Statement I: A 80 dB sound has twice the intensity of a 40 dB sound.
Statement II: Loudness of a sound of a certain intensity I is defined as
`L("in "dB)=10log_(10)=(I)/(I_0)`

Options

A. Statement I is true, Statement II is true: Statement II is a correct explanation for statement I.
B. Statement I is true, Statement II is true, Statement II is NOT a correct explanation for Statement I.
C. Statement I is true, Statement II is false
D. Statement I is falce: Statement II is true

Answer

D

Explanation

`L("in "dB)=10log_(10)((I)/(I_0))`
`impliesI=I_10^((L)/(10))`
`(I_(80))/(I_(40))=(10^8)/(10^4)=10^4`