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

Answer:

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

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

$f=\frac{60 vibrations}{ 1 s}=60 Hz$

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

$v=\frac{d}{t}=\frac{30 m}{1 s}=30 m/s$

so, the correct answer is

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