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A mass m in attached to a mass less stri...

A mass m in attached to a mass less string and swings in a horizontal circle, forming a conical pendulum, as shown in the figure. The other end of the string passes through a hole in the table and is dragged slowly so as to reduce the length `l`. The string is slowly drawn up so that the depth `h` shown in the figure becomes half. By what factor does the radius `(r)` of the circular path of the mass `m` change?

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The correct Answer is:
`((1)/(2))^(4)`
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