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The pressure at the bottom of a tank of water is 3 P where P is the atmospheric pressure. If the water is drawn out till the level of water is lowered by one-fifth, the pressure at the bottom of the tank will now be

Options

  1. A2 P
  2. B13 5 P
  3. C8 5 P
  4. D4 5 P

Correct answer

B. 13 5 P

Step-by-step solution

P + h ρ g = 3 P h ρ g = 2 P ...(1) P ′ = P + 4 5 h ρ g ...(2) From (1) and (2) P ′ = P + 4 5 × 2 P ⇒ P ′ = 1 3 P 5

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