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JEE Mains · Physics · STD 11 - 9.1 fluid mechanics

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil is _______.(specific gravity of Kerosene oil \(=0.8\), specific gravity of ice \(=0.9\) )

  1. A \(8: 9\)
  2. B \(5: 4\)
  3. C \(9: 10\)
  4. D  \(1: 1\)
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Answer & Solution

Correct Answer

(D)  \(1: 1\)

Step-by-step Solution

Detailed explanation

\(\mathrm{v}_1=\text { volume immersed in water. }\) \(\mathrm{v}_2=\text { volume immersed in oil. }\) \(\mathrm{v}_1 \rho_{\mathrm{w}} \mathrm{g}+\mathrm{v}_2 \rho_{\mathrm{o}} \mathrm{g}=\left(\mathrm{v}_1+\mathrm{v}_2\right) \rho_{\mathrm{c}} \mathrm{g}\)…
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