Photo AI

Sketch an equal loudness curve on Figure 3 showing the normal response of a healthy ear - AQA - A-Level Physics - Question 3 - 2022 - Paper 5

Question icon

Question 3

Sketch-an-equal-loudness-curve-on-Figure-3-showing-the-normal-response-of-a-healthy-ear-AQA-A-Level Physics-Question 3-2022-Paper 5.png

Sketch an equal loudness curve on Figure 3 showing the normal response of a healthy ear. Annotate the frequency axis with an appropriate scale. Figure 3 intensity ... show full transcript

Worked Solution & Example Answer:Sketch an equal loudness curve on Figure 3 showing the normal response of a healthy ear - AQA - A-Level Physics - Question 3 - 2022 - Paper 5

Step 1

Sketch an equal loudness curve

96%

114 rated

Answer

To sketch an equal loudness curve based on the response of a healthy ear:

  1. Draw a U-shaped curve on the graph. The lowest point of the graph should occur at around 3000 Hz.
  2. The frequency axis should be labeled correctly at intervals of 10, 100, 1000, and 10,000 Hz, ensuring clarity of the 3000 Hz mark.
  3. Ensure that the scale is appropriate, ideally with the range on the frequency axis showing these specific intervals cleanly.

Step 2

Describe the procedure used to gather the data for an equal loudness curve.

99%

104 rated

Answer

Different frequencies are played through earphones and compared to a 1 kHz reference signal. The volume is adjusted until the listener perceives the loudness of each frequency as equivalent to the reference tone at 1 kHz. This process helps to identify how perceived loudness varies with frequency.

Step 3

Calculate the intensity of a sound that produces an intensity level of 30 dB.

96%

101 rated

Answer

To calculate the intensity of a sound at 30 dB, use the formula:

I=10L10×10−12I = 10^{\frac{L}{10}} \times 10^{-12}

Substituting, where L=30L = 30 dB:

I=103010×10−12=103×10−12=10−9 W m−2I = 10^{\frac{30}{10}} \times 10^{-12} = 10^{3} \times 10^{-12} = 10^{-9} \text{ W m}^{-2}

Thus, the intensity is 10−910^{-9} W m².

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;