The diagram above represents a stationary wave set up in a string which is fixed at both ends. lf the frequency of the wave is 256Hz and the distance N1 N2 ...

The diagram above represents a stationary wave set up in a string which is fixed at both ends. lf the frequency of the wave is 256Hz and the distance N1 N2 equals 1.5m, calculate the speed of the wave.

Answer Details

The speed of a wave can be calculated using the formula: speed = frequency x wavelength In a stationary wave, the distance between two consecutive nodes (or antinodes) represents half of the wavelength. Therefore, the wavelength of the wave in the given diagram can be calculated as: wavelength = 2 x distance(N1N2) = 2 x 1.5m = 3m Given that the frequency of the wave is 256Hz, we can now calculate its speed: speed = frequency x wavelength = 256Hz x 3m = 768ms^-1 Therefore, the speed of the wave is 768ms^-1.