Respuesta :

Frequency is 1 over the period, or the reciprocol of the period. If the period is p, the frequency is 1/p. If the period doubles, the period is 2p, and the frequency is 1/2p. As you can see, multiplying the period by 2 multiplies the frequency by 1/2 since (1/p)*(1/2)=1/2p
So, the wave's frequency is halved.

Based on the relationship between frequency and period of a wave, if the period of a wave doubles, the waves frequency reduces by half of its initial value.

What is the relationship between frequency and period of a wave?

The period of a wave is the time taken to complete one oscillation.

Frequency of a wave is the number of oscillations completed per second

  • Frequency and period are inversely related.
  • Frequency = 1/Period

Therefore, if the period of a wave doubles, the waves frequency reduces by half of its initial value.

Learn more about frequency and period at: https://brainly.com/question/478682