On the basis of equation of continuity show that deep water runs slow.

Asked by Topperlearning User | 31st Jul, 2014, 01:51: PM

Expert Answer:

Consider a part of a river, which has got different depths d1 and d2 at the two places say A and B respectively. We assume that width b of the river is same throughout.

Area of cross-section of the river at A is a1 = bd1
And area of cross section of the river at B is a2 = bd2
If v1 and v2 are the values of velocity of flow of water at A and B respectively, then according to the equation of continuity, we have
a1v1 = a2v2
bd1v1 = bd2v2

Since d2 >d1, v2 < v1, it follows that the slow water runs deep.

Answered by  | 31st Jul, 2014, 03:51: PM