Question

To understand the relationships between the parameters that characterize a wave. It is of fundamental importance in many areas of physics to be able to deal with waves. This problem will lead you to understand the relationship of variables related to wave propagation: frequency, wavelength, velocity of propagation, and related variables. Note that these are kinematic variables that relate to the wave's propagation and do not depend on its amplitude.
1. Traveling waves propagate with a fixed speed usually denoted as v (but sometimes c). The waves are called __________ if their waveform repeats every time interval T.

a. transverse
b. longitudinal
c. periodic
d. sinusoidal

2. If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength __________.

a. decreases
b. increases
c. stays constant

Answer 1

Answer:

1) c.

2) a.)

Explanation:

1)

• At any wave, if its waveform repeats itself every time interval T, it is said that the wave is periodic, with a period T, which is the time needed to complete an entire cycle. The other options refer at the way in the waves propagates (longitudinal or transversal) and to the type of waveform (sinusoidal), so the right answer is c).

2)

• At any wave that propagates at a constant speed, there exists a fixed relationship between the velocity v, the frequency  f and the wavelength λ, as follows:

       $v = \lambda * f (1)$

• So in order to v keep constant, if the frequency is increased, the wavelength will decrease in the same proportion, so a) is the right answer.