Question

Given three statements:
(i) Speed of liquid increases at a constriction.
(ii) If speed increases, pressure in a fluid also increases.
(ill) lf distance between streamlines decreases, the velocity increases. Then,

• A. (i) is correct
• B. only (ii) is correct
• C. (iii) is correct
• D. all of (i),(ii) and (iii) are correct

Answer 1

Answer: (A), (C)

The correct options are
A (i) is correct
C (iii) is correct

Decrease in distance between streamline implies decrease in area of crosssection
$v_1{A}_1=v_2{A}_2=constant$
Also as per the Bernoulli's principle we see that as the speed increases the pressure in the fluid decreases. Thus ii is incorrect.
The streamlines are the hypothetical flow lines. The denser the lines higher is the velocity, which can be derived from the continuity equation. Thus statement iii is correct.