StatementI- - u-0 represents a fluid motion is irrotational velocity potential- where u - flow velocity of fluid-Statement II- u- represents the velocity u is gradient of a scalar function of velocity potential -

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Velocity Potential Function

StatementI: ▽...

Question

Statement(I): $▽ \times u = 0$ represents a fluid motion is irrotational velocity potential, where u = flow velocity of fluid.
Statement (II): $u = ▽ ϕ$ represents the velocity u is gradient of a scalar function of velocity potential $(ϕ)$

Statement - I is only correct

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Statement - II is only correct

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Statement - I and statement - II both are correct

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Statement -I and statement - II both are not correct

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Solution

The correct option is C Statement - I and statement - II both are correct
c

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Statement(I): ▽×u=0 represents a fluid motion is irrotational velocity potential, where u = flow velocity of fluid. Statement (II): u=▽ϕ represents the velocity u is gradient of a scalar function of velocity potential (ϕ)

The correct option is C Statement - I and statement - II both are correctc

Statement(I): $▽ \times u = 0$ represents a fluid motion is irrotational velocity potential, where u = flow velocity of fluid.
Statement (II): $u = ▽ ϕ$ represents the velocity u is gradient of a scalar function of velocity potential $(ϕ)$

The correct option is C Statement - I and statement - II both are correct
c