Question

Two cylindrical vessels of equal cross-sectional area 16 cm2 contain water upto heights 100 cm and 150 cm respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take, density of water = 103 kg/m3 and g = 10 ms–2]

• A. 0.25 J
• B. 1 J
• C. 8 J
• D. 12 J

Answer 1

Answer: (B)

1 J

Answer 2

The correct option is(B): 1 J.

A = 16 × 10–4 m2

$=pg\frac{A}{2}(H^2_1+H^2_1)=pg\frac{A}{2}(1^2+1.5^2)$

$W=pg\frac{A}{2}(3.25-3.125)=1\\.J$