An iceberg is floating in an ocean. What fraction of its volume is above the water? (Given: density of ice= 900 k g / m 3 and density of ocean water = 1030 k g / m 3 ) A ) 90 103 ; B ) 13 103 ; C ) 10 103 ; D ) 1 103

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An iceberg is floating in an ocean. What fraction of its volume is above the water? (Given: density of ice=  900     k  g      /        m    3   and density of ocean water =  1030     k  g      /        m    3  )   A  )      90    103    ;    B  )      13    103    ;    C  )      10    103    ;    D  )      1    103

caggeosteanc · Accepted Answer

The true option is  B       13    103  Let V be the iceberg&#039;s volume and x be the proportion of that volume that is above the water.  Using law of floatation, Weight of the floating body = Weight of liquid displaced by part of the floating body inside the liquid.  Thus,   V      ρ          i      c      e        g  =  (  1  −  x  )  V      ρ          w      a      t      e      r        g Using the value of       ρ          i      c      e         and       ρ          w      a      t      e      r      , we get  (  1  −  x  )  =      900    1030      ⇒  x  =      13    103

An iceberg is floating in an ocean. What fraction of its volume is above the water? (Given: density of ice=900 kg/m^3 and density of ocean water =1030 kg/m^3) A)90/103; B)13/103; C)10/103; D)1/103

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