Question:

A transverse wave is travelling along a string. The wavelength of the wave is 2.0 meters and its frequency is 10.0 Hz. Determine the wave speed and the time it takes for one complete wave to pass a particular point on the string.

Answer:

Given: Wavelength (λ) = 2.0 meters Frequency (f) = 10.0 Hz

We know that the wave speed (v) is given by the formula:

v = λ * f

where v = wave speed, λ = wavelength, and f = frequency.

Substituting the given values, we can find the wave speed:

v = 2.0 m * 10.0 Hz = 20.0 m/s

Therefore, the wave speed is 20.0 m/s.

The time taken for one complete wave to pass a particular point on the string is known as the period. The period (T) is the reciprocal of the frequency (f), so:

T = 1 / f

Substituting the given value of frequency, we can calculate the period:

T = 1 / 10.0 Hz = 0.1 s

Therefore, it takes 0.1 seconds for one complete wave to pass a particular point on the string.