A string of length $l$ fixed at both the ends is vibrating in two segments. The wavelength of the…

A string of length $l$ fixed at both the ends is vibrating in two segments. The wavelength of the corresponding wave is
  1. $\frac{l}{4}$
  2. $\frac{l}{2}$
  3. $l$
  4. $2l$

Solution

The following figure shows string vibrating in two segments. [Diagram shows a string of length $l = \lambda$ fixed at both ends vibrating in two loops with nodes at $x=0, l/2, l$ and antinodes at $x=l/4, 3l/4$] The wavelength of the corresponding wave is $l$.

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