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A small uniform tube is bent into a circ...

A small uniform tube is bent into a circle of radius r whose plane is vertical. Equal volumes of two fluids whose densities are`rho` and `sigma(rhogtsigma)` fill half the circle. Find the angle that the radius passing through the interface makes with the vertical.

A

`theta=tan^(-1)((rho-sigma)/(rho+sigma))`

B

`theta=tan^(-1)((sigma-rho)/(sigma+rho))`

C

`theta=tan^(-1)((rho)/(rho+sigma))`

D

`theta=tan^(-1)((rho)/(rho-sigma))`

Text Solution

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The correct Answer is:
A
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