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Suppose you pluck a string on a guitar and it produces the note A at a frequency of 440 Hz . Now you press your finger down on the string against one of the frets, making this point the new end of the string. The newly shortened string has 4/5 the length of the full string. When you pluck the string, its frequency will be:

A. 350 Hz
B. 440 Hz
C. 490 Hz
D. 550 Hz

1 Answer

2 votes

Answer:

The newly frequency is 550 Hz.

(D) is correct option.

Step-by-step explanation:

Given that,

Frequency = 440 Hz

Newly length
L'=(4)/(5)L

If the length of the string is L

We need to calculate the frequency

Using formula of frequency


f=(v)/(2L)....(I)

We need to calculate the newly frequency

Using formula of frequency


f'=(v)/(2L')....(II)

Divided equation (II) and (I)


(f')/(f)=(L)/(L')

Put the value into the formula


(f')/(440)=(L)/((4)/(5)L)


f'=440*(5)/(4)


f'=550\ Hz

Hence, The newly frequency is 550 Hz.

User Konstantin Spirin
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