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The fraction of a floating object of vol...

The fraction of a floating object of volume `V_(0)` and density `d_(0)` above the surface of a liquid of density d will be

A

`(d_0)/(d)`

B

`(dd_(0))/(d+d_(0))`

C

`(d-d_(0))/(d)`

D

`(dd_(0))/(d-d_(0))`

Text Solution

Verified by Experts

The correct Answer is:
C
For the floation `V_(0)d_(0)g = V_(I n)dg implies V_(I n) = V_(0)(d_0)/(d)`
`:. V_(out) = V_(0)-V_(i n) = V_(0)-V_(0)(d_0)/(d) = V_(0)[(d-d_(0))/(d)]`
`:. (V_(out))/(V_0) = (d-d_(0))/(d)`.
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