Question

A sinusoidal wave travels along a string. The time for a particular point to move from maximum displacement to zero is 0.13 s. What are the (a) period and (b) frequency? (c) The wavelength is 1.9 m; what is the wave speed?

Answer 1

Part a)

T = 0.52 s

Part b)

`f = 1.92 Hz`

Part c)

`speed = 3.65 m/s`

Step-by-step explanation:

As we know that the particle move from its maximum displacement to its mean position in t = 0.13 s

so total time period of the particle is given as

`T = 4* 0.13 = 0.52 s`

now we have

Part a)

T = time to complete one oscillation

so here it will move to and fro for one complete oscillation

so T = 0.52 s

Part b)

As we know that frequency and time period related to each other as

`f = (1)/(T)`

`f = (1)/(0.52)`

`f = 1.92 Hz`

Part c)

As we know that

wavelength = 1.9 m

frequency = 1.92 Hz

so wave speed is given as

`speed = wavelength * frequency`

`speed = 1.92 * 1.9`

`speed = 3.65 m/s`