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A cylinder of radius R, length Land density p floats. The cylinder is given a gentle downward push as a result of which there is a vertical displacement of size x; (undampe (D) oscillations is ______. -

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Question

A cylinder of radius R, length Land density p floats upright in a fluid of density p0. The cylinder is given a gentle downward push as a result of which there is a vertical displacement of size x; it is then released; the time period of resulting (undampe (D) oscillations is ______.

Options

  • `(2pi) sqrt(("P"_0"L")/"pg")`

  • `(2pi) sqrt(("pq")/("p"_0"L"))`

  • `(2pi) sqrt(("p""L")/("p"_0"g")`

  • `(2pi) sqrt(("P"_0"g")/"pa")`

MCQ
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Solution

A cylinder of radius R, length Land density p floats upright in a fluid of density p0. The cylinder is given a gentle downward push as a result of which there is a vertical displacement of size x; it is then released; the time period of resulting (undampe (D) oscillations is `underline((2pi) sqrt(("p""L")/("p"_0"g"))`.

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