Astandard tone of 20,000 dynes/cm2 (about theloudness of a rock band) is assigned a value of 10. a subjectlistened to other sounds, such as a light whisper, normalconversation, thunder, a jet plane at takeoff, and so on. in eachcase, the subject was asked to judge the loudness and assign it anumber relative to 10, the value of the standard tone. this is a"judgement of magnitude" experiment. the power lawj=al0.3 was found to model the situation well, where l is the actual loudness (measured indynes/cm2 ) and j is the judged loudness. a. what is the value of a? b. what is the judged loudness if the actual loudness is 0.2dynes/cm2 (normal conversation)? c. what is the actual loudness if judged loudness is 20?