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9-1.Fluid Mechanics
hard
$900 Kg/m^3$ ઘનતા ધરાવતો બરફનો ટુકડો $1000 Kg/m^3 $ ઘનતા ધરાવતા પાણીમાં તરે છે,બરફનું ....... $\%$ કદ પાણીની બહાર રહે .
A
$20$
B
$35$
C
$10$
D
$ 25$
Solution
(c) Let the total volume of ice-berg is $V$ and its density is $\rho$. If this ice-berg floats in water with volume Vin inside it then ${V_{in}}\sigma g = V\rho g$ ==> ${V_{in}} = \left( {\frac{\rho }{\sigma }} \right)\;V$[$\sigma = $density of water]
or ${V_{out}} = V – {V_{in}} = \left( {\frac{{\sigma – \rho }}{\sigma }} \right)\;V$
==> $\frac{{{V_{out}}}}{V} = \left( {\frac{{\sigma – \rho }}{\sigma }} \right) = \frac{{1000 – 900}}{{1000}} = \frac{1}{{10}}$
${V_{out}} = 10\% $ of $V$
Standard 11
Physics
