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13.Nuclei
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બે ન્યુક્લિયસોનો પરમાણુ દળાંક $4:3$ ના ગુણોતર છે. તેઓની ધનતા $.........$ ગુણોત્તર મુજબ હશે.
A
$4: 3$
B
$\left(\frac{3}{4}\right)^{\frac{1}{3}}$
C
$1: 1$
D
$\left(\frac{4}{3}\right)^{\frac{1}{3}}$
(JEE MAIN-2022)
Solution
Radius of nucleus $R=R_{0} A^{\frac{1}{3}}$
Density of nucleus $=\frac{\text { Mass of nucleus }}{\text { volume of nucleus }}$
$\rho=\frac{ m \times A }{\frac{4}{3} \pi R ^{3}}$ Where $m :$ mass of proton or neutron
$\rho=\frac{ m \times A }{\frac{4}{3} \pi R _{0}{ }^{3} A }$
$\rho \propto A^{0}$
Hence density of nucleus is independent of mass number
Standard 12
Physics
