Suppose that the wave depicted above were traveling to the right at a speed of 35 cm/sec, and that λ=2.5 cm. a) how long would it take for 1 wavelength (or 1 cycle of the wave) to travel past the point x/?

0.0714 second

Explanation:

Speed of wave, v = 35 cm/s = 0.35 m/s

wavelength, λ = 2.5 cm = 0.025 m

The time taken by the wave to complete one wavelength is called time period of the wave. It is denoted by T. Its SI unit is second.

The number of vibrations completed in one second is called frequency of the wave. it is denoted by f. Its SI unit is Hertz (Hz).

The relation between the wave velocity, wavelength and frequency is

v = f λ

0.35 = f x 0.025

f = 14 Hz

The relation between frequency and the time period is given by

T = 0.0714 second

Thus, the time taken by a wave to complete one wave is  0.0714 second.

double the distance = divide strength by 4