Statement I : 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.

Options

A. Statement-I is true, Statement-II is true and Statement-II is correct explanation for Statement-I.
B. Statement-I is true, Statement-II is true and Statement-II is not correct explanation of Statement-I.
C. Statement-I is true, Statement-II is false.
D. Statement-I is false, Statement-II is false.

Answer

A

Explanation

We know that volume flow rate (V) of an incompressible fluid in steady flow remains constant. `V=axxv`
where a = area of cross-section and v = velocity `rArr` If v decreases a increases and vice -versa. When stream of water moves up, its speed (v) decreases and therefore .a. increases i.e. the water spreads out as a fountain. When stream of water from hose pipe moves down, its speed increases and therefore, area of cross section decreases.
Therefore, statement - 1 is true and statement - 2 is the correct explanation of statement. - 1