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Pressure in a fluid at rest acts equally in all directions (Pascal’s law) and increases with depth (P = Pa+ρgh), not influenced by the container’s shape, ruling out options involving directionality or shape dependence.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
ρgh represents the hydrostatic pressure due to the weight of the fluid column above a point, increasing with depth, as it accounts for gravitational potential energy per unit volume. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Hydrostatic pressure. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
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