A rope of length is clamped at both ends.Which one of the following is not a possible wavelength for standing waves on this rope?
A)/2
B)2/3
D)2

Question

A rope of length  is clamped at both ends.Which one of the following is not a possible wavelength for standing waves on this rope?
A)/2 
B)2/3 
D)2

Quizplus · Accepted Answer

The possible wavelengths for standing waves on a rope of length L with clamped ends are given by the formula λ = 2L/n, where n is a positive integer representing the number of half-wavelengths in the rope. Option E, 411ec9df8_0ca0_d5ba_8d20_b3033aa7101c_TB6393_11, is not a possible wavelength because it is greater than the length of the rope itself, which means that at least one half-wavelength of the wave would extend beyond the length of the rope, violating the boundary conditions. The other options are all possible wavelengths for standing waves on the rope.

A Rope of Length Is Clamped at Both Ends