Question

To understand the relationships among 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.------------------------------------A. 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.-transverse-longitudinal-periodic-sinusoidalB. Solve this equation to find an expression for the wavelength ?.C. If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength __________.-decreases-increases-stays constantD. The difference between the frequency f and the frequency ? is that f is measured in cycles per second or hertz (abbreviated Hz) whereas the units for ? are __________ per second.E. Find an expression for the period T of a wave in terms of other kinematic variables.F. What is the relationship between ? and f?

Answer 1

Answer:

A) Periodic, B)  v = λ  f , C) Decreases , D) rad / s , E)   T = λ / v

Explanation:

A) Periodic

B) the equation that relates the speed of the wave is

         v = λ  f

C) λ = v / f

Decreases

D) the difference between frequency (f) and angular velocity

        The frequency is in Hz

        The angular velocity is in rad / s

E) the speed of the wave is

         v = λ f

         The frequency is the inverse of the period

         F = 1 / T

         v = λ / T

          T = λ / v

F) the frequency and period are inverse

        .f = 1 / T

Answer 2

The correct answers are:

(a) Periodic

(b) wavelength λ = vT

(c) As frequency increases, wavelength decreases

(d) radians per second

(e) time period T = 1/frequency

(f)  ω = 2πf

Periodic waves:

If the waveform repeats every time interval T, the wave is called a periodic wave.

The wavelength of the wave is expressed by the following equation:

λ = vT

where v is the velocity of the wave, and

T is the time period of the wave

The frequency is the reciprocal of the time period, that is:

f = 1/T

so,

λ = v/f

v = λf

if the velocity remains constant then,

λf = constant

if the frequency f increases, then wavelength λ decreases

The angular frequency is measured in units of radians per second.

The relation between angular frequency (ω) and frequency (f) is:

ω = 2πf

Learn more about periodic waves:

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