Following graph is plotted between characteristics `'X'` and `'Y'` for three spices `A, B` and `C`.

Now select the correct statement(s), relted to the above graph :

Options

A. If `'X'` is the velocity of electron and `'Y'` is `(1)/(n)` (where `'n'` is `n^(th)` Bohr orbit of three hydrogen like species `A,B` and `C`), then radii of these species must increase in the order `C lt B lt A`.
B. If `'X'` is the de-Brogile wavelength `(lambda)` of three charges species `A, B` and `C` (having same amount of charge) and `'Y'` is `(1)/(sqrtV)` (where `'V'` is acceleration potential difference), then the mass of these species must increase in the order `A lt B lt C`.
C. If `'X'` is the velocity of electron and `'V'` is `(1)/(n)` (where `'n'` is `n^(th)` Bohr orbit of three hydrogenlike species `A, B` and `C`), then radii of these species must increase in the order `A lt B lt C`.
D. If `'X'` is the de-Broglie wavelength `(lambda)` of these chrges spcies `A, B` and `C` (having same amount of charge) and `'Y'` is `(1)/(sqrt(V))` (where `'V'` is accelerating potential difference), then the mass of these species must increase in the order `C lt B lt A`.

Answer

A, D

Explanation

`V = ((2piKe^(2))/(h))xx (Z)/(n)`, so, atomic number `(Z) prop` slope of the graph.
`gamma = (h)/(sqrt(2qVm))`, slope of the graph `prop (1)/(sqrtm)`
Therefore, statement `(A)` & `(D)` are correct.