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NEET generalGeneralMedium

Question

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

r5r^5

B

r2r^2

C

r3r^3

D

r4r^4

Step-by-Step Solution

Sol. Power=6πηrVT⋅VT=6πηrVT2\text{Power} = 6\pi\eta r V_T \cdot V_T = 6\pi\eta r V_T^2

VT∝r2V_T \propto r^2

⇒Power∝r5\Rightarrow \text{Power} \propto r^5

Exam Context & Concepts Covered

This question aligns with the NEET general syllabus, specifically targeting concepts from General. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

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