A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity n . After some time the velocity of the ball attains a constant value known as terminal velocity V_{T} . The terminal velocity depends on (i) the mass of the ball m , (ii) n , (iii) r and (iv) acceleration due to gravity g . Which of the following relations is dimensionally correct
Text Solution
Verified by ExpertsA
By substituting dimension of each quantity in R.H.S. of option
we get \(\left[\frac{mg}{\eta r}\right] = \left[\frac{M \times L T^{-2}}{M L^{-1} T^{-1} \times L}\right]\) = \(\left[ L T^{-1} \right]\) .
This option gives the dimension of velocity.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems