Asked by Andy

A string that is 90cm long with a diameter of 0.75 mm and a tension of 60 N has a frequency of 100 Hz. What new frequency is heard when the length of the string is 100 cm long.

Anyone help me please?

Answers

Answered by Damon
assume fundamental transverse mode

frequency = v/2L
where v = speed of wave along string = sqrt(tension/mass per unit length)

here the mas per unit length and the tension are not changing so
frequency = constant/2L
100 = constant/180
so
constant = 18000
then
new frequency = constant / 200
new frequency = 18000/200
= 90 hz
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