A candle of diameter $ d$ is floating on a liquid in a cylindrical container of diameter $D $  $(D>>d)$  as shown in figure. If it is burning at the rate of $2$ cm/hour then the top of the candle will

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  • [AIIMS 2005]
  • A

    Remain at the same height

  • B

    Fall at the rate of $ 1\,cm/hour$

  • C

    Fall at the rate of $ 2\,cm/hour$

  • D

    Go up the rate of $1\,cm/hour$

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  • [KVPY 2021]

Write and prove Archimedes principle.