. A small sphere of radius r falls from rest in a viscous
liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity, is proportional to
A: r5
B: r3
C: r4
D: r2
Best Answer
Explanation:
Rate of heat generation due to viscous forces can be given by
P = Fv
Where P is the rate of heat generation, F is the force and v is the velocity.
When spherical ball attains terminal velocity (v0), the rate of heat generation
P = Fv0
Hence the rate of production of heat when the sphere attains its terminal velocity, is proportional to r5.
Final Answer:
Rate of production of heat when the sphere of radius r attains its terminal velocity, is proportional to r5. Hence the correct option is option (A ) .
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