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Hindi
1.Units, Dimensions and Measurement
medium

$m$ દળના પદાર્થને વહેતી નદી ખસેડે છે.તે નદીનો વેગ $V$, પાણીની ઘનતા $(\rho )$ અને ગુરુત્વપ્રવેગ $g$ પર આઘાર રાખે છે.તો $m  \propto $

A

$m \propto \frac{{{\rho ^2}{v^4}}}{{{g^2}}}$

B

$m \propto \frac{{\rho {v^6}}}{{{g^2}}}$

C

$m \propto \frac{{\rho {v^4}}}{{{g^3}}}$

D

$m \propto \frac{{\rho {v^6}}}{{{g^3}}}$

Solution

$m$ = mass = $[M]$,

$v$ = velocity = $[L{T^{ – 1}}]$,

$\rho$ = density = $[M{L^{ – 3}}]$,

$g$ = acceleration\ due\ to\ gravity =$[LT^{-2}] $

$m = K\,\frac{{\rho \,{v^6}}}{{{g^3}}}$ $ \Rightarrow \,[M] = \frac{{[M{L^{ – 3}}]{{[L{T^{ – 1}}]}^6}}}{{{{[L{T^{ – 2}}]}^3}}} = [M]$

$L.H.S. = R.H.S.$

Standard 11
Physics

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