In potential function, rotational component is:

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JKSSB JE CE 2021 Official Paper Shift 2 (Held on 27 Oct 2021)
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  1. 5/2 times vorticity
  2. 1/2 times vorticity
  3. 3/5 times vorticity
  4. 3/2 times vorticity

Answer (Detailed Solution Below)

Option 2 : 1/2 times vorticity
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Concept:

Vorticity(ξ):

It is defined as the ratio of limiting value of circulation and area of a closed contour. it measures the local rotation of a fluid parcel.  

Vorticity is defined as the twice of the rotational component.

ξ  = 2ω,

But, 

Where  represents velocity field

So vorticity is also equal to the curl of the velocity factor.

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