Mechanical Properties of Fluids - Result Question 5

5. In rising from the bottom of a lake, to the top, the temperature of an air bubble remains unchanged, but its diameter gets doubled. If h is the barometric height (expressed in m of mercury of relative density ρ ) at the surface of the lake, the depth of the lake is

[1994]

(a) 8ρm

(b) 7ρm

(c) 9ρm

(d) 12ρh

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Answer:

Correct Answer: 5. (b)

Solution:

  1. (b) (hρg+H×1×g)43πr3=hρg×43π(2r)3

This gives H=7hρ



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