A thin metal disc of radius r floats on water surface and bends the surface downwards along the perimeter making an angle θ with vertical edge of the disc. If the disc displaces a weight of water W and surface tension of water is T, then the weight of metal disc is

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2πrT+W

2πrT cos θ - W

2πr T cos θ + W

W - 2πrT cos θ

answer is C.

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Detailed Solution

Weight of metal disc = total upward force= upthrust force + force due to surface tension= weight of displaced water + T cos θ (2πr)= W + 2π rT cos θ

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