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A large tank, filled with water to a height h, is to be emptied through a small hole at the bottom. The ratio of the time taken for the level to fall from h to h2  and that taken for the level to fall from h2  to 0 is

a
2
b
12
c
2−1
d
12−1

detailed solution

Correct option is C

Let t1  be the time taken by the level to fall fro h to h2  and t2  be the time taken by the level to fall from h2  to 0. Then t1∝[h−h2] And t2∝h2 ⇒  t1t2=1−1212=2−1

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