A nucleus $_Z{X^A}$ emits $9 \alpha$ - particles and $5 \beta$ particle. The ratio of total protons and neutrons in the final nucleus is

What is $\alpha  -$ , $\beta -$ and $\gamma -$decay ? Write its general formula. 

A nuclear reaction given by $_Z{X^A}\, \to {\,_{Z + 1}}{Y^A}{ + _{ - 1}}{e^0} + \bar p$ represents

A nuclear decay is possible if the mass of the parent nucleus exceeds the total mass of the decay particles. If $M(A, Z)$ denotes the mass of a single neutral atom of an element with mass number $A$ and atomic number $Z$, then the minimal condition that the $\beta$ decay $X_Z^A \rightarrow Y_{Z+1}^A+\beta^{-}+\bar{v}_e$ will occur is ( $m_e$ denotes the mass of the $\beta$ particle and the neutrino mass $m_v$ can be neglected)

Which ray contain positively charged particle

${ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q$

In the nuclear emission stated above, the mass number and atomic number of the product $Q$ respectively, are