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Q.

What is the minimum volume of a block of wood (density $= 850 kg / m^{3}$ ) if it is to hold a $50 kg$ woman entirely above the water when she stands on it?

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a

$1.20 m^{3}$

b

$1.33 m^{3}$

c

$0.19 m^{3}$

d

$0.33 m^{3}$

answer is D.

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Detailed Solution

Weight of both (block + woman)

= upthrust on 100 % volume of block

$∴ 50 g + V (850) g = V (1000) g ∴ V = 0.33 m^{3}$

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