
MHT CET 2021 24th September Morning Shift
Two tuning forks of frequencies $$320 \mathrm{~Hz}$$ and $$480 \mathrm{~Hz}$$ are sounded together to produce sound waves. The velocity of sound in ai...
MHT CET 2021 24th September Morning Shift
When an air column in a pipe open at both ends vibrates such that four antinodes and three nodes are formed, then the corresponding mode of vibration ...
MHT CET 2021 24th September Morning Shift
The wavelength of sound in any gas depends upon
MHT CET 2021 23rd September Evening Shift
A uniform rope of length $$12 \mathrm{~m}$$ and mass $$6 \mathrm{~kg}$$ hangs vertically from the rigid support. A block of mass $$2 \mathrm{~kg}$$ is...
MHT CET 2021 23rd September Evening Shift
What is the effect of pressure on the speed of sound in a medium, if pressure is doubled at constant temperature?
MHT CET 2021 23rd September Evening Shift
Two sound waves having wavelengths $$5.0 \mathrm{~m}$$ and $$5.5 \mathrm{~m}$$ propagates in a gas with velocity 300 $$\mathrm{m} / \mathrm{s}$$. The ...
MHT CET 2021 23rd September Evening Shift
The frequency of a tuning fork is $$220 \mathrm{~Hz}$$ and the velocity of sound in air is $$330 \mathrm{~m} / \mathrm{s}$$. When the tuning fork comp...
MHT CET 2021 23th September Morning Shift
Two waves $$\mathrm{Y}_1=0.25 \sin 316 \mathrm{t}$$ and $$\mathrm{Y}_2=0.25 \sin 310 \mathrm{t}$$ are propagation same direction. The number of beats ...
MHT CET 2021 23th September Morning Shift
Two waves are represented by the equation, $$\mathrm{y}_1=\mathrm{A} \sin (\omega \mathrm{t}+\mathrm{kx}+0.57) \mathrm{m}$$ and $$\mathrm{y}_2=\mathrm...
MHT CET 2021 23th September Morning Shift
The fundamental frequency of an air column in pipe 'A' closed at one end coincides with second overtone of pipe 'B' open at both ends. The ratio of le...
MHT CET 2021 22th September Evening Shift
A tuning fork of frequency '$$n$$' is held near the open end of tube which is closed at the other end and the lengths are adjusted until resonance occ...
MHT CET 2021 22th September Evening Shift
A sound wave of frequency $$160 \mathrm{~Hz}$$ has a velocity of $$320 \mathrm{~m} / \mathrm{s}$$. When it travels through air, the particles having a...
MHT CET 2021 22th September Evening Shift
A glass tube of $$1 \mathrm{~m}$$ length is filled with water. The water can be drained out slowly from the bottom of the tube. If vibrating tuning fo...
MHT CET 2021 22th September Morning Shift
A sound wave is travelling with a frequency of $$50 \mathrm{~Hz}$$. The phase difference between the two points in the path of a wave is $$\frac{\pi}{...
MHT CET 2021 22th September Morning Shift
A transverse wave given by $$y=2 \sin (0.01 x+30 t)$$ moves on a stretched string from one end to another end in 0.5 second. If '$$x$$' and '$$y$$' ar...
MHT CET 2021 22th September Morning Shift
A pipe open at both ends of length 1.5 m is dipped in water such that the second overtone of vibrating air column is resonating with a tuning fork of ...
MHT CET 2021 22th September Morning Shift
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of $$9 \mathrm{~kg}...
MHT CET 2021 21th September Evening Shift
Equation of two simple harmonic waves are given by $${Y_1} = 2\sin 8\pi \left( {{t \over {0.2}} - {x \over 2}} \right)m$$ and $${Y_2} = 4\sin 8\pi \le...
MHT CET 2021 21th September Evening Shift
A pipe closed at one end has length $$0.8 \mathrm{~m}$$. At its open end $$0.5 \mathrm{~m}$$ long uniform string is vibrating in its $$2^{\text {nd }}...
MHT CET 2021 21th September Evening Shift
The equation of simple harmonic wave produced in the string under tension $$0.4 \mathrm{~N}$$ is given by $$\mathrm{y=4 \sin (3 x+60 t) ~m}$$. The mas...
MHT CET 2021 21th September Morning Shift
A closed organ pipe of length '$$\mathrm{L}_c$$' and an open organ pipe of length '$$\mathrm{L}_{\mathrm{o}}$$' contain different gases of densities '...
MHT CET 2021 21th September Morning Shift
A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at a given time interval of 0.01 secon...
MHT CET 2021 21th September Morning Shift
A simple harmonic progressive wave is given by $$Y=Y_0 \sin 2 \pi\left(n t-\frac{x}{\lambda}\right)$$. If the wave velocity is $$\left(\frac{1}{8}\rig...
MHT CET 2021 21th September Morning Shift
In fundamental mode, the time required for the sound wave to reach upto the closed end of pipe filled with air is $$t$$ second. The frequency of vibra...
MHT CET 2021 20th September Evening Shift
Which one of the following statements is true?
MHT CET 2021 20th September Evening Shift
Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundamental frequency of an air colum...
MHT CET 2021 20th September Evening Shift
An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz for various lengths. Which o...
