Physics, asked by kvstarun, 1 year ago

A U - tube of base length "L" filled with same volume of two liquids of densities p and 2p is moving
with an acceleration "a" on the horizontal plane. If the height difference between the two surfaces
(open to atmosphere) becomes zero, then the height h is given by :​

Answers

Answered by Fatimakincsem
3

The height "h" is given by h = 3La/2g

Explanation:

According to the question liquid of density "2ρ" should be behind that of "ρ" .

P(A) = P(atm) + ρgh

P(B) = P(A) + ρLa/2

       = P(atm) + ρgh + ρLa/2

P(C) = P(B) + 2ρLa/2

      = P(atm) + ρgh + ρLa/2 + ρLa

      =  P(atm) + ρgh + 3ρLa/2

Also, P(C) = P(atm) + 2ρgh

P(atm) + ρgh + 3ρLa/2 = P(atm) + 2ρgh

After cancellation:

3ρLa/2  = ρgh

h = 3La/2g

thus the height "h" is given by h = 3La/2g

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