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Numerical

JEE Advanced 2023 Paper 2 Online
A string of length $1 \mathrm{~m}$ and mass $2 \times 10^{-5} \mathrm{~kg}$ is under tension $T$. When the string vibrates, two successive harmonics a...
JEE Advanced 2023 Paper 2 Online
When only $S_2$ is emitting sound and it is at $Q$, the frequency of sound measured by the detector in $\mathrm{Hz}$ is _________.
JEE Advanced 2023 Paper 2 Online
Consider both sources emitting sound. When $S_2$ is at $R$ and $S_1$ approaches the detector with a speed $4 \mathrm{~m} \mathrm{~s}^{-1}$, the beat f...
JEE Advanced 2020 Paper 1 Offline
A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of 2 ms−1 in front of the open end of ...
JEE Advanced 2019 Paper 1 Offline
A train S1, moving with a uniform velocity of 108 km/h, approaches another train S2 standing on a platform. An observer O moves with a uniform velocit...
JEE Advanced 2018 Paper 1 Offline
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed $$1.0\,m{s^{ - 1}}$$ and the man behind ...
JEE Advanced 2017 Paper 1 Offline
A stationary source emits sound of frequency $${f_0} = 492\,Hz.$$ The sound is reflected by a large car approaching the source with a speed of $$2\,m{...
JEE Advanced 2015 Paper 2 Offline
Four harmonic waves of equal frequencies and equal intensities I0 have phase angles 0, $${\pi \over 3},{{2\pi } \over 3}$$ and $$\pi$$. When they are...
IIT-JEE 2010 Paper 1 Offline
A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching the source. The difference between the frequ...
IIT-JEE 2010 Paper 1 Offline
When two progressive waves $${y_1} = 4\sin (2x - 6t)$$ and $${y_2} = 3\sin \left( {2x - 6t - {\pi \over 2}} \right)$$ are superimposed, the amplitude...
IIT-JEE 2009 Paper 2 Offline
A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends. The tension in the string is 0.5 N. The string is set into vibrations using an...

MCQ (More than One Correct Answer)

JEE Advanced 2021 Paper 2 Online
A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound of frequency fs. The farther end of the ...
JEE Advanced 2018 Paper 2 Offline
In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency $$500$$ $$Hz$$ is used. The length of the air co...
JEE Advanced 2017 Paper 1 Offline
A block $$M$$ hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to fixed rigi...
JEE Advanced 2016 Paper 1 Offline
Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car in initially at a point P, 1800 m ...
JEE Advanced 2014 Paper 1 Offline
One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 ms$$-$$1. The other end of the ...
JEE Advanced 2014 Paper 1 Offline
A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s$$-$$1. He is told that the air in the tube has bee...
JEE Advanced 2013 Paper 2 Offline
Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the road with velocity w. On...
JEE Advanced 2013 Paper 1 Offline
A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation y(x, t) = (0.01 m) sin[(62.8 m$$-$$1)x]...
IIT-JEE 2009 Paper 2 Offline
Under the influence of the Coulomb field of charge +Q, a charge $$-$$q is moving around it in an elliptical orbit. Find out the correct statement(s):...

MCQ (Single Correct Answer)

JEE Advanced 2019 Paper 2 Offline
A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length $$\mu $$, 2$$\mu $$, 3$$\mu $$ and 4$$\mu $$ ...
JEE Advanced 2019 Paper 2 Offline
A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length $$\mu $$, 2$$\mu $$, 3$$\mu $$ and 4$$\mu $$ ...
IIT-JEE 2012 Paper 2 Offline
A student is performing the experiment of resonance Column. The diameter of the column tube is 4 cm. The frequency of the tuning fork is 512 Hz. The a...
IIT-JEE 2011 Paper 1 Offline
A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The spee...
IIT-JEE 2011 Paper 2 Offline
Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural frequency of a system is called its ...
IIT-JEE 2010 Paper 2 Offline
A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in its second harmonic and it resonates w...
IIT-JEE 2008 Paper 2 Offline
A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the waves is 0.5 m and its ampl...
IIT-JEE 2008 Paper 2 Offline
A vibrating string of certain length 1 under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column o...
IIT-JEE 2007 Paper 2 Offline
In the experiment to determine the speed of sound using a resonance column,
IIT-JEE 2007 Paper 2 Offline
The speed of sound of the whistle is
IIT-JEE 2007 Paper 2 Offline
The distribution of the sound intensity of the whistle as observed by the passengers in train $$\mathrm{A}$$ is best represented by
IIT-JEE 2007 Paper 2 Offline
The spread of frequency as observed by the passengers in train B is
IIT-JEE 2007 Paper 2 Offline
Column I describe some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situation in Col...
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