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12.Kinetic Theory of Gases
normal

આપેલ વાયુ માટે એકમ કદ દીઠ ગતિઊર્જા ($E$) અને દબાણ વચ્ચેનો સંબંધ ..... છે.

A

$P = \frac{{2E}}{3}$

B

$P = \frac{{3E}}{2}$

C

$P = \frac{{3{E^2}}}{2}$

D

$P = \frac{{2{E^2}}}{3}$

Solution

$\,P = \frac{1}{2}\rho  < {v^2} > \,\,\,\,…(1)\,\,$

$\frac{1}{2}\frac{m}{V} < {v^2} >  = \frac{1}{2}\rho  < {v^2} > \,\,\,….(2)$

${\text{(1)}}$ ને ${\text{(2)}}$ વડે ભાગતા $\therefore \,\frac{P}{E} = \frac{2}{3}\,\,\,\,\therefore \,P = \frac{{2E}}{3}$

Standard 11
Physics

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