Q.

The level of water in a vessel falls from a height 36 cm to 16 cm in  6 minutes as water flows out through a hole in its bottom. At the end of next 3 minutes, the height of water level in the vessel will be

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a

6 cm

b

3 cm

c

9 cm

d

2 cm

answer is C.

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Detailed Solution

t∝h1−h2 63=36−1616−h=6−44−h2=24−h⇒4−h=1⇒h=3⇒h=9cm
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The level of water in a vessel falls from a height 36 cm to 16 cm in  6 minutes as water flows out through a hole in its bottom. At the end of next 3 minutes, the height of water level in the vessel will be