MCQ
If the radius of the $3^{\text {rd }}$ Bohr's orbit of hydrogen atom is $r_{3}$ and the radius of $4^{\text {th }}$ Bohr's orbit is $r_{4}$. Then ....
  • A
    $r _{4}=\frac{9}{16} r_{3}$
  • $r_{4}=\frac{16}{9} r_{3}$
  • C
    $r_{4}=\frac{3}{4} r_{3}$
  • D
    $r_{4}=\frac{4}{3} r_{3}$

Answer

Correct option: B.
$r_{4}=\frac{16}{9} r_{3}$
b
$r =0.529 \times \frac{ n ^{2}}{ Z }$

$r _{3}=0.529 \times \frac{3^{2}}{1}$

$r_{4}=0.529 \times \frac{4^{2}}{1}$

$\frac{r_{4}}{r_{3}}=\frac{4^{2}}{3^{2}}=\frac{16}{9}$

$r _{4}=\frac{16 r _{3}}{9}$

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