The discussion revolves around producing standing waves on a wire of length L = 1 m with both ends fixed. Participants are examining whether specific wavelengths can create standing waves and are prompted to explain their reasoning.
Some participants have suggested that all wavelengths except for the 2-meter one may work, and they are seeking clarification on how to articulate this using the formula provided. There is an ongoing exploration of the implications of the standing wave conditions.
Participants are working under the constraint of a fixed wire length and are discussing the implications of this on the wavelengths specified. The need for integer multiples of wavelengths to fit within the length is a central point of inquiry.
michaelraymen said:Homework Statement
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 :
Homework Equations
L=n. (λn/2)
The Attempt at a Solution
1m= n. 30 cm/2 ?
HallsofIvy said: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.
michaelraymen said:So would all of the wave lengths work except for the 2 meter one?And How can I explain it with the formula?
Thank you for your help.