Match the Columns Column-I Column-IIA)Hydrostatic force on the side wall of the cubical vessel of area of cross section A is (ρ = density of liquid, neglect atmospheric pressure) P)Aρv2B)Buoyant force on the cube of area of cross section A is (ρ = density of liquid) Q)12Aρv2C)Impact (reaction) force on the vessel by the liquid coming out of the vessel, (ρ = density of liquid) R)ρghAD)Aerodynamic force acting on the flat roof surface of area A, ρ= density of air (Assume speed of air above the plate is v and below the plate is 0) air S)12ρghA

Force of buoyancy FB=Vinρg=Ahρg Hydrostatic force on side wall of cube FH= average pressure x area FH=12ρghA Impact force on vessel F=Av2ρ Aerodynamic force on flat roof =Av2ρ

Match the Columns Column-I Column-IIA)Hydrostatic force on the side wall of the cubical vessel of area of cross section A is (ρ = density of liquid, neglect atmospheric pressure) P)Aρv2B)Buoyant force on the cube of area of cross section A is (ρ = density of liquid) Q)12Aρv2C)Impact (reaction) force on the vessel by the liquid coming out of the vessel, (ρ = density of liquid) R)ρghAD)Aerodynamic force acting on the flat roof surface of area A, ρ= density of air (Assume speed of air above the plate is v and below the plate is 0) air S)12ρghA

Force of buoyancy FB=Vinρg=Ahρg Hydrostatic force on side wall of cube FH= average pressure x area FH=12ρghA Impact force on vessel F=Av2ρ Aerodynamic force on flat roof =Av2ρ

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Match the Columns
Column-I Column-II
A)
Hydrostatic force on the side wall of the cubical vessel of area of cross section A is ( $ρ$ = density of liquid, neglect atmospheric pressure)

P) $A ρ v^{2}$
B) Buoyant force on the cube of area of cross section A is ( $ρ$ = density of liquid) Q) $\frac{1}{2} A ρ v^{2}$
C)
Impact (reaction) force on the vessel by the liquid coming out of the vessel,
( $ρ$ = density of liquid)

R) $ρ g h A$
D)
Aerodynamic force acting on the flat roof surface of area A, $ρ$ = density of air (Assume speed of air above the plate is v and below the plate is 0) air
S) $\frac{1}{2} ρ g h A$

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$a \to q, b \to p, c \to s, d \to r$

$a \to s, b \to r, c \leftrightarrow p, d \to q$

$a \to r, b \to q, c \to s, d \to p$

$a \to p, b \to s, c \to q, d \to r$

answer is C.

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Detailed Solution

Force of buoyancy $F_{B} = V_{i n} ρ g = A h ρ g$
Hydrostatic force on side wall of cube $F_{H}$ = average pressure x area $F_{H} = \frac{1}{2} ρ g h A$
Impact force on vessel $F = A v^{2} ρ$
Aerodynamic force on flat roof $= A v^{2} ρ$

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