Understanding Decibels and Intensity

The video tutorial explains how to calculate the loudness level in decibels for a given sound intensity. It starts by introducing the formula for loudness level and demonstrates the process of substituting a specific intensity value into the formula. The tutorial then simplifies the expression using exponent rules and applies logarithm properties to find the decibel level. The final result is a decibel level of 70, and the video concludes with a brief summary and closing remarks.

What is the formula used to calculate the loudness level in decibels?

• D = 20 * log(I / 10^12)

• D = 20 * log(I / 10^-12)

• D = 10 * log(I / 10^-12)

• D = 10 * log(I / 10^12)

What is the intensity value given in the problem?

• 10^-5 watts per square inch

• 10^5 watts per square inch

• 10^12 watts per square inch

• 10^-12 watts per square inch

When simplifying the quotient, what is the result of 10^-5 divided by 10^-12?

• 10^-7

• 10^7

• 10^17

• 10^-17

Which property of exponents is used to simplify the expression 10^-5 / 10^-12?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What is the value of log base 10 of 10^7?

• 0

• 7

• 10

• 1

What is the final decibel level calculated in the video?

• 30

• 70

• 50

• 100