MHT CET 2021 20th September Evening Shift
Beats are produced by waves $$\mathrm{y_1=a\sin2000\pi t}$$ and $$\mathrm{y_2=a\sin2008\pi t}$$. The number of beats heard per second is
MHT CET 2021 20th September Morning Shift
The frequencies of three tuning forks $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are related as $$\mathrm{n}_{\mathrm{A}}>\mathrm{n}_{\mathrm{B}}>\...
MHT CET 2021 20th September Morning Shift
The equation of wave is given by $$\mathrm{y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)$$. If the displacement is $$5 \mathrm{~cm}$$ at ...
MHT CET 2021 20th September Morning Shift
A sonometer wire resonates with 4 antinodes between two bridges for a given tuning fork, when 1 kg mass is suspended from the wire. Using same fork, w...
MHT CET 2021 20th September Morning Shift
Two wires of same material of radius 'r' and '2r' respectively are welded together end to end. The combination is then used as a sonometer wire under ...
MHT CET 2021 20th September Morning Shift
The frequency of a tuning fork is 'n' Hz and velocity of sound in air is 'V' m/s. When the tuning fork completes 'x' vibrations, the distance travelle...
MHT CET 2020 19th October Evening Shift
A tuning fork $A$ produces 5 beats per second with a tuning fork of frequency 480 Hz . When a little wax is stuck to a prong of fork $A$, the number o...
MHT CET 2020 19th October Evening Shift
At the poles, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator, for same setting to produce resonance with sam...
MHT CET 2020 19th October Evening Shift
A uniform metal wire has length $L$, mass $M$ and density $\rho$. It is under tension $T$ and $v$ is the speed of transverse wave along the wire. The ...
MHT CET 2020 19th October Evening Shift
The fundamental frequency of a closed pipe is 400 Hz . If $\frac{1}{3}$ rd pipe is filled with water, then the frequency of 2nd harmonic of the pipe w...
MHT CET 2020 16th October Evening Shift
A sonometer wire under suitable tension having specific gravity $$\rho$$, vibrates with frequency $$n$$ in air. If the load is completely immersed in ...
MHT CET 2020 16th October Evening Shift
An obstacle is moving towards the source with velocity $$v$$. The sound is reflected from the obstacle. If $$c$$ is the speed of sound and $$\lambda$$...
MHT CET 2020 16th October Evening Shift
An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pi...
MHT CET 2020 16th October Evening Shift
When tension $$T$$ is applied to a sonometer wire of length $$I$$, it vibrates with the fundamental frequency $$n$$. Keeping the experimental setup sa...
MHT CET 2020 16th October Morning Shift
The extension in a wire obeying Hooke's law is $$x$$. The speed of sound in the stretched wire is $$v$$. If the extension in the wire is increased to ...
MHT CET 2020 16th October Morning Shift
Two waves $$Y_1=0.25 \sin 316 t$$ and $$Y_2=0.25 \sin 310 t$$ are propagating along the same direction. The number of beats produced per second are...
MHT CET 2020 16th October Morning Shift
Two identical strings of length $$l$$ and $$2l$$ vibrate with fundamental frequencies $$\mathrm{N} \mathrm{~Hz}$$ and $$1.5 N$$ Hz, respectively. The ...
MHT CET 2020 16th October Morning Shift
When open pipe is closed from one end third overtone of closed pipe is higher in frequency by $$150 \mathrm{~Hz}$$, then second overtone of open pipe....
MHT CET 2019 3rd May Morning Shift
A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their $P^{\text {th }}$ overtone is
MHT CET 2019 3rd May Morning Shift
The fundamental frequency of sonometer wire increases by 9 Hz , if its tension is increased by $69 \%$, keeping the length constant. The frequency of ...
MHT CET 2019 3rd May Morning Shift
A sonometer wire is in unison with a tuning fork, when it is stretched by weight $w$ and the corresponding resonating length is $L_4$. If the weight i...
MHT CET 2019 3rd May Morning Shift
For formation of beats, two sound notes must have
MHT CET 2019 2nd May Evening Shift
A stretched string fixed at both ends has ' $m$ ' nodes, then the length of the string will be
MHT CET 2019 2nd May Evening Shift
A stretched wire of length 260 cm is set into vibrations. It is divided into three segments whose frequencies are in the ratio $2: 3: 4$. Their length...
MHT CET 2019 2nd May Evening Shift
A simple harmonic progressive wave is represented as $y=0.03 \sin \pi(2 t-0.01 x) \mathrm{m}$. At a given instant of time, the phase difference betwee...
MHT CET 2019 2nd May Evening Shift
Find the wrong statement from the following about the equation of stationary wave given by $Y=0.04 \cos (\pi x) \sin (50 \pi t) \mathrm{m}$ where $t$ ...
MHT CET 2019 2nd May Morning Shift
Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' $n_1$ ', and ' $n_2$ ' respectiv...
MHT CET 2019 2nd May Morning Shift
The equation of simple harmonic progressive wave is given by $Y=a \sin 2 \pi(b t-c x)$.
The maximum particle velocity will be twice the wave velocity ...
MHT CET 2019 2nd May Morning Shift
In a fundamental mode,the time required for the sound wave to reach upto the closed end of a pipe filled with air is ' $t$ ' second. The frequency of ...
MHT CET 2019 2nd May Morning Shift
A transverse wave is propagating on the string. The linear density of a vibrating string is $10^{-3} \mathrm{~kg} / \mathrm{m}$. The equation of the w...