AP EAMCET · PHYSICS · Mechanical Properties of Fluids
In a water tank, an air bubble rises from the bottom to the top surface of the water. If the depth of the water in the tank is 7.28 m and atmospheric pressure is 10 m of water, then the ratio of the radii of the bubble at the bottom of the tank and at the top surface of the water is
(Temperature of the water in the tank is constant)
- A \(2: 3\)
- B \(5: 6\)
- C \(3: 4\)
- D \(4: 5\)
Answer & Solution
Correct Answer
(B) \(5: 6\)
Step-by-step Solution
Detailed explanation
\(P_t = P_{atm} = 10 \text{ m of water}\) \(P_b = P_{atm} + h = 10 + 7.28 = 17.28 \text{ m of water}\) \(P_b V_b = P_t V_t \Rightarrow P_b \left(\frac{4}{3}\pi R_b^3\right) = P_t \left(\frac{4}{3}\pi R_t^3\right)\)…
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