1
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
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 column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length $$50.7$$ $$cm$$ and $$83.9$$ $$cm.$$ Which of the following statements is (are) true?
A
The speed of second determined from this experiment is $$332\,m{s^{ - 1}}$$
B
The end correction in this experiment is $$0.9$$ $$cm$$
C
The wavelength of the sound wave is $$66.4$$ $$cm$$
D
The resonance at $$50.7$$ $$cm$$ corresponds to the fundamental harmonic
2
JEE Advanced 2017 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
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 rigid support at $$O.$$ A transverse wave pulse (Pulse 1) of wavelength $${\lambda _0}$$ is produced at point $$O$$ on the rope. The pulse takes time $${T_{OA}}$$ to reach point $$A.$$ If the wave pulse of wavelength $${\lambda _0}$$ is produced at point $$A$$ (Pulse 2) without disturbing the position of $$M$$ it takes time $${T_{AO}}$$ to reach point $$O.$$ which of the following options is/are correct? A
The time $${T_{AO}} = {T_{OA}}$$
B
The velocities of the two pulses (Pulse 1 and Pulse 2) are the same at the midpoint of rope
C
The wavelength of Pulse 1 becomes longer when it reaches point $$A$$
D
The velocity of any pulse along the rope is independent of its frequency and wavelength
3
JEE Advanced 2016 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
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 away from the midpoint Q of the line MN and moves towards Q constantly at 60 km/h along the perpendicular bisector of MN. It crosses Q and eventually reaches a point R, 1800 m away from Q.

Let v(t) represent the beat frequency measured by a person sitting in the car at time t. Let vP, vQ and vR be the beat frequencies measured at locations P, Q and R respectively. The speed of sound in air is 330 ms$$-$$1. Which of the following statement(s) is (are) true regarding the sound heard by the person?
A
The plot below represents schematically the variation of beat frequency with time B
The rate of change in beat frequency is maximum when the car passes through Q
C
vP + vR = 2vQ
D
The plot below represents schematically the variations of beat frequency with time 4
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
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 string is vibrating in the y-direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary wave is (are)
A
$$y(t) = A\sin {{\pi x} \over 6}\cos {{50\pi t} \over 3}$$
B
$$y(t) = A\sin {{\pi x} \over 3}\cos {{100\pi t} \over 3}$$
C
$$y(t) = A\sin {{5\pi x} \over 6}\cos {{250\pi t} \over 3}$$
D
$$y(t) = A\sin {{5\pi x} \over 2}\cos 250\pi t$$
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