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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

`cottheta=(rho-sigma)/(rho+sigma)`

B

`tantheta=(rho-sigma)/(rho+sigma)`

C

`sintheta=(rho+sigma)/(rho-sigma)`

D

`sintheta=(rho)/(sigma)`

Text Solution

Verified by Experts

Taking torque about the point O.
`:. rhoVrsin(45^(@)-theta)g=sigmaVrsin(45^(@)-theta)g`
`tan theta=(rho-sigma)/(rho+sigma)`
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