21) What is the intensity level in decibels of a sound with intensity 10-4 W/m2? The threshold of human hearing is 1.0 x 10-12 W/m2. Show work. A) 30 dB B) 80 dB C) 90 dB D) 96 dB 22) What is the intensity of a 50-dB sound? The threshold of human hearing is 1.0 x 10-12 w/m2. Show work. A) 10-4 W/m2 B) 10-5 W/m2 C) 10-6 W/m2 D) 10-7 W/m2
21) What is the intensity level in decibels of a sound with intensity 10-4 W/m2? The threshold of human hearing is 1.0 x 10-12 W/m2. Show work. A) 30 dB B) 80 dB C) 90 dB D) 96 dB 22) What is the intensity of a 50-dB sound? The threshold of human hearing is 1.0 x 10-12 w/m2. Show work. A) 10-4 W/m2 B) 10-5 W/m2 C) 10-6 W/m2 D) 10-7 W/m2
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Please answer 21 and 22
![### Physics Problems on Sound Intensity Levels
Below are a couple of problems related to the calculation and understanding of sound intensity levels in decibels, along with their respective answers and explanations.
#### Question 21:
**What is the intensity level in decibels of a sound with intensity \(10^{-4} \, \text{W/m}^2\)? The threshold of human hearing is \(1.0 \times 10^{-12} \, \text{W/m}^2\).** *Show work.*
**Options:**
A) 30 dB
B) 80 dB
C) 90 dB
D) 96 dB
**Solution:**
To find the intensity level in decibels (dB), we use the formula:
\[ \text{Intensity Level (dB)} = 10 \log_{10} \left( \frac{I}{I_0} \right) \]
where:
- \( I \) is the intensity of the sound (\(10^{-4} \, \text{W/m}^2\))
- \( I_0 \) is the threshold of human hearing (\(1.0 \times 10^{-12} \, \text{W/m}^2\))
\[ \text{Intensity Level (dB)} = 10 \log_{10} \left( \frac{10^{-4}}{10^{-12}} \right) = 10 \log_{10} \left( 10^8 \right) = 10 \times 8 = 80 \, \text{dB} \]
Thus, the correct answer is:
**B) 80 dB**
#### Question 22:
**What is the intensity of a 50-dB sound? The threshold of human hearing is \(1.0 \times 10^{-12} \, \text{W/m}^2\).** *Show work.*
**Options:**
A) \(10^{-4} \, \text{W/m}^2\)
B) \(10^{-5} \, \text{W/m}^2\)
C) \(10^{-6} \, \text{W/m}^2\)
D) \(10^{-7} \, \text{W/m}^2\)
**Solution:**
To find the intensity of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc6b83f6-6fd0-4bf2-b4c8-4ee11df5765c%2F92af2ab1-4c11-4746-8965-36dc679217e5%2Ftg7mpgn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics Problems on Sound Intensity Levels
Below are a couple of problems related to the calculation and understanding of sound intensity levels in decibels, along with their respective answers and explanations.
#### Question 21:
**What is the intensity level in decibels of a sound with intensity \(10^{-4} \, \text{W/m}^2\)? The threshold of human hearing is \(1.0 \times 10^{-12} \, \text{W/m}^2\).** *Show work.*
**Options:**
A) 30 dB
B) 80 dB
C) 90 dB
D) 96 dB
**Solution:**
To find the intensity level in decibels (dB), we use the formula:
\[ \text{Intensity Level (dB)} = 10 \log_{10} \left( \frac{I}{I_0} \right) \]
where:
- \( I \) is the intensity of the sound (\(10^{-4} \, \text{W/m}^2\))
- \( I_0 \) is the threshold of human hearing (\(1.0 \times 10^{-12} \, \text{W/m}^2\))
\[ \text{Intensity Level (dB)} = 10 \log_{10} \left( \frac{10^{-4}}{10^{-12}} \right) = 10 \log_{10} \left( 10^8 \right) = 10 \times 8 = 80 \, \text{dB} \]
Thus, the correct answer is:
**B) 80 dB**
#### Question 22:
**What is the intensity of a 50-dB sound? The threshold of human hearing is \(1.0 \times 10^{-12} \, \text{W/m}^2\).** *Show work.*
**Options:**
A) \(10^{-4} \, \text{W/m}^2\)
B) \(10^{-5} \, \text{W/m}^2\)
C) \(10^{-6} \, \text{W/m}^2\)
D) \(10^{-7} \, \text{W/m}^2\)
**Solution:**
To find the intensity of
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