8 public questions tagged with this topic.
ν̄ = RH (1 - 1/9) = 9.753×10⁶ m⁻¹. λ = 102.5 nm.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Shapes of Orbitals - s p d f and Nodes and Radial Probability
For Be³⁺ (Z=4), ΔE ≈ 2.903×10⁻¹⁸ J. λ ≈ 68.45 nm.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Quantum Numbers - Principal Azimuthal Magnetic Spin
n=4 to n=2. λ = 486.1 nm.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Quantum Mechanical Model - de Broglie Heisenberg and Schrodinger
Pfund: n₁=5, n₂=8. λ = 3741 nm.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Discovery of Subatomic Particles - Electron Proton Neutron
λ = hc/ΔE ≈ 406.1 nm.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Developments Leading to Bohr Model - Electromagnetic Radiation and Spectrum
For B⁴⁺ (Z=5), ΔE = 71.4 eV. λ ≈ 17.41 nm.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Developments Leading to Bohr Model - Electromagnetic Radiation and Spectrum
ν = c/λ = 1.5×10¹⁵ Hz.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Atomic Models - Thomson Rutherford and Bohr Model
Electromagnetic wavelength follows lambda equals speed of light divided by frequency. NMR Larmor frequencies for protons at common field strengths range 300 to 600 MHz, corresponding to radiowaves. Dividing 3x10^8 meters per second by 3x10^8 hertz yields approximately 1 meter wavelength, matching size of radio antennas and NMR coil dimensions. Such long wavelength, low photon energy ensures non-ionizing excitation, preventing bond breakage in biological samples. This physical scale explains instrumentation design, safety for in vivo magnetic resonance imaging, and deep penetration into tissue for medical diagnostics.
Ref: NCERT Biology Class XII Principles on Klenow fill-in labeling, Lehninger Chapter 9 DNA cloning techniques, and Molecular Cloning by Sambrook Chapter 10 documenting end-labeling of cohesive termini.
