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EXAM PREPARATION

Objective Question & Answer

QUESTION

Objective Question

Q.1

Assertion (A): A discrete particle (of diameter d0) settling in a circular sedimentation tank follows a parabolic path.

Reason (R): The downward settling velocity (v0) of the discrete particle (of diameter d0) in a circular sedimentation tank does not change with time.

A

Both A and R are true and R is the correct explanation of A

B
Both A and R are true but R is not a correct explanation of A
C
A is true but R is false
D

A is false but R is true

Answer ( Option B)

Both A and R are true but R is not a correct explanation of A

Solution

When the flow in circular sedimentation tank enters at centre and flows radially towards the perimeter, the horizontal velocity of the water is

continually decreasing as the distance from the centre increases. Thus, discrete particle with settling velocity (Vo) is continually undergoing

a change in its absolute flow velocity due to the increasing area of flow and hence horizontal velocity decrease in flow direction as the

horizontal velocity is decreasing and vertical velocity is constant. Thus, the particle path in a circular basin is a parabola as opposed to 

straight path line in long rectangular tank. 

The reason for parabolic path is therefore the decreasing horizontal velocity, not the constant vertical velocity

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