A spherical solid ball of volume 'V' is made up of a material of density 'p1' It is falling through a liquid of density ' p2' (p2 < p1) Assume that the liquid applies a viscous force on the ball that is proportional to square of the terminal speed 'v1'. F = - Kv1² (K > 0) then the terminal speed of ball is: ( g = acceleration due to gravity) - VgyanHub

Question:

A spherical solid ball of volume ‘V’ is made up of a material of density ‘p1’ It is falling through a liquid of density ‘ p2’ (p2 < p1) Assume that the liquid applies a viscous force on the ball that is proportional to square of the terminal speed ‘v1’. F = – Kv1² (K > 0) then the terminal speed of ball is: ( g = acceleration due to gravity)

Options :

(a) (Vgp1)/K
(b) [(Vgp1)/K]½
(c) [(Vg (p1-p2))/K]½
(d) (Vg (p1-p2))/K

Answer :

(c) [(Vg (P1-p2))/K]½

Answer Steps :

Step 1:

Step 2:

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