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Consider, water be flowing in a river of width b. Let d 1 and d 2 (d 1 < d 2 ) be the depth of river at two different places in the river. The velocity of water at these two places be respectively v 1 and v 2. Therefore, according to the equation of continuity, That is why depth is more; speed is less and vice versa. Hence deep water runs slow and shallow water runs fast.

Mechanical Properties of Fluids

Question

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Why does deep water run slow?

Answer

Consider, water be flowing in a river of width b.

Let d₁ and d₂ (d₁ < d₂) be the depth of river at two different places in the river.

The velocity of water at these two places be respectively v₁ and v_2.
Therefore, according to the equation of continuity,

That is why depth is more; speed is less and vice versa.

Hence deep water runs slow and shallow water runs fast.