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JAMB Physics 1997 Question 18

Question 18

Pressure

A liquid of mass 1.0 × 103 kg fills a rectangular tank of length 2.5 m and width 2.0 m. If the tank is 4 m high, what is the pressure at the middle of the tank? [g = 10 m s−2]

  1. A.1.0 × 104 N m−2
  2. B.2.0 × 103 N m−2
  3. C.1.5 × 103 N m−2
  4. D.1.0 × 103 N m−2
Show the answer and explanation

Answer: D (1.0 × 103 N m−2)

Explanation

Volume = 2.5 × 2.0 × 4 = 20 m3, so density = 1000/20 = 50 kg m−3. At the middle (2 m deep), p = hρg = 2 × 50 × 10 = 1.0 × 103 N m−2.