Questions: If you change from transducer with a 40 mm crystal thickness to one with a 20 mm crystal thickness, the frequency of the sound produced will: Select one answer A decrease by 1 / 4 B double C increase by a factor of 4 D increase by 1 / 2

If you change from transducer with a 40 mm crystal thickness to one with a 20 mm crystal thickness, the frequency of the sound produced will:

Select one answer

A decrease by 1 / 4
B double
C increase by a factor of 4
D increase by 1 / 2

Transcript text: If you change from transducer with a 40 mm crystal thickness to one with a 20 mm crystal thickness, the frequency of the sound produced will: Select one answer A decrease by $1 / 4$ B double C increase by a factor of 4 D increase by $1 / 2$

Solution

Solution Steps

Step 1: Understand the relationship between crystal thickness and frequency

The frequency of the sound produced by a transducer is inversely proportional to the thickness of the crystal. This means that if the thickness of the crystal decreases, the frequency increases.

Step 2: Calculate the change in thickness

The original crystal thickness is 40 mm, and the new crystal thickness is 20 mm. The thickness is halved.

Step 3: Determine the effect on frequency

Since the frequency is inversely proportional to the thickness, halving the thickness will double the frequency.

Step 4: Select the correct answer

The frequency of the sound produced will double.

Answer: B double