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

Question

If the radius of the 3 text rd Bohr's orbit of hydrogen atom is r3 and the radius of 4 text th Bohr's orbit is r4. Then : (A) r 4=(9/16) r 3 (B) r4=(16/9) r3 (C) r4=(3/4) r3 (D) r4=(4/3) r3

Tardigrade Admin · Accepted Answer

r =0.529 × ( n 2/ z ) mathringA r 3=0.529 × (32/1) r 4=0.529 × (42/1) ( r 4/ r 3)=(42/32)=(16/9) r 4=(16 r 3/9)

Q. If the radius of the $3^{rd}$ Bohr's orbit of hydrogen atom is $r_{3}$ and the radius of $4^{th}$ Bohr's orbit is $r_{4}$ . Then :

$r_{4} = \frac{9}{16} r_{3}$

$r_{4} = \frac{16}{9} r_{3}$

$r_{4} = \frac{3}{4} r_{3}$

$r_{4} = \frac{4}{3} r_{3}$

$r = 0.529 \times \frac{n ^{2}}{z} \overset{˚}{A}$
$r_{3} = 0.529 \times \frac{3 ^{2}}{1}$
$r_{4} = 0.529 \times \frac{4 ^{2}}{1}$
$\frac{r _{4}}{r _{3}} = \frac{4 ^{2}}{3 ^{2}} = \frac{16}{9}$
$r_{4} = \frac{16 r _{3}}{9}$

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

r4​=169​r3​

r4​=916​r3​

r4​=43​r3​

r4​=34​r3​