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A bucket contains water filled upto a height= 15 cm. The bucket is tied to a rope which is passed over a frictionless light pulley and the other end of the rope is tied to a weight of mass which is half of that of the (bucket+water). The water pressure above the atmospheric pressure at the bottom is

Options

  1. A0.5 kPa
  2. B1 kPa
  3. C5 kPa
  4. D20kPa

Correct answer

B. 1 kPa

Step-by-step solution

P = h ρ g eff ⇒ P = h ρ g - a ....(1) a = M - M / 2 g M + M / 2 a = g 3 ....(2) From (1) & (2) P = 1 5 × 1 0 - 2 × 1 0 3 × g - g / 3 ⇒ P = 1 5 0 × 2 g 3 P = 1 0 0 0 P a ⇒ P = 1 kPa

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