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A uniform string fixed at both ends is vibrating in $3^{rd}$ harmonic and equation of vibration is $y = 4 (cm) \sin [(0.8 {cm}^{- 1}) x] \cos [(400 π s^{- 1}) t]$
The length of the vibrating string is

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Important Questions on Waves

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.3>Q 23

If the speed of sound in air is

v

, then the minimum possible length of the closed end organ pipe which resonates to frequency

f

will be

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.3>Q 24

A pipe closed at one end produces a fundamental note of

412 Hz

. It is cut into two pieces of equal length, then the fundamental notes produced by the two pieces are,

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.3>Q 26

A cylindrical tube, open at both the ends, has a fundamental frequency

f

. The tube is dipped vertically in water so that half of its length is inside the water. The new fundamental frequency is

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.3>Q 27

A tuning fork of frequency

500 Hz

is sounded on a resonance tube. The first and second resonances are obtained at

17 cm

and

52 cm

. The velocity of sound is,

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.3>Q 28

A longitudinal sound wave given by,

p = 2.5 \sin \frac{π}{2} (x - 600 t)

, where

t

is in second, is sent down a closed organ pipe. If the pipe vibrates in its second overtone, the length of the pipe is,

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.4>Q 29

In a large room, a person receives direct sound wave from a source

120 m

away from him. He also receives wave from the same source which reaches him after being reflected from

25 m

high ceiling at a point midway between them. The two waves interfere constructively for wavelength of (in meter)

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.4>Q 30

Two sound waves having intensities

4

unit and

9

unit coming from two coherent sources arrive at a point along the same line simultaneously in same phase. Resultant intensity at the point will be

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>EXERCISE 14.5>Q 41

25

tuning forks are arranged in series in the order of decreasing frequency. Any two successive forks produce

3

beats per second. If the frequency of the first tuning fork is the octave of the last fork, then the frequency of the

21^{st}

fork is,

A uniform string fixed at both ends is vibrating in 3rd harmonic and equation of vibration is y=4( cm)sin0.8 cm-1xcos400πs-1t The length of the vibrating string is

Important Questions on Waves

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A uniform string fixed at both ends is vibrating in $3^{rd}$ harmonic and equation of vibration is $y = 4 (cm) \sin [(0.8 {cm}^{- 1}) x] \cos [(400 π s^{- 1}) t]$
The length of the vibrating string is