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When an air bubble of radius r rises from the bottom to the surface of a lake, its radius becomes 5r/4. Taking atmospheric pressure to be equal to 10m height of water column, the depth of the surface tension and the effect of temperature, would be approximately be (ignore surface tension and the effect of temperature)
- 10.5m
- 8.7m
- 11.2m
- 9.5m
Correct answer: 9.5m
Solution
The increase in the radius of the air bubble as it rises indicates a decrease in pressure due to the reduction in water column height. Using the ideal gas law and the relationship between pressure and volume, we can calculate the depth at which the bubble's radius changes, leading to the conclusion that the depth is approximately 9.5m.
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