A dilute oleic-acid solution contains 0.01 cm³ oleic acid per cm³ solution. A monomolecular film of area 4 cm² is made using 100 spherical drops of solution, each of radius (3/(40π))^(1/3) × 10⁻³ cm. If film thickness is x × 10⁻¹⁴ m, find x.

Physics · Properties of solid and fluid

JEE Mains 2021

A dilute oleic-acid solution contains 0.01 cm³ oleic acid per cm³ solution. A monomolecular film of area 4 cm² is made using 100 spherical drops of solution, each of radius (3/(40π))^(1/3) × 10⁻³ cm. If film thickness is x × 10⁻¹⁴ m, find x.