Two uniform strings A and B made of steel are made to vibrate under the same tension. If the first overtone of A is equal to the second overtone of B and if the radius of A is twice that of B, the ratio of the lengths of the strings is -

(1) 1: 2

(2) 1 : 3

(3) 1 : 4

(4) 1 : 6

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

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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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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 :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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

(1) $n={n}_{1}+{n}_{2}+{n}_{3}$

(2) $\frac{1}{n}=\frac{1}{{n}_{1}}+\frac{1}{{n}_{2}}+\frac{1}{{n}_{3}}$

(3) $\frac{1}{\sqrt{n}}=\frac{1}{\sqrt{{n}_{1}}}+\frac{1}{\sqrt{{n}_{2}}}+\frac{1}{\sqrt{{n}_{3}}}$

(4) $\frac{1}{{n}^{1}}=\frac{1}{{n}_{1}^{2}}+\frac{1}{{n}_{2}^{2}}+\frac{1}{{n}_{3}^{2}}$

Concept Questions :-

Travelling wave on string
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A string is rigidly tied at two ends and its equation of vibration is given by Then minimum length of the string is :

1. 1 m

2. $\frac{1}{2}m$

3. 5 m

4. 2π m

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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) $\frac{n}{\sqrt{2}}$

(3) $\frac{n}{2}$

(4) $\frac{n}{2\sqrt{2}}$

Concept Questions :-

Standing waves
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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