All AP Physics 1 Resources
Example Questions
Example Question #1 : Frequency And Period
A pendulum of length with a ball of mass is released at an angle away from the equilibrium point. Which of the following adjustments will result in an increase in frequency of oscillation?
Increasing the length
Decreasing the length
Increasing the initial angle
Increasing the ball's mass
Decreasing the ball's mass
Decreasing the length
For a pendulum on a string, the period at which it oscillates is:
Period is the reciprocal of frequency.
Calculate the frequency of oscillation.
The only parameter that the frequency depends on is the length . Decreasing length increases frequency.
Example Question #36 : Electricity And Waves
The wavelength of a ray of light travelling through a vaccuum is . What is the period of this wave?
In this question, we're given the wavelength of light in a vaccuum. Since we know that the speed of light in a vaccuum is equal to , we can first calculate the frequency of the light, and then use this value to calculate its period.
To begin with, we'll need to make use of the following equation to solve for frequency.
Then, using this value, we can calculate the period by noting that the period is the inverse of frequency.
And for completion's sake, it is worth noting that the period refers to the amount of time it takes for one wavelength to pass, which in this case is a very, very small fraction of a second!
Example Question #4 : Frequency And Period
Waves are hitting the side of a pier in a regular fashion. During 1 minute, waves that hit the side of the pier. Calculate the period of the waves during this time in seconds.
Cannot be determined.
In order to calculate the period , we need to find the frequency, , at which the waves hit the pier. We are told that waves hit within a window. Therefore,
. We can then calculate the period from this information.
Example Question #1 : Frequency And Period
How does the period of a pendulum react to its length quadrupling?
Increases twofold.
Increases by .
Decreases by .
Is cut in half.
Increases twofold.
The equation for the period of a pendulum is as follows: When quadrupling the length, the square root of four can be taken out which doubles the period.
Example Question #1 : Frequency And Period
A string produces the following frequencies: , , , and .
What is the fundamental frequency of this string?
Since the frequencies produced, differ by we know that the fundamental frequency must be the difference. This is because the fundamental is the very first frequency and the lowest one that can be produced.
Therefore the correct answer is .
Example Question #5 : Frequency And Period
A buoy is rocking in the ocean when a storm hits. From the lowest point to the highest point, the buoy goes up a total of . Over the last 20 minutes, the buoy has moved up and down a total of .
What is the frequency of the buoy's oscillation?
The buoy moves a total of . From the problem, you know the buoy moves a total of with every wavelength (10 meters up and 10 meters coming back down). This means that in 20 minutes, the buoy went through cycles. In order to find the frequency, you divide the total amount of cycles over the total amount of time in seconds that passed:
Example Question #6 : Frequency And Period
If the wavelength of a light wave is , what is the period of this wave?
To answer this question, it's important to have an understanding of the interrelationship between wavelength and period. Also, because we're told that this is a light wave, it's also essential that we know the speed at which light travels.
First, we can show an equation that relates wavelength and wave speed.
Moreover, we can relate the frequency of a wave to its period, both of which are inversely related to each other.
Using these two expressions, we can combine them into the following expression.
Next, we can rearrange the equation in order to isolate for the variable representing the period of the wave.
Lastly, we just need to plug in the value for wavelength given to us in the question stem, along with the speed of light, to obtain our answer.
What this answer tells us is that it will take in order for a single wavelength of light to cross a given point - a very, very short amount of time!
Example Question #1 : Frequency And Period
The frequency of a sound wave traveling through water at is record to be , what is the period of the wave?
Frequency is simply represent as the inverse of Period as represented below
where f is frequency and T is period. To solve the equation for period we just reverse the inverse relation
Example Question #1191 : Ap Physics 1
You and your friends are spending an afternoon at a lake. You are racing a friend across the lake while staying under the water. Being the faster swimmer, you are averaging a pace of about . Another friend on shore is cheering you on. If the average frequency of your friend's voice is 500Hz, and the wavelength of the sound in the water is 0.85m, what is the speed of the sound in the water?
This problem emphasizes the importance of being able to sift through a problem statement and pick out only the information you need to solve the problem. We are given four values, but only need two of them. If you are unable to sift through the problem effectively, you are likely to get bogged down by all the details and waste time performing unneeded calculations.
To find the speed of sound in the water, we only need one equation:
We are given the frequency of the sound and its wavelength in water. It is important to note that the frequency of a sound does not change as it enters a different medium; only the velocity and wavelength do.
Plugging in our values, we get:
If you got the answer 400 m/s, watch your units! You probably divided 340 m/s by 0.85 m, which gives you units of 1/s. That is a unit of frequency, not velocity.
Example Question #1192 : Ap Physics 1
One of your friends decides to do a massive cannonball into a swimming pool in an attempt to splash the lifeguard. Your friend hits the water from where the lifeguard is and the cannonball creates a series of waves. If one wave is created every 2 seconds, and there are four full waves between your friend and the lifeguard, what is the speed of the waves created?
In order to determine the velocity of a wave, we need to know the frequency and wavelength. From the problem statement, we know that a wave is created every 2 seconds. This is the period of the wave; therefore we can say that the frequency is:
Now we just need the wavelength. We are told that there are four full waves over a distance of 5 meters.
We can use the following formula to get the velocity:
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