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A mercury drop shaped as a round tablet ...

A mercury drop shaped as a round tablet of radius `R` and and thickness `h` is located between two horizontal glass plates. Assuming that `h lt lt R`, find the mass `m` of a weight which has to be placed on the upper plate to diminish the distance between the plates n-times. The contact angle equals `theta`. Calculate `m` if `R = 2.0 cm, h = 0.38 mm, n = 2.0`, and `theta = 135^@`.

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