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QJEEM22Chb190: JEE Main 2022 Chemistry - Class 11 JEEM22Chb190 Solution: If the radius of the 3 rd Bohr's orbit of hydrogen atom is r 3…

If the radius of the 3^rd Bohr's orbit of hydrogen atom is r₃ and the radius of 4^th Bohr's orbit is r₄. Then :

Step-by-Step Verified Solution

We know,

$r = {r_0} \times {{{n^2}} \over z}$

For hydrogen atom,

$\therefore$ ${r_3} = {r_0} \times {{{3^2}} \over 1}$

$\Rightarrow {r_0} \times {{{r_3}} \over 9}$

and ${r_4} = {r_0} \times {{{4^2}} \over 1}$

$= {{{r_3}} \over 9} \times 16$

$= {{16} \over 9}{r_3}$