Question

In a resonance tube experiment when the tube is filled with water up to a height of $17.0 \mathrm{cm}\text{,}$ from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of $24.5 \mathrm{cm}\text{.}$ If the velocity of sound in air is $330 \mathrm{m} {\mathrm{s}}^{-1}\text{,}$ the tuning fork frequency is :

JEE Main 2020 (05 Sep Shift 1)

Options

• A: $2200 \mathrm{Hz}$
• B: $550 \mathrm{Hz}$
• C: $1100 \mathrm{Hz}$
• D: $3300 \mathrm{Hz}$

Question

The amplitude of wave disturbance propagating in the positive $x$-direction is given by $y=\frac{1}{(1+x{)}^2}$ at time $t=0$ and $y=\frac{1}{1+(x-2{)}^2}$ at $t=1 s$, where $x$ and $y$ are in metres. The shape of wave does not change during the propagation. The velocity of the wave will be $\mathrm{m} {\mathrm{s}}^{-1}.$

JEE Main 2021 (20 Jul Shift 1)

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Question

Two travelling waves produces a standing wave represented by equation. $y=\left(1.0 \mathrm{mm}\right)\cos \left[\left(1.57{ \mathrm{cm}}^{-1}\right)x\right] \sin \left[\left(78.5{ \mathrm{s}}^{-1}\right) \mathrm{t}\right]$. The node closest to the origin in the region $x>0$ will be at $x=...... \left(\text{in} \mathrm{cm}\right).$

JEE Main 2021 (26 Aug Shift 1)

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Question

A wire having a linear mass density $9.0\times {10}^{-4} \mathrm{kg} {\mathrm{m}}^{-1}$ is stretched between two rigid supports with a tension of $900 \mathrm{N}.$ The wire resonates at a frequency of $500 \mathrm{Hz}.$ The next higher frequency at which the same wire resonates is $550 \mathrm{Hz}.$ The length of the wire is ___________ $\mathrm{m}.$

JEE Main 2021 (31 Aug Shift 1)

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Question

A transverse wave is represented by $y=2\sin \left(\omega t-kx\right)\mathrm{cm}$. The value of wavelength (in $\mathrm{cm}$) for which the wave velocity becomes equal to the maximum particle velocity, will be

JEE Main 2022 (26 Jul Shift 2)

Options

• A: $4\pi$
• B: $2\pi$
• C: $\pi$
• D: $2$

Question

The velocity of sound in a gas, in which two wavelengths $4.08 \mathrm{m}$ and $4.16 \mathrm{m}$ produce $40$ beats in $12 \mathrm{s}$, will be

JEE Main 2022 (28 Jun Shift 1)

Options

• A: $282.8 \mathrm{m} {\mathrm{s}}^{-1}$
• B: $175.5 \mathrm{m} {\mathrm{s}}^{-1}$
• C: $353.6 \mathrm{m} {\mathrm{s}}^{-1}$
• D: $707.2 \mathrm{m} {\mathrm{s}}^{-1}$

Question

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $y=\left(10\cos \pi x\sin \frac{2\pi \mathrm{t}}{\mathrm{T}}\right)\mathrm{cm}$. The amplitude of the particle at $x=\frac{4}{3} \mathrm{cm}$ will be _____ $\mathrm{cm}.$

JEE Main 2022 (24 Jun Shift 2)

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Question

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is $20 \mathrm{cm}$. The length of the open organ pipe is _____ $\mathrm{cm}$

JEE Main 2022 (25 Jun Shift 1)

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Question

A set of $20$ tuning forks is arranged in a series of increasing frequencies. If each fork gives $4$ beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last fork is _____ $\mathrm{Hz}$.

JEE Main 2022 (26 Jun Shift 2)

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Question

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of $20.0 \mathrm{cm}$ for a tuning fork of frequency $400 \mathrm{Hz}$ is used. The velocity of the sound at room temperature is $336{ \mathrm{m} \mathrm{s}}^{-1}$. The third resonance is observed when the air column has a length of _____ $\mathrm{cm}$

JEE Main 2022 (29 Jun Shift 2)

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