Question

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

I think it is A because frequency and length of a string have an inverse relationship. Am I correct?

Answer 1

short string ----> higher frequency !!!

f = k/L

so (5/4) 440 = 550

Answer 2

Thank you!

Answer 3

You are welcome :)