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The time taken by a particle moving with velocity $c=10_{6}ms_{−1}$ in crossing a nucleus will approximately be

The graph of $ln(R/R_{O}$ ) versus $lnA$ of nucleus is :

($R_{0}$ is a constant $1.2×10_{−12}$ , R is radius and A is the atomic number)

($R_{0}$ is a constant $1.2×10_{−12}$ , R is radius and A is the atomic number)

(i) What characteristic property of nuclear force explains the constancy of binding energy per nucleon $(BE/A)$ in the range of mass number $_{′}A_{′}$ lying $30<A<170$?

(ii) Show that the density of nucleus over a wide range of nuclei is constant-independent of mass number $A$.

(ii) Show that the density of nucleus over a wide range of nuclei is constant-independent of mass number $A$.

Calculate the binding energy per nucleon for Beryllium $_{4}Be_{9}$, its mass being $9.012u$. The masses of proton and neutron are $1.008u$ and $1.009u$. (Take $1u=931.5MeV$)

Consider the nuclear fission, $Ne_{20}→2He_{4}+C_{12}$

Given that the binding energy/nucleon of $Ne_{20}$, $He_{4}$ and $C_{12}$ are, respectively, 8.03 MeV, 7.07 MeV and 7.86 MeV, identify the correct statement:

Given that the binding energy/nucleon of $Ne_{20}$, $He_{4}$ and $C_{12}$ are, respectively, 8.03 MeV, 7.07 MeV and 7.86 MeV, identify the correct statement:

A nucleus with mass number $220$ initially at rest emits an $α$-particle. lf the $Q$ value of the reaction is $5.5$ $MeV$, calculate the kinetic energy of the $α$-particle.

Find the energy released when two $_{1}H_{2}$ nuclei fuse together to form a single $_{2}He_{4}$ nucleus. Given, the binding energy per nucleon of $_{1}H_{2}$ and $_{2}He_{4}$ are $1.1$ MeV and $7.0$ MeV respectively.

$20$% of a radioactive element disintegrates in $1hr$.The percentage of the radioactive element disintegrated in $2hrs$ will be

In a Uranium ore the ratio of $U_{238}$ nuclei to $Pb_{206}$ nuclei is $η=2.8$. Evaluate the age of the ores, assuming all the lead $Pb_{206}$ to be a final decay product of the uranium series. The half life of $U_{238}$ nuclei is $4.5×10_{9}$ years.