Momentum and CollisionHard
Question
A U-tube of base length ′l′ filled with same volume of two liquids of densities ρ and 2ρ 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 -
Options
A.
B.
C.
D.
Solution
From right Limb
PA = Patm + hρg
PC = PA + ρa
+ (2ρ)a 
= PA +
ρal = Patm + hρg + 
ρal .....(i)From left limb PC = Patm + 2ρgh ......(ii)
⇒ Patm + hρg +
ρla = Patm + 2ρgh ⇒ h = 
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