You are performing an AFM measurement of CNTs on a surface. a) What is the apparent or measured radius (width) of a CNT of

•     You are performing an AFM measurement of CNTs on a surface. 
• a) What is the "apparent" or "measured" radius (width) ρ of a CNT of radius r if the radius of the AFM tip is R?
•     Derive an algebraic expression for ρ, showing all relevant steps.
• b) Can a carbon nanotube of diameter 1 nm lying on a flat surface be "detected" by your AFM with a Si3N4 tip radius of 10 nm?
•     Can it be "resolved"?
•      Discuss qualitatively the difference between resolution and detection.
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