The equation $$y(x,t) = 0.005 ~cos (\alpha x- \beta t)$$ describes a wave traveling along the x-axis. If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then $\mathrm{\alpha }$ and $\mathrm{\beta }$ in appropriate units are: 1. $\mathrm{\alpha }=25.00$ $\mathrm{\pi },$ $\mathrm{\beta }=\mathrm{\pi }$ 2. $\mathrm{\alpha }=\frac{0.08}{\mathrm{\pi }},$ $\mathrm{\beta }=\frac{2.0}{\mathrm{\pi }}$ 3. $\mathrm{\alpha }=\frac{0.04}{\mathrm{\pi }},$ $\mathrm{\beta }=\frac{1.0}{\mathrm{\pi }}$ 4. $\mathrm{\alpha }=12.50$ $\mathrm{\pi },$ $\mathrm{\beta }=\frac{\mathrm{\pi }}{2.0}$

Subtopic:  Wave Motion |
86%
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A vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube.

The tube has a side opening and is also fitted with a movable reflecting piston. As the piston is moved through 8.75 cm, the intensity of sound changes from a maximum to a minimum. If the speed of sound is 350 metre per second, then n is:

1.  500 Hz
2.  1000 Hz
3.  2000 Hz
4.  4000 Hz

Subtopic:  Standing Waves |
60%
From NCERT
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In an experiment with a sonometer, a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. If the tension of the string remains constant, then the frequency of the second tuning fork will be:

1. 163.84 Hz

2. 400 Hz

3. 320 Hz

4. 204.8 Hz

Subtopic:  Standing Waves |
74%
From NCERT
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The rate of energy transfer in a wave depends:

 1 directly on the square of the wave amplitude and square of the wave frequency 2 directly on the square of the wave amplitude and square root of the wave frequency 3 directly on the wave frequency and square of the wave amplitude 4 directly on the wave amplitude and square of the wave frequency
Subtopic:  Energy of Waves |
72%
From NCERT
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Two identical wires are stretched by the same tension of 100 N and each emits a note of 200 Hz. If tension in one wire is increased by 1 N, the number of beats heard per second when the wires are plucked will be:

 1 2 2 1 3 3 4 4
Subtopic:  Beats |
68%
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A tuning fork with a frequency of $$800$$ Hz produces resonance in a resonance column tube with the upper end open and the lower end closed by the water surface. Successive resonances are observed at lengths of $$9.75$$ cm, $$31.25$$ cm, and $$52.75$$ cm. The speed of the sound in the air is:

 1 $$500$$ m/s 2 $$156$$ m/s 3 $$344$$ m/s 4 $$172$$ m/s
Subtopic:  Speed of Sound |
74%
From NCERT
NEET - 2019
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Two waves represented by the following equations are travelling in the same medium $$y_1 = 5 sin2\pi (75t-0.25x)$$$$y_2 = 10 sin2\pi (150t-0.50x)$$${}_{}$
The intensity ratio $$\frac{I_1}{I_2}$$ of the two waves will be:
1. $$1:2$$
2. $$1:4$$
3. $$1:8$$
4. $$1:16$$

Subtopic:  Energy of Waves |
From NCERT
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A standing wave is represented by $Y=A\mathrm{sin}\left(100t\right)\mathrm{cos}\left(0.01x\right)$ where Y and A are in millimetres, t is in seconds and x is in metres. The velocity of the wave is:

 1 104 m/s 2 1 m/s 3 10–4 m/s 4 Not derivable from the above data

Subtopic:  Standing Waves |
87%
From NCERT
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Two progressive waves are represented by, $$y_1=5sin(200t-3.14x)$$ and
$$y_2=10sin(200t-3.14x+\frac{\pi}{3})$$
($$x$$ is in metres, and $$t$$ is in seconds). Path difference between the two waves is:
1.

2.

3.

4.

Subtopic:  Wave Motion |
72%
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Two organ pipes closed at one end produce $$5$$ beats per second in fundamental mode. If the ratio of their lengths is $$10:11$$, then their frequencies (in Hz) are:

 1 $$55,50$$ 2 $$105,100$$ 3 $$75,70$$ 4 $$100,95$$
Subtopic:  Beats |
80%
From NCERT
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