Question
A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity η . After some time the velocity of the ball attains a constant value known as terminal velocity vr. The terminal velocity depends on (i) the mass of the ball m, (ii) η, (iii) r and (iv) acceleration due to gravity g . Which of the following relations is dimensionally correct
Answer: Option A
:
A
By substituting dimension of each quantity in R.H.S. of option (a) we get [mgηr]=[M×LT−2ML−1T−1×L]
=[LT−1].
This option gives the dimension of velocity.
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:
A
By substituting dimension of each quantity in R.H.S. of option (a) we get [mgηr]=[M×LT−2ML−1T−1×L]
=[LT−1].
This option gives the dimension of velocity.
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