Question:
What will be the resultant decibel level when two sources make noise of equal decibels?
What will be the resultant decibel level when two sources make noise of equal decibels?
Show Hint
Remember:
\[
\boxed{
\text{Equal sound levels} \Rightarrow +3\text{ dB}
}
\]
Examples:
\[
60\text{ dB}+60\text{ dB}=63\text{ dB}
\]
\[
70\text{ dB}+70\text{ dB}=73\text{ dB}
\]
Updated On: Jul 23, 2026
- Decibel level will be the same
- Decibel level will increase by \(3\) decibels
- Decibel level will decrease by \(3\) decibels
- Decibel level will be equal to the sum of decibels of the two sources
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The Correct Option is B
Solution and Explanation
Concept:
The decibel scale is logarithmic. Therefore, sound levels cannot be added directly.
When two independent sound sources produce equal sound levels,
\[
\boxed{
L_{\text{total}}=L+3\text{ dB}
}
\]
where
\[
L=\text{Sound level of each source}.
\]
Step 1: Understand logarithmic addition. If two identical sound sources operate simultaneously, their sound intensities double. The increase in sound level is \[ 10\log_{10}(2)\approx3\text{ dB}. \]
Step 2: Determine the resultant sound level. Hence, \[ \boxed{\text{The resultant sound level increases by }3\text{ dB}.} \] Therefore, the correct option is \[ \boxed{(B)\;\text{Decibel level will increase by }3\text{ decibels}.} \]
Step 1: Understand logarithmic addition. If two identical sound sources operate simultaneously, their sound intensities double. The increase in sound level is \[ 10\log_{10}(2)\approx3\text{ dB}. \]
Step 2: Determine the resultant sound level. Hence, \[ \boxed{\text{The resultant sound level increases by }3\text{ dB}.} \] Therefore, the correct option is \[ \boxed{(B)\;\text{Decibel level will increase by }3\text{ decibels}.} \]
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