9-1.Fluid Mechanics
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પદાર્થનું વજન હવામાં વજન કરતા પાણીમાં હવામાં વજન કરતાં ત્રીજા ભાગનું છે, તો પદાર્થ ઘનતા ............. $g / cm ^3$

A

$0.5$

B

$1.5$

C

$2.5$

D

$3.5$

Solution

(b)

Given,

Weight of body in water is $\frac{1}{3}$ of total weight in air,

Mean, buoyancy force in water is $\frac{2}{3}$ of total weight in air

Volume of body, $V$

Density of water and body, $\rho_w\ and\, \rho_b$

Apply Archimedes principle

Buoyancy force $=$ weight of water displaces $=\frac{2}{3}$ weight of body in air

$\rho_{ w } Vg =\frac{2}{3} \rho_{ b } Vg$

$\rho_{ b }=1.5 \rho_{ w }$

Density of body is $1.5$ time the density of water.

Standard 11
Physics

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