# A stone weighs 450 N in air and 200 N in water. Compute the volume of stone A. 0.025 m3 B. 0.05 m3 C. 0.075 m3 D. 0.1 m3 E. None of the above

Question-AnswerCategory: Fluid MechanicsA stone weighs 450 N in air and 200 N in water. Compute the volume of stone A. 0.025 m3 B. 0.05 m3 C. 0.075 m3 D. 0.1 m3 E. None of the above

A stone weighs 450 N in air and 200 N in water. Compute the volume of stone A. 0.025 m3 B. 0.05 m3 C. 0.075 m3 D. 0.1 m3 E. None of the above.

Given :-
Weight of stone in air, W = 450 N
Weight of stone in water, Wwater = 200 N
Find :- Volume of stone, V
Solution :-
$\textup{Weight of stone in water, W}_{water} =\textup{ Weight of stone - Buoyant force}$
$\textup{W}_{water} =\textup{ W - F}_B$
$200 = 450- F_B$
$F_B =\textup{ 250 N}$

$\textup{Buoyant force, F}_B =\textup{ Weight of water displaced }= \gamma_{water} \times V_{water}$
$250 = 9810 \times V_{water}$
$V_{water}\textup{ = 0.025 m}^3$

$\textup{Volume of water displaced, V}_{water}\textup{ = Volume of stone, V }$
${\color{Red} \textup{V = 0.025 m}^3}$
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