Consider a nucleus { }_{30}^{60} X. Its appro | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The density of a nucleus is given by the formula: $ho = \frac{	ext{Mass}}{	ext{Volume}}$.Mass of the nucleus $M = A 	imes m_p$, where $A$ is

Vedclass · Accepted Answer

$2.2 	imes 10^{17} 	ext{ kg m}^{-3}$

Vedclass · Answer

(D) The density of a nucleus is given by the formula: $ho = \frac{	ext{Mass}}{	ext{Volume}}$.Mass of the nucleus $M = A 	imes m_p$, where $A$ is the mass number and $m_p \approx 1.6 	imes 10^{-27} 	ext{ kg}$.Volume of the nucleus $V = \frac{4}{3} \pi R^3$, where $R = R_0 A^{1/3}$.Substituting $V$: $V = \frac{4}{3} \pi (R_0 A^{1/3})^3 = \frac{4}{3} \pi R_0^3 A$.Density $ho = \frac{A 	imes m_p}{\frac{4}{3} \pi R_0^3 A} = \frac{3 m_p}{4 \pi R_0^3}$.Substituting the values: $ho = \frac{3 	imes 1.6 	imes 10^{-27}}{4 	imes 3.14 	imes (1.2 	imes 10^{-15})^3}$.$ho = \frac{4.8 	imes 10^{-27}}{12.56 	imes 1.728 	imes 10^{-45}} \approx 2.2 	imes 10^{17} 	ext{ kg m}^{-3}$.

Column-$I$	Column-$II$
$A$. Isotopes	$i$. $Li^7, Be^7$
$B$. Isobars	$ii$. $_8O^{18}, _9F^{19}$
$C$. Isotones	$iii$. $_1H^1, _1H^2$

Consider a nucleus ${ }_{30}^{60} X$. Its approximate density is (Take $1 \text{ amu} = 1.6 \times 10^{-27} \text{ kg}$, $R_0 = 1.2 \times 10^{-15} \text{ m}$)

Similar Questions

Out of gravitational,electromagnetic,Van der Waals,electrostatic,and nuclear forces,which two are able to provide an attractive force between two neutrons?

Match the following types of nuclei with their respective examples:
Column-$I$ Column-$II$
$A$. Isotopes $i$. $Li^7, Be^7$
$B$. Isobars $ii$. $_8O^{18}, _9F^{19}$
$C$. Isotones $iii$. $_1H^1, _1H^2$

$A$ nucleus (of nuclear density $\rho$) disintegrates into two daughter nuclei with masses in the ratio $8 : 27$. The density of the smaller nucleus is

Two nuclei of $Cu^{64}$ are in contact with their surfaces touching. What is the electrostatic potential energy between them in $MeV$?

What is the mass number of a nucleus having a radius equal to $\frac{1}{3}$ of that of ${}^{189}\text{Os}$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module