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13.Nuclei
medium
બે ન્યુકિલયસના પરમાણુદળાંકનો ગુણોત્તર $ 1:3$ છે. તેમની ન્યુકિલયર ઘનતાઓનો ગુણોત્તર કેટલો થાય?
A
${\left( 3 \right)^{\frac{1}{3}}}:1$
B
$1:1$
C
$1:3$
D
$3:1$
(AIPMT-2008)
Solution
હવે ઘનતા = (દળ/કદ)
$\therefore$ ઘનતા $\,\rho = \frac{A}{{\frac{4}{3}\pi {R^3}}}\,$
$\therefore$ $\frac{{{\rho _{{A_1}}}}}{{{\rho _{{A_2}}}}} = \frac{{{A_1}}}{{\frac{4}{3}\pi R_1^3}} \times \frac{{\frac{4}{3}\pi R_2^3}}{{{A_2}}}\,\,\,\, $
$= \frac{{{A_1}}}{{{A_2}}} \times \frac{{R_2^3}}{{R_1^3}}$
પણ ${\text{R}} = {{\text{R}}_{\text{0}}}{{\text{A}}^{\frac{{\text{1}}}{{\text{3}}}}}$ પરથી,
${{\text{R}}^{\text{3}}} = {R_0}A\,\,\,$
$\therefore \,\,\,\frac{{{\rho _{{A_1}}}}}{{{\rho _{{A_2}}}}} = \frac{{{A_1}}}{{{A_2}}} \times \frac{{{A_2}}}{{{A_1}}} = 1:1$
Standard 12
Physics