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The pressure at the bottom of the tank is 4P,where P is atmispheric pressure.If water is drawn out till water level decreases by 3/5th ,then pressure at the bottom of the tank is 1)3P/8 2)7P/6 3)11P/5. 4)9P/4?
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The pressure at the bottom of the tank is 4P,where P is atmispheric pr...
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The pressure at the bottom of the tank is 4P,where P is atmispheric pr...
Given information:
- Pressure at the bottom of the tank is 4P, where P is atmospheric pressure.
- Water level decreases by 3/5th.

To find:
Pressure at the bottom of the tank after the water level decreases.

Explanation:
When water is present in a tank, the pressure at the bottom of the tank is determined by the weight of the water column above it. The pressure due to the weight of the water is given by the formula:

Pressure = Density x Acceleration due to gravity x Height

In this case, the density and acceleration due to gravity remain constant. Therefore, the pressure at the bottom of the tank is directly proportional to the height of the water column.

Step 1: Determine the initial height of the water column.
Let the initial height of the water column be 'h'. Since the water level decreases by 3/5th, the new height of the water column is (2/5)h.

Step 2: Calculate the initial pressure at the bottom of the tank.
The initial pressure at the bottom of the tank is 4P, where P is atmospheric pressure.

Step 3: Calculate the final pressure at the bottom of the tank.
Since pressure is directly proportional to the height of the water column, the pressure at the bottom of the tank after the water level decreases is given by:

Final Pressure = (2/5)h / h * Initial Pressure
Final Pressure = (2/5) * 4P
Final Pressure = 8P/5

Therefore, the pressure at the bottom of the tank after the water level decreases is 8P/5, which corresponds to option 3) 11P/5.

Final Answer:
The pressure at the bottom of the tank after the water level decreases is 11P/5.
Community Answer
The pressure at the bottom of the tank is 4P,where P is atmispheric pr...
11p/5
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The pressure at the bottom of the tank is 4P,where P is atmispheric pressure.If water is drawn out till water level decreases by 3/5th ,then pressure at the bottom of the tank is 1)3P/8 2)7P/6 3)11P/5. 4)9P/4?
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