-
A cubic block of side L and mass M is dragged over an oil film across table by a string connects to a hanging block of mass m as shown in figure. The Newtonian oil film of thickness h has dynamic viscosity μ and the flow condition is laminar. The acceleration due to gravity is g. The steady state velocity V of block is
-
-
Mgh μL²
-
Mgh μ
-
mgh μL²
-
mgh μ
-
Correct Option: C
τ = μ | ||||
dy |
du = V – O – V
dy = h
τ = u | ...(1) | |
h |
Also , τ = | ||
A |
where F = mg , A = L2
∴ τ = | ......(2) | |
L2 |
By (1) (2), we get
V = | ||
uL2 |