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when a body lighter than water is completely submerged in water, the buoyant force acting on it is found to be 'n' times its weight. The specific gravity of material of the body is


SREE VARDHAN 3rd Dec, 2019
Answer (1)
sarthak goel 3rd Dec, 2019

Hello Sree Vardhan,

You may use the concepts of laws of floatation to solve this fluids problem.

Consider mass of the body =m

therefore weight of the body = mg

Now let σ be the density of the object and ρ is the density of the water and V is the volume of the object.

So weight = mg = Vσg

and buoyant force = Vρg

bf=n×weight= Vρg=n*Vσg= σ /ρ = 1/n.

( Specific gravity = density of object /density of water.)

Hence, answer is 1/n.

Hope this helps

Regards

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