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Question

A light semi-cylindrical gate of radius R is pivoted at its midpoint O, of the diameter as shown in the figure holding liquid of density ρ. The force F required to prevent the rotation of the gate is equal to:
1162729_ff8498dbcf8a4b6ab7e368e1acb7c223.png

A
2πR3ρg
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B
2ρgR3l
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C
2R2lρg3
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D
None of these
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