Radii and Velocities of Orbits Numerical Class-12 Nootan ISC Physics Solution Ch-26 Atom, Origin of Spectra : Bohr’s Theory of Hydrogen Atom. Step by step solutions of Kumar and Mittal Physics of Nageen Prakashan as council latest prescribe guideline for upcoming exam. Visit official Website CISCE for detail information about ISC Board Class-12 Physics.
Radii and Velocities of Orbits Numerical Class-12 Nootan ISC Physics Solution Ch-26 Atom, Origin of Spectra : Bohr’s Theory of Hydrogen Atom
| Board | ISC |
| Class | 12 |
| Subject | Physics |
| Book | Nootan |
| Chapter-26 | Atom, Origin of Spectra : Bohr’s Theory of Hydrogen Atom |
| Topics | Numericals on Radii and Velocities of Orbits |
| Academic Session | 2025-2026 |
Numericals on Radii and Velocities of Orbits
Class-12 Nootan ISC Physics Solution Ch-26 Atom, Origin of Spectra : Bohr’s Theory of Hydrogen Atom.
Que-4: The radius of the first orbit of the electron of a hydrogen atom is 5.3 x 10^-11 m. What is the radius of its second orbit? (ISC 2006)
Ans- The radius of second orbit = 2² x radius of first orbit
=> 4 x 5.3 x 10^-11
=> 21.2 x 10^-11 m
Que-5: Show that the velocity of electron in the first orbit of hydrogen atom is (1/137) time the velocity of light.
Ans- Velocity of electron in first orbit
∴ v1/c = 2.19 x 10^6 / 3 x 10^8 = 1/137
Que-6: A negatively-charged pion (π¯), whose mass is 273 times the mass of electron moves in a circular orbit around a proton. It is a pi-mesic hydrogen atom. How many revolutions will the pion make during its lifetime of 10^-8 s in the ground state of the atom?
Ans- Radius of the (n=1) orbit of the π¯ mesic atom (Ground state)
The orbital speed
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