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A bottle of equal body and neck heights h has area of mouth and base $A_{1}$ and $A_{2}$ respectively. Liquid of density p is filled completely.

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Hydrostatic pressure at the base is $2 h p g$

Force due to liquid at the base is $2 A_{2} h ρ g$

Thrust force exerted on the horizontal portion at neck is $ρ g h (A_{2} - A_{1})$

Force due to liquid at the base is $2 A_{1} h ρ g$

answer is A, B, C.

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Detailed Solution

Pressure at the base is $2 h \cdot ρ \cdot g$ and force is $P A_{2} = 2 h ρ g A_{2}$ .

Pressure at the neck is $h ρ g$ and area of the horizontal portion of neck is $(A_{2} - A_{1})$ , so, force is $ρ gh (A_{2} - A_{1})$

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