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Water is drained from a vertical cyli...

Water is drained from a vertical cylindrical tank by opening a valve at the base of the tank. It is known that the rate at which the water level drops is proportional to the square root of water depth `y ,` where the constant of proportionality `k >0` depends on the acceleration due to gravity and the geometry of the hole. If `t` is measured in minutes and `k=1/(15),` then the time to drain the tank if the water is 4 m deep to start with is (a) 30 min (b) 45 min (c) 60 min (d) 80 min

A

30 min

B

45 min

C

60 min

D

80 min

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
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  16. The equation of the curve passing through (3,4) and satisfying the dif...

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  18. The solution the differential equation (dy/dx)^2 - (dy/dx)(e^x+e^(-x))...

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