1
JEE Advanced 2024 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language

Two uniform strings of mass per unit length $\mu$ and $4 \mu$, and length $L$ and $2 L$, respectively, are joined at point $\mathrm{O}$, and tied at two fixed ends $\mathrm{P}$ and $\mathrm{Q}$, as shown in the figure. The strings are under a uniform tension $T$. If we define the frequency $v_0=\frac{1}{2 L} \sqrt{\frac{T}{\mu}}$, which of the following statement(s) is(are) correct?

JEE Advanced 2024 Paper 1 Online Physics - Waves Question 2 English
A
With a node at $\mathrm{O}$, the minimum frequency of vibration of the composite string is $v_0$.
B
With an antinode at $\mathrm{O}$, the minimum frequency of vibration of the composite string is $2 v_0$.
C
When the composite string vibrates at the minimum frequency with a node at $\mathrm{O}$, it has 6 nodes, including the end nodes.
D
No vibrational mode with an antinode at $\mathrm{O}$ is possible for the composite string.
2
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
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 pipe is closed. The speed of sound in air is v and f0 is the fundamental frequency of the pipe. For which of the following combination(s) of u and fs, will the sound reaching the pipe lead to a resonance?
A
u = 0.8v and fs = f0
B
u = 0.8v and fs = 2f0
C
u = 0.8v and fs = 0.5f0
D
u = 0.5v and fs = 1.5f0
3
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
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
4
JEE Advanced 2017 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
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?

JEE Advanced 2017 Paper 1 Offline Physics - Waves Question 30 English
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
JEE Advanced Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12