Properties of Matter 4 Question 14

16. If the piston is pushed at a speed of 5mms1, the air comes out of the nozzle with a speed of

(a) 0.1ms1

(b) 1ms1

(c) 2ms1

(d) 8ms1

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Answer:

Correct Answer: 16. λa2y

Solution:

  1. Terminal velocity vT=2r2g9η(ρSρL)

and viscous force F=6πηrvT

Rate of production of heat (power) : as viscous force is the only dissipative force.

Hence,

dQdt=FvT=(6πηrvT)(vT)=6πηrvT2=6πηr29r2gη(ρSρL)2=8πg227η(ρSρL)2r5 or dQdtr5



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