Momentum and CollisionMedium

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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