A right circular cone of density p, floats just immersed with its vertex downwards in a vessel containing two liquids of densities $${{\rho }_{1}}$$and $${{\rho }_{2}}$$ respectively, the planes of separation of the two liquids cuts off from the axis of the cone a fraction z of its length. Find z.

Question

TuteeHUB · Accepted Answer

$${{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}+{{\sigma }_{2}}} \right)}^{1/2}}$$

TuteeHUB · Answer

$${{\left( \frac{\rho +{{\sigma }_{2}}}{{{\sigma }_{1}}+{{\sigma }_{2}}} \right)}^{1/3}}$$

TuteeHUB · Answer

$${{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}-{{\sigma }_{2}}} \right)}^{1/3}}$$

TuteeHUB · Answer

$${{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}-{{\sigma }_{2}}} \right)}^{1/2}}$$

1.	A right circular cone of density p, floats just immersed with its vertex downwards in a vessel containing two liquids of densities \[{{\rho }_{1}}\]and \[{{\rho }_{2}}\] respectively, the planes of separation of the two liquids cuts off from the axis of the cone a fraction z of its length. Find z.
A.	\[{{\left( \frac{\rho +{{\sigma }_{2}}}{{{\sigma }_{1}}+{{\sigma }_{2}}} \right)}^{1/3}}\]
B.	\[{{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}-{{\sigma }_{2}}} \right)}^{1/3}}\]
C.	\[{{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}+{{\sigma }_{2}}} \right)}^{1/2}}\]
D.	\[{{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}-{{\sigma }_{2}}} \right)}^{1/2}}\]
Answer» C. \[{{\left( \frac{\rho -{{\sigma }_{2}}}{{{\sigma }_{1}}+{{\sigma }_{2}}} \right)}^{1/2}}\]

A right circular cone of density p, floats just immersed with its vertex downwards in a vessel containing two liquids of densities \[{{\rho }_{1}}\]and \[{{\rho }_{2}}\] respectively, the planes of separation of the two liquids cuts off from the axis of the cone a fraction z of its length. Find z.

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