The first `(IE_(1))` and second `(IE_(2))` ionisation energies `(k J mol^(-1))` of a new elements designated by roman numerals are shown below:
`{:(,,IE_(1),IE_(2),),(I,,2370,5250,),(II,,520,7300,),(III,,900,1800,),(IV,,1700,3400,):}`
Which of the above elements is likely to be :
a. A reactive metal
b. A reactive non-metal
c. a noble gas
d. A metal that forms a stable binary halide of the formula `AX_(2)` (`X=` the halogen).

Explanation

a. `B` is reactive metal since it has minimum to be:
b. `D` is reactive non-metal since it has second minimum `IE_(1)`
c. `A` is noble gas since it has maximum `IE_(1)`
d. `C` forms `MX_(2)`. Since `IE_(2)` of `C` is the least.