1.

Figure shows a solid sphere positioned just below the surface of a fluid and held there. Let the density of the fluid be sigma, force applied by fluid on the upper half of the sphere be F_(1) and the force on lower half be F_(2) (excluding the contribution due to atmospheric pressure). Pick correct option (s):

Answer»

`F_(1)=1/3pir^(3)sigmag`
`F_(2)=5/3pir^(3)sigmag`
`F_(1)=2/3pir^(3)sigmag`
`F_(2)=6/3pir^(3)g`

Solution :`F_(B)=pir^(3)sigmag-F_(1)=2/3pir^(3)sigmag`
`impliesF_(1)=1/3 pir^(3) sigma g`
THUS, `F_(2)=5/3 pir^(3)g`


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