First slide

Fluid statics

Question

A body floats in a liquid of relative density 1.5 with 40% of its volume outside that liquid. If 50% of volume of same body remain in oil, the relative density of oil is

Moderate

A

1.0
B

1.5
C

1.8
D

1.75

Solution

$c o n d i t i o n o f f l o a t i n g B u o y a n t f o r c e i s e q u a l t o w e i g h t o f t h e b o d y i . e V_{i n s i d e} \times d_{l} = w e i g h t o f t h e b o d y h e r e 0.6 V 1.5 = W 0.5 V d_{o i l} = W e q u a t i n g w e g e t d_{o i l} = 1.8$

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