Final answer:
The question requires additional information to calculate the thickness of the oil film for a flat plate sliding down an inclined plane using fluid dynamics principles.
Step-by-step explanation:
The question involves finding the thickness of the oil film when a flat plate slides down an inclined plane with specific conditions. This problem can be approached by using the principles of fluid dynamics, specifically the theory of lubrication which includes the viscosity of the oil and the shear stress experienced by the fluid layer due to movement. However, we are not provided with enough information, such as the dimensions of the plate or the relationship between the applied force (weight component down the slope) and the shear stress on the oil layer, to use the Newton's law of viscosity and calculate the oil film thickness precisely.
Since we cannot accurately solve the problem with the available information, we are unable to determine whether the correct answer is 0.001m, 0.003m, 0.005m, or 0.007m. This calculation typically requires detailed specifications regarding the plate and the characteristics of the motion through the oil layer, such as the plate's area or the velocity profile.