When liquid medicine of density is to be put in the eye
PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
When liquid medicine of density ρ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R . When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.
If r=5×10−4 m , ρ=103 kg m−3 , g=10 ms−2 , T=0.11 Nm−1 , the radius of the drop when it detaches from the dropper is approximately:
(A) 1.4×10−3 m
(B) 3.3×10−3 m
(C) 2.0×10−3 m
(D) 4.1×10−6 m