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A cylindrical container has a tiny hole at the bottom. The container is initially filled to its brim with water. If T is the time taken for it to be c
Question

A cylindrical container has a tiny hole at the bottom. The container is initially filled to its brim with water. If T is the time taken for it to be completely emptied, the graph of height of the water column as a function of time is closest to

A.

A

B.

B

C.

C

D.

D

Correct option is D

Concept:

The flow of water from a hole at the bottom of a container is governed by Torricelli's Law,

which states that the velocity of efflux of a fluid under gravity through an orifice at the bottom

of the container is proportional to the square root of the height of the fluid column.

Solution:

Option A:A straight line shows a constant rate of drainage, which is incorrect.

Option B:Shows no change until the very end, which doesn't match the continuous draining process.

Option C:Shows the wrong pattern of a steep drop does not matching Torricelli’s law.

Option D: Shows the right pattern of a steep drop followed by a slower decrease, matching Torricelli’s law.

Hence option(dis correct.

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