Verified Solution • 2025–26 Session moderate

QJEEM23Phcc33: JEE Main 2023 Physics - Class 12 JEEM23Phcc33 Solution: The radius of electron's second stationary orbit in Bohr's atom …

The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3rd orbit will be

Multiple Choice Options

  • A 2.25R
  • B 3R3 \mathrm{R}
  • C R3\frac{\mathrm{R}}{3}
  • D 9R9 \mathrm{R}

Step-by-Step Verified Solution

r∝n2Zr \propto \frac{n^{2}}{Z}

amp;r2ndr3rd=(n2n3)2amp;⇒Rr3rd=(23)2amp;⇒r3rd=94Ramp;=2.25R\begin{aligned}& \frac{r_{2 { nd }}}{r_{3 \mathrm{rd}}}=\left(\frac{n_{2}}{n_{3}}\right)^{2} \\\\& \Rightarrow \frac{R}{r_{3 r d}}=\left(\frac{2}{3}\right)^{2} \\\\& \Rightarrow r_{3 \mathrm{rd}}=\frac{9}{4} R \\\\& =2.25 R\end{aligned}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring