This question is asking us to determine the wavelength of a sound wave at a specific temperature. From the equation presented to us in the paragraph above, we can calculate the wave velocity.

Now, we can use this velocity to calculate the wavelength.

We can use the equationtogether with. If T is constant, v cannot change assuming the mass density, m/L, is constant. Thus,must be constant; if f increases,must decrease.

The wavelength of a sound can be found by utilizing the equation,. wherevis the velocity of sound,is the wavelength, andfis the frequency. You should know that sound normally travels with a speed of 340m/s, unless otherwise stated. With the information given we can find the wavelength of the traveling sound to be 0.11m.

Right away you can rule out the answers with units in seconds, as the unit of frequency is an inverse second, or Hz. Frequency is measured in cycles per second. If eight crests pass a given point in fifteen seconds, the frequency is given by the number of crests divided by the time period.

First calculate the frequency of the wave (cycles/sec). The problem tells us that there are ten cycles in 1.6s.

Next find the period by taking the inverse of the frequency.

Finally, find the wavelength by dividing the velocity by the frequency.

The frequency of light does not change when it enters a medium with a different index of refraction; in this case, that new medium is the glass of the prism. From the velocity of light equation we know the relationship between velocity and frequency.

v is the velocity of light,is the wavelength, and f is the frequency. When light enters the prism, its velocity changes due to the new index of refraction, but its frequency remains constant.

Because the frequency does not change, we can see that velocity is directly proportional to wavelength; thus, the shorter the wavelength, the slower the velocity. So both wavelength and velocity change when frequency is constant.

The period of a wave is equal to the reciprocal of the frequency:

Respectively, frequency is the reciprocal of period. By definition, the product of two reciprocals is one.

Wave velocity is given by the product of frequency and wavelength:

In the question, we are given the period (waves per second). To find the frequency, we will need to take the reciprocal of the period.

Using the values given in the question, we can find the velocity of the waves. The wavelength is twice the distance between adjacent maxima and minima, making our wavelength two meters.

The relationship between wavelength and frequency is given by the equation:

In this case, the velocity will be equal to the speed of light.

Using this value and the given wavelength, we can find the frequency of the photon. Keep in mind that the wavelength must be given in meters.

Solve for frequency by taking the inverse of the period.

Next, solve for wavelength by dividing velocity by frequency.