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Question: Iceberg floats in sea water with a part of it submerged. The percentage fraction of the ice berg sub...

Iceberg floats in sea water with a part of it submerged. The percentage fraction of the ice berg submerged is (Density of ice = 09gcm3\mathrm { g } \mathrm { cm } ^ { - 3 } , density of sea water =1.1 g cm3= 1.1 \mathrm {~g} \mathrm {~cm} ^ { - 3 })

A

18%

B

12%

C

10%

D

8%

Answer

18%

Explanation

Solution

V be the volume of the iceberg, x be the volume out of sea water,

The iceberg is floating in sea water then

Or

Or 0.9 V=1.1 V1.1x0.9 \mathrm {~V} = 1.1 \mathrm {~V} - 1.1 \mathrm { x }

=0.2 V=1.1x= 0.2 \mathrm {~V} = 1.1 \mathrm { x }

xV=0.21.1\therefore \frac { \mathrm { x } } { \mathrm { V } } = \frac { 0.2 } { 1.1 }