Question

A 60-vibration-per-second wave travels 30 meters in 1 second. Its frequency isA) 30 hertz and it travels at 60 m/s.B) 60 hertz and it travels at 30 m/s.C) 1800 hertz and it travels at 2 m/s.

Answer 1

B) 60 hertz and it travels at 30 m/s

Step-by-step explanation:

The frequency of a wave corresponds to the number of complete vibrations per second. The wave in this problem has 60 vibrations per second, so its frequency is

`f=(60 vibrations)/( 1 s)=60 Hz`

The speed of the wave instead is given by the distance travelled divided by the time taken. In this problem:

d = distance travelled = 30 m

t = time taken = 1 s

So, the speed of the wave is

`v=(d)/(t)=(30 m)/(1 s)=30 m/s`

so, the correct answer is

B) 60 hertz and it travels at 30 m/s