Two sound waves of wavelengths 5m and 6m formed 30 beats in 3 seconds. The velocity of sound is :

(1) 300 ms–1

(2) 310 ms–1

(3) 320 ms–1

(4) 330 ms–1

Concept Questions :-

Beats
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Two sound sources when sounded simultaneously produce four beats in 0.25 seconds. The difference in their frequencies must be :

(1) 4

(2) 8

(3) 16

(4) 1

Concept Questions :-

Beats
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Two strings X and Y of a sitar produce a beat frequency 4 Hz. When the tension of the string Y is slightly increased the beat frequency is found to be 2 Hz. If the frequency of X is 300 Hz, then the original frequency of Y was :

(1) 296 Hz

(2) 298 Hz

(3) 302 Hz

(4) 304 Hz

Concept Questions :-

Travelling wave on string
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Two vibrating tuning forks produce progressive waves given by ${Y}_{1}=4\mathrm{sin}500\pi t$ and ${Y}_{2}=2\mathrm{sin}506\pi t.$ Number of beats produced per minute is :

(1) 360

(2) 180

(3) 3

(4) 60

Concept Questions :-

Beats
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The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency :

(1) 10 Hz

(2) 360 Hz

(3) 216 Hz

(4) 6 Hz

Concept Questions :-

Standing waves
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The distance between the nearest node and antinode in a stationary wave is :

(1) λ

(2) $\frac{\lambda }{2}$

(3) $\frac{\lambda }{4}$

(4) 2λ

Concept Questions :-

Standing waves
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For the stationary wave $y=4\mathrm{sin}\text{\hspace{0.17em}}\left(\frac{\pi x}{15}\right)\mathrm{cos}\left(96\text{\hspace{0.17em}}\pi t\right)$, the distance between a node and the next antinode is :

(1) 7.5

(2) 15

(3) 22.5

(4) 30

Concept Questions :-

Standing waves
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The equation of a stationary wave is $y=0.8\mathrm{cos}\text{\hspace{0.17em}}\left(\frac{\pi x}{20}\right)\mathrm{sin}200\text{\hspace{0.17em}}\pi t$, where x is in cm and t is in sec. The separation between consecutive nodes will be :

(1) 20 cm

(2) 10 cm

(3) 40 cm

(4) 30 cm

Concept Questions :-

Standing waves
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A wave represented by the given equation $y=a\mathrm{cos}\left(kx-\omega \text{\hspace{0.17em}}t\right)$ is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is :

(1) $y=a\mathrm{sin}\left(kx+\omega \text{\hspace{0.17em}}t\right)$

(2) $y=-a\mathrm{cos}\left(kx+\omega \text{\hspace{0.17em}}t\right)$(3) $y=-a\mathrm{cos}\left(kx-\omega \text{\hspace{0.17em}}t\right)$

(4) $y=-a\mathrm{sin}\left(kx-\omega \text{\hspace{0.17em}}t\right)$

Concept Questions :-

Standing waves
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A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is :

(1) 1.21 Å

(2) 2.42 Å

(3) 6.05 Å

(4) 3.63 Å

Concept Questions :-

Standing waves
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