A wave travelling along a string is described by, y(x, t) = 0.005sin(80.0– 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 sec

(2)   7.85 mm and 1.09 sec

(3)   7.85 m and 0.09 sec

(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 sin (80.0 – 3.0 t)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 sec is:

(1)   0.5 mm

(2)   5 mm

(3)   5 m

(4)   5 cm

Subtopic:  Travelling Wave on String |
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A steel wire 0.72 m long has a mass of 5.0 ×10–3 kg. If the wire is under tension of 60 N, the speed of transverse waves on the wire will be:
1. 85 m/s
2. 83 m/s
3. 93 m/s
4. 100 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 29.0×10–3 kg and γ =75)

(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 rocket is moving at a speed of 200 m s–1 towards a stationary target. While moving, it emits a wave of frequency 1000 Hz. Some of the sound reaching the target gets reflected back to the rocket as an echo. The frequency of the sound as detected by the target and the frequency of the echo as detected by the rocket respectively are:

(1)   4080 Hz and 2540 Hz

(2)   1000 Hz and 1000 Hz

(3)   2540 Hz and 4080 Hz

(4)   2540 Hz and 2540 Hz

Subtopic:  Doppler's Effect |
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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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