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Water is dropped at the rate of 2 m^(3)/...

Water is dropped at the rate of 2 `m^(3)//s` into a cone of semi-vertical angle of `45^(@)`. The rate at which periphery of water surface changes when height of water in the cone is 2 m, is

A

0.5 m/s

B

2 m/s

C

3 m/s

D

1 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
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