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Two solid spheres and of equal volumes but of different densities and are connected by a string. They are fully immersed in a fluid of density. They get arranged into an equilibrium state as shown in the figure with a tension in the string. The arrangement is possible only if

A

`d_(A) lt D_(F)`

B

`d_(B) gt d_(F)`

C

`d_(A) gt d_(F)`

D

`d_(A) + d_(B) = 2d_(F)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

For equilibrium
`d_(A)vg + d_(B)vg = d_(F)vg + d_(F)vg`
`rArr d_(F) = (d_(A) + d_(B))/(2) rArr` option `(D)` is correct
`d_(B) gt d_(F)` and `d_(A) lt d_(F)`
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