Question

A source of a wave produces 30 crests and 30 troughs in 0.3 seconds what is the time period of the wave

Answer 1

The time period of the wave = 0.3/30=0.1/10=0.01 m/s

Answer 2

Answer:

Explanation:

Solution :-

One wave cycle comprises of one crest and one trough. As the given source produces 30 crests and 30 troughs, the given source produces 30 full wave cycles in 0.3 s.

Therefore,

Number of wave cycles produced in 0.3 s = 30 and number of wave cycles produced in 1 s.

= 30/0.3 = 100

But the number of wave cycles per second represents frequency. Therefore, the frequency of the wave is 100 Hz.

Also, time period (T) of the wave,

= 1/100 = 0.01 seconds.

Some Formulae related to the Topic :-

1. T = 2π√l/g

where l = length of the pendulum and

g = acceleration due to gravity

2. Frequency and time period related as,

v = 1/T

3. Velocity of a wave is given as,

v = v × λ

or v = v/λ

Also, λ = v/v

where, λ = Wavelength

v = velocity

v = Frequency