7 public questions tagged with this topic.
Gauge pressure: Pg = ρgh = 1.03×103×9.8×200 = 2.0194×106Pa. F = PgA = 2.0194×106×0.09 = 1.81746×105N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.82 × 10⁵ N. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
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.
ΔP = ρgh. ρ = 13.6×103kg/m3, g = 9.8m/s2, h = 0.25m. ΔP = 13.6×103×9.8×0.25 = 33320Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.33 × 10⁴ Pa. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
Fluids lack rigidity and cannot resist shear stress without flowing. Any attempt to apply shear stress causes deformation (flow), as fluids have no fixed shape, unlike solids, which resist shear due to strong intermolecular forces.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Gauge pressure: Pg = ρgh. ρ = 13.6×103kg/m3, g = 10m/s2, h = 2.5m. Pg = 13.6×103×10×2.5 = 3.4×105Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.4 × 10⁵ Pa. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
P = Pa+ρgh. Pa = 1.01×105Pa, ρ = 1.03×103kg/m3, g = 10m/s2, h = 300m. P = 1.01×105+1.03×103×10×300 = 1.01×105+3.09×106 = 3.191×106Pa. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.19 × 10⁶ Pa. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
Pascal’s law states that pressure in a fluid at rest is transmitted equally in all directions. At the same horizontal level, the depth (h) is constant, so P = Pa+ρgh is uniform, assuming no horizontal flow.
Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.
