A tuning fork of frequency 512 Hz makes 4 beats/s with the vibrating string of a piano. The beat frequency decreases to 2 beats/s when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

(a) 510 Hz                        (b) 514 Hz

(c) 516 Hz                        (d) 508 Hz

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A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x-axis with a speed of 128 ms-1 and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is :

(a) y=0.02m sin 7.85x +1005 t 

(b) y=0.02m sin 15.7x -2010 t 

(c) y=0.02m sin 15.7x +2010 t 

(d) y=0.02m sin 7.85x -1005 t 

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The driver of a car travelling with speed 30 ms-1 towards a hill sound a horn of frequency 600 Hz. If the velocity of sound in air is 330 ms-1, the frequency of reflected sound as heard by driver is 

(a) 550 Hz                             (b) 555.5 Hz

(c) 720 Hz                             (d) 500 Hz

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Doppler effect
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Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20N force. Mass per unit length of both the strings is same and equal to 1 gm-1.When both the strings vibrate simultaneously the number of beats is :

(a) 5                                                    (b) 7

(c) 8                                                    (d) 3

Concept Questions :-

Standing waves
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Two periodic waves of intensities  I1 and I2 pass through a region at the same time in the same direction. The sum of the maximum and  minimum intensities is :

(a) I1+I2

(b) I1+I22

(c)I1-I22

(d) 2 I1+I2 

 

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Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 s and the velocity of the wave is 300 m/s. What is the phase difference between the oscillations of two points?

(a) π3

(b) 2π3

(c) π

(d) π6

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The wave described by y=0.25 sin(10πx-2πt), where x and y are in metre and t in second, is a wave travelling along the 

(a) -ve x direction with frequency 1 Hz 

(b) +ve x direction with frequency π Hz and wavelength λ=0.2m 

(c) + ve x direction with frequency 1 Hz and wavelength λ=0.2 m

(d) - ve x direction with amplitude 0.25 m and wavelength λ=0.2 m

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The distance between two consecutive crests in a wave train produced in a string is 5 cm. If 2 complete waves pass through any point per second, the velocity of the wave is :

(1) 10 cm/sec

(2) 2.5 cm/sec

(3) 5 cm/sec

(4) 15 cm/sec

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A tuning fork makes 256 vibrations per second in air. When the velocity of sound is 330 m/s, then the wavelength of the tone emitted is :

(1) 0.56 m

(2) 0.89 m

(3) 1.11 m

(4) 1.29 m

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Speed of sound
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Sound waves have the following frequencies that are audible to human beings :

(1) 5 c/s

(2) 27000 c/s

(3) 5000 c/s

(4) 50,000 c/s

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Speed of sound
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