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Q.

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 h4  and that taken for the level to fall from h4  to 0 is

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a

1:2

b

2:1

c

1:1

d

3:1

answer is C.

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Detailed Solution

t1∝h1−h2⇒t1t2=h−h4h4−0=h(1−12)h(12)  t1t2=2−1212=1212=1:1
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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 h4  and that taken for the level to fall from h4  to 0 is