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13.Nuclei
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ઓકિસજન $\left({ }_8^{16} O\right)$ ન્યુક્લિયસ અને હીલીયમ ( $\left.{ }_2^4 He \right)$ ન્યુક્લિયસોની ધનતાનો ગુણોત્તર $.............$ થશે.
A
$4:1$
B
$8:1$
C
$1:1$
D
$2:1$
(JEE MAIN-2023)
Solution
Nuclear density is independent of mass number As nuclear density $=\frac{ Au }{\frac{4}{3} \pi R ^3}$
Also , $R = R _0 A ^{\frac{1}{3}}$
And $R ^3= R _0^3 A$
$\Rightarrow$ Nuclear density $=\frac{ Au }{\frac{4}{3} \pi R _0^3 A }$
Nuclear density $=\frac{3 u }{4 \pi R _0^3}$
$\Rightarrow$ Nuclear density is independent of $A$
Standard 12
Physics
