AP Physics 1 : AP Physics 1

Study concepts, example questions & explanations for AP Physics 1

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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? 

Possible Answers:

Increasing the length 

Decreasing the length 

Increasing the initial angle 

Increasing the ball's mass 

Decreasing the ball's mass 

Correct answer:

Decreasing the length 

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Cannot be determined.

Correct answer:

Explanation:

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?

Possible Answers:

Increases twofold.

Increases by .

Decreases by .

Is cut in half.

Correct answer:

Increases twofold.

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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? 

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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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