Question

A standing wave has X nodes in a string Y m long The wavelength of this wave is ___ m rounded to the first decimal place.

Answer 1

consider a) fixed ends, or b) non fixed ends

a. fixed ends.
two nodes, lambda is 2Y
three nodes, lambda is Y
four nodes, not possible
c. five nodes, lambda is Y/2

so if X nodes (over two)lambda=(n-1)Y

b. One end not fixed (loose)
one node: Not determinable
two nodes, lambda is less than 2Y,
three nodes, lambda is less than Y.
and on an on, not easy to write in a simple formula.