How to produce a standing wave question

1. Dec 20, 2011

michaelraymen

1. The problem statement, all variables and given/known data
using a wire of length L= 1 M with both ends fixed, can you produce a standing wave with the following wavelengths? Explain why or why no.

a. 30 cm:

b. 1m :

c. 75 cm :

d. 2 m :

2. Relevant equations
L=n. (λn/2)

3. The attempt at a solution

1m= n. 30 cm/2 ?

2. Dec 20, 2011

HallsofIvy

A standing wave must fit a full "wave" inside the given length. In other words the length must be an integer multiple of the wavelength.

3. Dec 20, 2011

michaelraymen

So would all of the wave lengths work except for the 2 meter one?And How can I explain it with the formula?

4. Dec 20, 2011

Staff: Mentor

For a string or wire fixed at both ends, the fundamental mode fits a half wavelength between the nodes, no?

5. Dec 20, 2011

Staff: Mentor

Welcome to the PF.

I'd suggesting sketching each of the possible answers, to see if you get a whole number of half wavelengths between the nodes.