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Question: An iceberg is floating partially immersed in sea water. The density of sea water is 1.03 g cm<sup>–3...

An iceberg is floating partially immersed in sea water. The density of sea water is 1.03 g cm–3 and that of ice is 0.92 g cm–3. The approximate percentage of total volume of iceberg above the level of sea water is –

A

8

B

11

C

34

D

89

Answer

11

Explanation

Solution

(V – DV) × 1.03 × g = V × 0.92 × g

VΔVV=0.921.03\frac{V - \Delta V}{V} = \frac{0.92}{1.03}

ΔVV=10.921.03=0.111.03\frac { \Delta \mathrm { V } } { \mathrm { V } } = \frac { 1 - 0.92 } { 1.03 } = \frac { 0.11 } { 1.03 } ΔVV×100=111.0311\frac{\Delta V}{V} \times 100 = \frac{11}{1.03} \approx 11