#mechanical advantage

Surface Tension, Capillarity and Excess Pressure

A hydraulic lift raises a 1800kg load using a small piston of radius 3cm and a large piston of radius 15cm. What force i

F1 = A1A2F2, F2 = 1800×9.8 = 17640N. A1 = π(0.03)2, A2 = π(0.15)2, A1A2 = 0.00090.0225 = 125. F1 = 1764025 = 705.6N≈706N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 706 N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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

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Bernoulli's Theorem and Applications

A hydraulic system applies 180N on a small piston of area 0.012m2. What force is exerted by a large piston of area 0.06m

Pascal’s law: P = F1A1 = F2A2. F2 = F1×A2A1. F1 = 180N, A1 = 0.012m2, A2 = 0.06m2. F2 = 180×0.060.012 = 180×5 = 900N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 900 N. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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

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Bernoulli's Theorem and Applications

A hydraulic lift raises a 2000kg load using a small piston of radius 5cm and a large piston of radius 20cm. What force i

F1 = A1A2F2, F2 = 2000×10 = 20000N. A1 = π(0.05)2, A2 = π(0.2)2, A1A2 = 0.00250.04 = 116. F1 = 2000016 = 1250N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1250 N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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

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Equation of Continuity and Flow Rate

A hydraulic lift raises a 1400kg load using a small piston of radius 2.5cm and a large piston of radius 10cm. What force

F1 = A1A2F2, F2 = 1400×9.8 = 13720N. A1 = π(0.025)2, A2 = π(0.1)2, A1A2 = 0.0006250.01 = 116. F1 = 1372016 = 857.5N≈858N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 858 N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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

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