Question

When the speed of sound in air is 330 m/s, the shortest air column, closed at one end, that
will respond to a tuning fork with a frequency of 440 vibrations per second has a length of
approximately:
BILA. 75 cm F-
B. 33 cm
Cr 67 cm
(D. 19 cm
​

Answer 1

Answer:

sorry dost Don not know

Answer 2

Given:

The speed of sound in air is 330 m/s

The frequency of the tuning fork = 440 vibrations per second

To Find:

The length of the shortest air column that is closed at one end.

Solution:

The length of the shortest air column that is closed at one end that responds to a tuning fork with a frequency of 440 vibrations per second is D. 19 cm.

We know that the velocity of a wave = v = λf

Sound is a wave and hence the velocity of the sound is the product of its wavelength and frequency.

⇒ 330 = λ X 440

or λ = 33 / 44

= 0.75 m

The shortest length of a closed organ pipe can be calculated using the formula of the fundamental frequency of the closed pipe.

A closed organ pipe produces only the odd multiples of this fundamental frequency.

According to the formula,

λ = 4L

Here L is the length fo the pipe

or 75 cm = 4L

or L = 19cm