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Flow of Water Towards the Oceans

why resevoirs...

Question

why resevoirs water handling capacity decreases by time

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Solution

Dear Student, With the passage of time the water handling capacity of decrease because when the water flows through the reservoir it also carries sediments. These sediments get deposited at the bottom of the reservoir taking the space of the water. This causes the reduction in capacity.

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A

B

are two separate reservoir of water. Capacity of reservoir

A

is double the capacity of reservoir

B

. Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir

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1.5

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.
After how many hours do both the resevoirs have the same quantity of water ?

Q. A & B are two separate reservoirs of water. The capacity of reservoir A is double the capacity of reservoir B. Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir A is

1.5

times the quantity of water in reservoir B. After how many hours do both the reservoirs have the same quantity of water?

(Enter n if the answer is

T = l o g_{4 / 3} n

A

B

are two separate reservoir of water. Capacity of reservoir

A

is double the capacity of reservoir

B

. Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir

A

1.5

times the quantity of water in reservoir

B

V_{A}

V_{B}

represents volume of the reservoirs

A

B

t

On the basis of above information, answer the following questions:

\frac{V_{A}}{V_{B}} = f (t)

t

f (t)

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