The ratio of mass densities of nuclei of ^{40 | vedclass

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(D) The nuclear mass density is given by the formula $\rho = \frac{M}{V} = \frac{A \cdot m_n}{\frac{4}{3} \pi R^3}$.Since the nuclear radius $R$ is pr

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$1$

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(D) The nuclear mass density is given by the formula $\rho = \frac{M}{V} = \frac{A \cdot m_n}{\frac{4}{3} \pi R^3}$.Since the nuclear radius $R$ is proportional to $A^{1/3}$ (i.e.,$R = R_0 A^{1/3}$),the volume $V$ is proportional to $A$.Therefore,$\rho = \frac{A \cdot m_n}{\frac{4}{3} \pi R_0^3 A} = \frac{m_n}{\frac{4}{3} \pi R_0^3}$.This shows that the nuclear mass density is independent of the mass number $A$.Thus,the mass densities of all nuclei are approximately the same.Consequently,the ratio of the mass densities of $^{40}Ca$ and $^{16}O$ is $1$.

List-$I$	List-$II$
$(A)$ Strong nuclear force	$(i)$ $10^{-2}$
$(B)$ Weak nuclear force	(ii) $1$
$(C)$ Electromagnetic force	(iii) $10^{-39}$
$(D)$ Gravitational force	(iv) $10^{-13}$

The ratio of mass densities of nuclei of $^{40}Ca$ and $^{16}O$ is close to

Similar Questions

Match the following fundamental forces of nature with their relative strength:
List-$I$ List-$II$
$(A)$ Strong nuclear force $(i)$ $10^{-2}$
$(B)$ Weak nuclear force (ii) $1$
$(C)$ Electromagnetic force (iii) $10^{-39}$
$(D)$ Gravitational force (iv) $10^{-13}$

Define nuclear force.

Consider the following two statements,$A$ and $B$ and identify the correct answer given below:
$A$. Nuclear density is same for all nuclei.
$B$. Radius of the nucleus $R$ and its mass number $A$ are related as $\sqrt{A} \propto R^{1 / 6}$.

Which of the following is most unstable?

If the radius of a nucleus with mass number $125$ is $1.5 \text{ fermi}$, then the radius of a nucleus with mass number $64$ is: (in $\text{ fermi}$)

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