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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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