Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The absolute pressure at a depth h below the free surface of a liquid is not directly proportional to the depth h . Reason (R): Absolute pressure is the sum of atmospheric pressure and gauge pressure, where the atmospheric pressure acts as a non-zero constant. In the light of the above statements,

Step-by-step solution

The absolute pressure P at a depth h is given by P = P_ atm + g h . For a quantity to be directly proportional to another, their relationship must be of the form y = kx (a straight line passing through the origin). Because of the presence of the atmospheric pressure term ( P_ atm ), which is a non-zero constant, the relationship between P and h is linear but not directly proportional. The graph of P versus h has a positive y-intercept. Therefore, the Assertion is true. The Reason correctly identifies that the absol