KVPY SA Exam 2012 Question Paper

Question : 27 of 80

Marks: +1, -0

A solid cube and a solid sphere both made of same material are completely submerged in water but to different depths. The sphere and the cube have same surface area. The buoyant force is

greater for the cube than the sphere
greater for the sphere than the cube
same for the sphere and the cube
greater for the object that is submerged deeper

Validate

Solution:

buyount force B

=Vρ_lg,

\V_\cube/\V_\sphere=a^3/{4/3πR^3}

but it is given

6a^2=4πR^2

So,

\V_\cube/\V_\sphere=√{π/6}

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