Two wires are fixed in a sonometer. Their tensions are in the ratio 8 : 1. The lengths are in the ratio 36 : 35. The diameters are in the ratio 4 : 1. Densities of the materials are in the ratio 1 : 2. If the lower frequency in the setting is 360 Hz. the beat frequency when the two wires are sounded together is :

(1) 5

(2) 8

(3) 6

(4) 10

Concept Questions :-

Travelling wave on string
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The first overtone of a stretched wire of given length is 320 Hz. The first harmonic is : 

(1) 320 Hz

(2) 160 Hz

(3) 480 Hz

(4) 640 Hz

Concept Questions :-

Standing waves
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The sound carried by the air from a sitar to a listener is a wave of the following type :

(1) Longitudinal stationery

(2) Transverse progressive

(3) Transverse stationery

(4) Longitudinal progressive

Concept Questions :-

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Three similar wires of frequency n1, n2 and n3 are joined to make one wire. Its frequency will be :

(1) n=n1+n2+n3

(2) 1n=1n1+1n2+1n3

(3) 1n=1n1+1n2+1n3

(4) 1n1=1n12+1n22+1n32

Concept Questions :-

Travelling wave on string
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Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency n1 and the other with frequency n2. The ratio n1/n2 is given by :

(1) 2

(2) 4

(3) 8

(4) 1

Concept Questions :-

Travelling wave on string
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A string is rigidly tied at two ends and its equation of vibration is given by y=cos2πt sin2πxThen minimum length of the string is :

1. 1 m

2. 12m

3. 5 m

4. 2π m

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A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz then the waves would travel on its with a velocity of :

(1) 125 m/s

(2) 250 m/s

(3) 500 m/s

(4) 1000 m/s

Concept Questions :-

Standing waves
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The fundamental frequency of a sonometre wire is n. If its radius is doubled and its tension becomes half, the material of the wire remains same, the new fundamental frequency will be :

(1) n

(2) n2

(3) n2

(4) n22

Concept Questions :-

Standing waves
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In an experiment with a sonometer, a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. The tension of the string remaining constant the frequency of the second tuning fork is :

(1) 163.84 Hz

(2) 400 Hz

(3) 320 Hz

(4) 204.8 Hz

Concept Questions :-

Travelling wave on string
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The length of two open organ pipes are l and (l+Δl) respectively. Neglecting end correction, the frequency of beats between them will be approximate :

(1) v2l

(2) v4l

(3) vΔl2l2

(4) vΔll

(Here v is the speed of sound)

Concept Questions :-

Standing waves
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