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#water speed

4 public questions tagged with this topic.

A pipe’s cross-sectional area changes from 0.1m2 to 0.025m2. If water flows at 2.2m/s in the larger section, what is the

Continuity equation: A1v1 = A2v2. A1 = 0.1m2, v1 = 2.2m/s, A2 = 0.025m2. v2 = A1v1A2 = 0.1×2.20.025 = 8.8m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 8.8 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

A pipe’s cross-sectional area decreases from 0.09m2 to 0.03m2. If water flows at 1.5m/s in the larger section, what is t

Continuity equation: A1v1 = A2v2. A1 = 0.09m2, v1 = 1.5m/s, A2 = 0.03m2. v2 = A1v1A2 = 0.09×1.50.03 = 4.5m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.5 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

Water flows through a pipe of area 0.05m2 at 1.5m/s. What is the speed in a section of area 0.015m2?

Continuity equation: A1v1 = A2v2. A1 = 0.05m2, v1 = 1.5m/s, A2 = 0.015m2. v2 = A1v1A2 = 0.05×1.50.015 = 5m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

A pipe’s cross-sectional area decreases from 0.15m2 to 0.05m2. If water flows at 1.8m/s in the larger section, what is t

Continuity equation: A1v1 = A2v2. A1 = 0.15m2, v1 = 1.8m/s, A2 = 0.05m2. v2 = A1v1A2 = 0.15×1.80.05 = 5.4m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5.4 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.