Question

On plucking a stretched string, it completes 800 vibration in 50 seconds what will be its
frequency?
(A) 40 Hz
(B) 4000 Hz
(C) 8000 Hz
(D) 16 Hz​

Answer 1

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Hey Mate!!

Frequency = No. of vibrations/Time taken

=> 800/50

=> 16 Hz

Thus, you answer is (D) 16 Hz.

Answer 2

Given:

The total number of vibrations = 800.

Time taken to complete the vibrations = 50 seconds.

To find :

The frequency of the stretched string.

Solution:

The frequency of a stretched string is the number of vibrations per second. So the formula for frequency is as given below;

$n = \frac{number \: of \: vibrations}{time}$

where n is the frequency of the stretched string.

Now, putting the values from our question in the above equation we get,

$n = \frac{800}{50} = 16 \:$

The SI unit for frequency is Hertz (Hz).

Hence, the frequency of the vibrating stretched string is 16 Hz.