How many times the pressure amplitude is increased, if sound level is increased by `40 dB` ?

Explanation

`beta_(1) = 10 log"(I_(1))/(I_(0))`
`beta_(2) = 10 log'(I_(2))/(I_(0)) rArr beta_(2) - beta_(1) = 10 log"((I_(2)))/(I_(1))`
or `40 = 10 log_(10)((I_(2))/(I_(1))) rArr (I_(2))/(I_(1)) = 10^(4) = 10^(4)`
`I prop P_(0^(2)) (P_(02)^(2))/ (P_(01)^(2)) rArr (P_(02))/(P_(01)) = 100`
`P_(01) = 10^(2)P_(01)`