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Consider a cylinder of height h cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of n turns (in other words, the string‟s length is the minimum length required to wind n turns.)

What is the vertical spacing in cms between two consecutive turns?

- $\frac{h}{n}$
- $\frac{h}{\sqrt{n}}$
- $\frac{h}{n^2}$
- Cannot be determined with given information