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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A tube closed at one end and containing air is excited. It produces the fundamental note of frequency of 512 Hz. If the same tube is open at both the ends the fundamental frequency that can be produced is :

(1) 1024 Hz

(2) 512 Hz

(3) 256 Hz

(4) 128 Hz

Concept Questions :-

Standing waves
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