Question

A body floats on water and then also on an oil of density $1.25$. Which of the following is/are true?

• A. The body less more weight in oil then in water.
• B. The volume of water displaced is $1.25$ times that of oil displaced.
• C. The body experience equal upthrust from water and oil.
• D. Apparent weight is zero in both cases.

Answer 1

Answer: (B), (C), (D)

The correct options are
B The volume of water displaced is $1.25$ times that of oil displaced.
C The body experience equal upthrust from water and oil.
D Apparent weight is zero in both cases.

In water -

Let in this case volume of object submerged $=$ volume of water displaced to be $v_1$

Floating condition -

$\Rightarrow v_{1}g=vdg$

$\Rightarrow v_1=vd$

In oil -

Similarly let volume of object submerged $=$ volume of oil displaced $=v_2$

Floating condition -

$\Rightarrow v_2\left(1.25\right)g=vdg$

$\Rightarrow v_2=\frac{vd}{1.25}=\frac{v_1}{1.25}$

$\Rightarrow v_1=1.25v_2$ (A)

In both the cases, object is floating. So apparent weight will be zero in both case.

Hence, this question has multiple answers.