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 $g{m}^{-1}.$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  pass through a region at the same time in the same direction. The sum of the maximum and  minimum intensities is :

(a) ${I}_{1}+{I}_{2}$

(b) ${\left(\sqrt{{I}_{1}}+\sqrt{{I}_{2}}\right)}^{2}$

(c)${\left(\sqrt{{I}_{1}}-\sqrt{{I}_{2}}\right)}^{2}$

(d)

Concept Questions :-

Wave motion
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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) $\frac{\pi }{3}$

(b) $\frac{2\pi }{3}$

(c) $\pi$

(d) $\frac{\pi }{6}$

Concept Questions :-

Wave motion
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The wave described by y=0.25 sin(10$\pi x-2\pi t$), 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 $\pi$ Hz and wavelength $\lambda$=0.2m

(c) + ve x direction with frequency 1 Hz and wavelength

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

Concept Questions :-

Wave motion
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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

Concept Questions :-

Wave motion
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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

Concept Questions :-

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

Concept Questions :-

Speed of sound
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The minimum audible wavelength at room temperature is about

(1) 0.2 Å

(2) 5 Å

(3) 5 cm to 2 metre

(4) 20 mm

Concept Questions :-

Speed of sound
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The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is

(1) $\sqrt{2/7}$

(2) $\sqrt{1/7}$

(3) $\sqrt{3}/5$

(4) $\sqrt{6}/5$

Concept Questions :-

Speed of sound
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The frequency of a rod is 200 Hz. If the velocity of sound in air is 340 ms–1, the wavelength of the sound produced is :

(1) 1.7 cm

(2) 6.8 cm

(3) 1.7 m

(4) 6.8 m

Concept Questions :-

Speed of sound
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