SATHEE: Properties Of Solids And Liquids Question 274

Properties Of Solids And Liquids Question 274

Question: A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water

Options:

A) $V / 2$

B) $V / 3$

C) $V / 4$

D)V

Show Answer

Answer:

Correct Answer: A

Solution:

When body (sphere) is half immersed, then upthrust = weight of sphere

therefore $\frac{V}{2} \times ρ_{ρ l i q} \times g = V \times ρ \times g$ \ $ρ = \frac{ρ_{ρ l i q}}{2}$

When body (sphere) is fully immersed then, Upthrust = wt. of sphere + wt. of water poured in sphere

therefore $V \times ρ_{ρ l i q} \times g = V \times ρ \times g + V^{'} \times ρ_{ρ l i q} \times g$

therefore $V \times ρ_{ρ l i q} = \frac{V \times ρ_{ρ l i q}}{2} + V^{'} \times ρ_{ρ l i q}$

therefore $V^{'} = \frac{V}{2}$

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Properties Of Solids And Liquids Question 274

Question: A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water

Options:

Answer:

Solution:

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