Question

A violin string vibrates with fundamental frequency of 220 Hz. The frequency of first overtone is A 440 Hz (B) 420 Hz © 410 Hz D 400 Hz​

Answer 1

Answer:

Frequency of oscillation of string in n

th

harmonic is

2l

nc

.

where c is the speed of the wave in the string.

Since the string vibrates in 4 segments, n=4

400=

2l

4c

⟹

2l

c

=100

Fundamental frequency f

1

=

2l

1×c

=100Hz

Answer 2

The frequency of the first overtone is 440 Hz(option A).

Given:

The fundamental frequency of the Violin string is 220 Hz.

To Find:

The frequency of the first overtone.

Solution:

We are required to find the first overtone of a violin string with a fundamental frequency of 220 Hz.

The frequency of the harmonic overtones is the integer multiplied by the fundamental frequency.

So the frequency of the nth overtone is (n+1)f

where n is the fundamental frequency

The frequency of the first overtone = (1+1)×220

= 2×220

= 440 Hz

Therefore, The frequency of the first overtone is 440 Hz(option A).

#SPJ2