A long rope is fixed at one end and the end is made to oscillate in one plane at right angle to the rope with a frequency of4hz.the sucessive crest are 0.6m apart.calculate the speed of the wave.what frequency would the wave length be 30cm?

as before,

v = fλ = 4*0.6 = 2.4 m/s
now find f when λ = 0.3

Did you know?

Did you know that the speed of a wave can be calculated by multiplying its frequency by the wavelength? In the given scenario, a long rope is fixed at one end, and when the other end is oscillated in one plane at a right angle to the rope with a frequency of 4 Hz, the successive crests are 0.6 m apart. To calculate the speed of the wave, we can use the formula speed (v) = frequency (f) × wavelength (λ). Therefore, the speed of this wave would be 2.4 m/s (4 Hz × 0.6 m). In another situation, if the wavelength is known to be 30 cm, we can use the formula wavelength (λ) = speed (v) / frequency (f) to calculate the frequency. Thus, the frequency of this wave would be 10 Hz (30 cm / 0.3 m). Knowing these relationships between frequency, wavelength, and speed helps us understand how waves behave and interact in various scenarios.