# Wire tensions homework

## Homework Statement

The lengths of two wires are in the ratio 1:2, their tensions are in the ratio 1:2 and their diameters in the ratio 1:3 . The ratio of the notes they emit when sounded together by the same source is?

## The Attempt at a Solution

How to do this problem....What exactly are notes...A google search didnt help much....

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Redbelly98
Staff Emeritus
Homework Helper

"Notes" means a musicalnote, that is the frequency of the sound emitted by a vibrating wire. Your textbook should have a discussion, and relevant equations that involve quantities mentioned in the problem statement (tension, wire length).

Ok.....so notes are simply their frequencies?
ok if so then i am assuming both wires to be of the same material....I have velocity given by √(T/density*A) ...here T = tension , A=cross sectional area.....Now i have the ratio of their velocities.....But if i want to use f=v/wavelegth i dont have wavelength....SO how do i go about it? and does the length of the wires play any role?

Redbelly98
Staff Emeritus
Homework Helper

Yes, the notes are the frequencies. And yes, the length of wire plays a role in the wavelength; the wavelength is determined by the length of the wire. (There is probably a figure showing this in your textbook or lecture notes.)

Are you talking about the concept of standing waves where the length is an integral multiple of (wavelength/2). In this case they are not talking about any particular frequency (fundamental or 2nd overtone 3rd overtone whatever....).....So how do i get the wavelength?

And what is the significance of saying that they are from the same source?

Redbelly98
Staff Emeritus