Physics And Measurement Question 266

Question: A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η . The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity (v) is called time constant (τ) . Dimensionally τ can be represented by:

Options:

A) mr26πη

B) (6πmrηg2)

C) m6πηrv

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

[d] F=6πηrv
⇒mg=6πηrv (dimensionally) Check options dimensionally

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