9-1.Fluid Mechanics
hard

ત્રાજવામાં મૂકેલા બે પદાર્થો પાણીમાં સમતોલનમાં રહે છે,એક પદાર્થનું દળ $36 g $ અને ઘનતા $9 g / cm^3$ છે,જો બીજા પદાર્થનું દળ $ 48 g$ હોય,તો ઘનતા .......$g / cm^3$ થાય.

A

$\frac{4}{3} $

B

$\frac{3}{2} $

C

$3 $

D

$5 $

Solution

(c)Apparent weight $ = V(\rho – \sigma )g = \frac{m}{\rho }(\rho – \sigma )g$
where $m = $ mass of the body,
$\rho = $ density of the body
$\sigma = $ density of water
If two bodies are in equilibrium then their apparent weight must be equal.
$\therefore $ $\frac{{{m_1}}}{{{\rho _1}}}({\rho _1} – \sigma ) = \frac{{{m_2}}}{{{\rho _2}}}({\rho _2} – \sigma )$
==> $\frac{{36}}{9}(9 – 1) = \frac{{48}}{{{\rho _2}}}({\rho _2} – 1)$
By solving we get ${\rho _2} = 3$.

Standard 11
Physics

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