Reason (R): Loudness of a sound of a certain intensity ('I') is defined as \(L = 10 log_{10} left(frac{I}{I_0}right)\).
Solution:
Assertion (A) is false. An 80 dB sound has an intensity \(10^4\) times greater than a \(40 \text{ dB}\) sound, not twice. Reason (R) is true as it correctly defines loudness in decibels.
Since (A) is false and (R) is true, and the option for 'A is false, R is true' is not provided, option (4) is selected as it states (A) is false.
Leave a Reply