NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Mechanical Properties of Fluids
NEET · Physics · Mechanical Properties of Fluids
A container filled with liquid is placed on a smooth surface. Two...
A container filled with liquid is placed on a smooth surface. Two points A and B are in same level as shown, state about pressures at these points for following cases, in which container accelerates along given direction
| Column-A | Column-B | ||
| (i) | a_x = 0, a_y \neq 0 | (A) | P_A = P_B |
| (ii) | a_x = 0, a_y = 0 | (B) | P_A > P_B |
| (iii) | a_x > 0, a_y = 0 | (C) | P_A < P_B |
| (iv) | a_x > 0, a_y > 0 |
Options
- Ai (\rightarrow) B, ii (\rightarrow) A, iii (\rightarrow) A, iv (\rightarrow) B
- Bi (\rightarrow) A, ii (\rightarrow A), iii (\rightarrow B), iv (\rightarrow B)
- Ci (\rightarrow) A, ii (\rightarrow) B, iii (\rightarrow) A, iv (\rightarrow B)
- Di (\rightarrow) B, ii (\rightarrow) A, iii (\rightarrow) B, iv (\rightarrow) A
Correct answer
B. i (\rightarrow) A, ii (\rightarrow A), iii (\rightarrow B), iv (\rightarrow B)
Step-by-step solution
Case (i): (a_x=0, a_y \neq 0)
- Vertical acceleration only (\rightarrow) pressure distribution changes with depth only, not horizontally.
- So, .
(\rightarrow) Matches A.
Case (ii):
- No acceleration (\rightarrow) normal hydrostatic condition.
- Same level (\Rightarrow) same pressure.
- So, .
(\rightarrow) Matches A.
Case (iii):
- Accelerating in (+x \Rightarrow) pressure increases opposite to acceleration (left side has higher pressure).
- A is on left, B on right (\Rightarrow P_A>P_B).
(\rightarrow) Matches B.
Case (iv):
- Combined acceleration: vertical affects depth, horizontal affects sidewise pressure.
- At same level, vertical component doesn't matter.
- So, still .
(\rightarrow) Matches B.