Calculating Frequency (OCR AS Physics)

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Katie M

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Katie M

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Calculating Frequency

  • Frequency (f) is defined by the equation:

Frequency equation, downloadable AS & A Level Physics revision notes

  • Where T is the time period, the time taken for one complete oscillation or cycle of the wave

Worked example

Calculate the frequency of the following wave:WE - Wave equation question image, downloadable AS & A Level Physics revision notes 

Step 1: List the known quantities

    • Period, T = 0.28 ms = 0.28 × 10-3 s

Step 2: Write down the frequency equation 

Step 3: Substitute in the values

f = 1 ÷ (0.28 × 10-3) = 3571.4 = 3.57 kHz

Examiner Tip

When using the frequency equation, always make sure the time period is in seconds to get the value of the frequency in Hertz (Hz)

Determining Frequency from an Oscilloscope

  • A Cathode-Ray Oscilloscope (CRO) is a laboratory instrument used to display, measure and analyse waveforms of electrical circuits
  • The x-axis is the time-base and the y-axis is the voltage (or y-gain)
    • The time-base is important for calculating the frequency of the signal

CRO diagram, downloadable AS & A Level Physics revision notes

Diagram of Cathode-Ray Oscilloscope display showing wavelength and time-base setting

  • The frequency of a wave is determined from the time period of the wave
  • The period can be determined from the time-base
    • This is how many seconds each division represents measured commonly in s div-1 or s cm-1

  • Dividing the total time by the number of wavelengths will give a value for T
    • Use as many wavelengths shown on the screen as possible to reduce uncertainties

  • The frequency is then determined using the equation:

Frequency-period equation, downloadable AS & A Level Physics revision notes

Worked example

A cathode-ray oscilloscope (c.r.o.) is used to display the trace from a sound wave. The time-base is set at 7 µs mm-1.WE - CRO question image, downloadable AS & A Level Physics revision notes

What is the frequency of the sound wave?

A    2.4 Hz          B     24 Hz             2.4 kHz             24 kHz

 

Answer:

Remember that the time base is the scale of the horizontal c.r.o. axis, so one division represents 7 µs mm-1 

WE - CRO answer image, downloadable AS & A Level Physics revision notes

The time base has units of µs mm-1 which means that the cm division needs to be converted to mm first.

Examiner Tip

The time-base setting varies with units for seconds (commonly ms) and the unit length (commonly mm). Unit conversions are very important when calculating the time period and frequency.

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Katie M

Author: Katie M

Expertise: Physics

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.