Nuclei Test - 6...

In the uranium radioactive series the initial nucleus is $$_{92} U^{238},$$ and the final nucleus is $$_{82} U^{206}.$$ When the Uranium nucleus decays to lead, the number of $$\alpha-particles$$ emitted are... and the number of $$\beta-particles$$ emitted are...

A radioactive nucleus $$_ZX^A$$ emits $$3 \alpha$$-particles and $$5 \beta$$-particles. The ratio of number of neutron, protons in the product nucleus will be :- 

A nucleus of mass $$M$$ is at rest. An alpha particle of mass $$m$$ is emitted from the nucleus with momentum $$P. Q$$ value of the nuclear reaction is :

$$\begin{array} { l } { \text { Initial ratio of active nuclei in two different samples } } \\ { \text { is } 2 : 3 . \text { Their half lives are } 2 \text { hr and } 3 \text { hr respectively. } } \\ { \text { Ratio of their activities at the end of } 12 \text { hr is: } } \end{array}$$

In which sequence the radioactive radiations are emitted in the following nuclear reaction?
$$_{Z}X^{A} \rightarrow _{Z+1}Y^{A} \rightarrow _{Z-1}K^{A-4}  \rightarrow _{Z-1}K^{A-4}$$

$$\begin{matrix} M \\ Z \end{matrix}A(g)\longrightarrow \begin{matrix} M-B \\ Z-4 \end{matrix}B(g)+(\alpha -particals)$$
($$\alpha$$-particales are helium nuclei,so will form helium gas by trapping electrons)
The radioactive disintegration follows first-order kinetic Starting with 1 mol of A in a 1-litre closed flask at $$27^oC$$ pressure developed after two half-lives is approximately:

If the binding energy per nucleon in $$ ^7_3Li and ^4_2 He $$  nuclei are 5.60 MeV and 7.06 MeV respectively, then in the reaction
   $$ p + ^7_3 Li \rightarrow 2^4_2 He $$
energy of proton must be :

Ratio of energy produced by fusion of 1.0 kg of hydrogen (as it occurs in sun) and energy produced by fission of 1 kg of $$^{235}_{92}{U}$$ in a nuclear reactor is nearly 

Two isotopes P and Q of atomic weight 10 and 20, respectively are mixed in equal amount by weight. After 20 days their weight ratio is found to be 1 : 4. Isotope P has a half-life of 10 days. The half-life of isotope Q is

The nuclear reaction $$1H^2 + 1H^2 \rightarrow 2He^4$$ (mass of $$deuteron=2.0141$$ amu and of $$He=4.0024$$ amu) is