A wave travelling along a string is described by, $$y(x,t)=0.005 \text{sin}(80.0x-3.0t),$$ in which the numerical constants are in SI units. The wavelength and the period of the wave respectively are:
1. $$7.85$$ cm and $$2.09$$ s
2. $$7.85$$ mm and $$1.09$$ s
3. $$7.85$$ m and $$0.09$$ s
4. none of these

Subtopic:  Travelling Wave on String |
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A wave travelling along a string is described by, $$y(x,~t)=0.005 \mathrm{sin}(80.0x-3.0t),$$ in which the numerical constants are in SI units. The displacement $$y$$ of the wave at a distance $$x = 30.0$$ cm and time $$t=20$$ s is:
1. $$0.5$$ mm

2. $$5$$ mm
3. $$5$$ m
4. $$5$$ cm

Subtopic:  Travelling Wave on String |
67%
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A steel wire $$0.72~\text{m}$$ long has a mass of $$5\times10^{-3}~\text{kg}$$. If the wire is under tension of $$60~\text{N}$$, the speed of transverse waves on the wire will be:
1. $$85~\text{m/s}$$
2. $$83~\text{m/s}$$
3. $$93~\text{m/s}$$
4. $$100~\text{m/s}$$

Subtopic:  Travelling Wave on String |
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Speed of sound in air at standard temperature and pressure is:
(Given the mass of $$1$$ mole of air is $$29.0\times10^{-3}$$ kg and $\mathrm{}$$$\gamma=7/5$$)
1. $$240$$ m/s
2. $$331.5$$ m/s
3. $$384.5$$ m/s
4. $$280$$
m/s

Subtopic:  Speed of Sound |
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Two sitar strings A and B playing the note ‘Dha’ are slightly out of tune and produce beats of frequency $$5$$ Hz. The tension of the string B is slightly increased and the beat frequency is found to decrease to $$3$$ Hz. What is the original frequency of B if the frequency of A is $$427$$ Hz?
1. $$432$$ Hz
2. $$424$$ Hz
3. $$430$$ Hz
4. $$422$$ Hz

Subtopic:  Beats |
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A pipe, 30.0 cm long, is open at both ends.

(i) Which harmonic mode of the pipe resonates a 1.1 kHz source?

(ii) Will resonance with the same source be observed if one end of the pipe is closed?

Take the speed of sound in air as 330 m s–1.

 (i) (ii) 1. First No 2. Second No 3. First Yes 4. Second Yes

Subtopic:  Standing Waves |
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