NEET Physics Mechanical Properties of Fluids Questions Solved


A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by liquid at the other end is (B) MLm2 2 (C) MoL 4 2

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(3)

Work done=PE of the water=mgh2=4900J

 

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(1)

Let the speed of the flow be v. The diameter of the tap = d = 1.25 cm = 1.25 ×10-2 m Density of water = ρ = 103 kg m-3 Viscosity = η = 10-3PasThe volume of the water flowing out per second is  Q = v × πd2/4v = 4Q/d2πReynolds number is given by:R = ρvd η= 4ρQπdη=4 ×103 × Q  (3.14 × 1.25 ×10-2 × 10-3)= 1.019 × 108QQ = 3 L / min = 3 × 10-3 60=5 × 10-5m3/secR = 5095 The flow will be turbulent.

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Volume of the water=15 litre=15×10-3m3Volume=Area×length=Area×velocity×timeVelocity=15×10-3π×1×10-22×60=2.5πm/s

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(3)

P1=4Tr1 & V1=43πr13P2=4Tr2 & V2=43πr23Two bubbles coelesce isothermally:PV=P1V1+P2V24Tr×43πr3=4Tr1×43πr13+4Tr2×43πr23r2=r12+r22r=r12+r22=5cm

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