STATEMENT-1 The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down. and STATEMENT-2 In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

Question

STATEMENT-1 The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down. and STATEMENT-2 In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant. (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1 (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 (C) STATEMENT -1 is True, STATEMENT-2 is False (D) STATEMENT -1 is False, STATEMENT-2 is True

Tardigrade Admin · Accepted Answer

According to equation of continuity, A1 v1=A2 v2, when the hose pipe is held vertically up, the speed of the water, v, decreases since the liquid moves up. Hence, the area of cross-section of the liquid, which comes out, increases resulting in the formation of a fountain. The reverse happens when the hose pipe is held vertically down. The speed increases and the area of cross-section decreases.