Physics

Hydrogen shows many spectral lines because of the following reasons. 

• Its electron can occupy many levels (n = 1, 2, 3.). 

• Each line in the hydrogen spectrum actually represents the transition from higher to lower energy levels. 

• These lines are grouped by the final energy level (Lyman n'=1, Balmer n'=2, etc.) 

• Higher energy levels are closer together. They tend to create more possible transitions.

Hydrogen produces a line spectrum because electrons exist only in discrete, quantised energy levels. When electrons jump between these fixed energy states, they emit photons with specific energies (E = h? ). This creates distinct spectral lines instead of continuous wavelengths. Bohr's model explains this through quantised orbits. Classical physics, on the other hand, would predict a continuous spectrum.

The hydrogen emission spectrum contains several spectral series, each named after its discoverer.

• Lyman series (n' = 1): To ground state, visible only in ultraviolet region
• Balmer series (n' = 2): Transitions to second level, appearing in visible region
• Paschen series (n' = 3): Moved to third level, visible in the infrared region
• Brackett series (n' = 4): Transitions to fourth level, appearing in the far infrared region
• Pfund series (n' = 5): Transitions to fifth level, showing in the infrared region
• Humphreys series (n' = 6): Transitions to sixth level, appearing in the infrared region

$\mathrm{R}=22*{10}^3\pm 5\mathrm{\%}$

First band = = Red

2nd band = Red

3rd band = Orange (Multiplier)

4th band  Gold (Tolerance)

$3\mu \mathrm{F}$ and $3\mu \mathrm{F}$  in parallel

$\text{?}\mathrm{}\stackrel{?}{\mathrm{E}}\cdot \mathrm{d}\stackrel{?}{\mathrm{s}}=0\Rightarrow {?}_{\text{net}}={?}_{\text{in}}-{?}_{\text{out}}=0$

$\Rightarrow {?}_{\text{in}}={?}_{\text{out}}$

There are different types of glasses that are used in optical instruments, including the following:

• Crown glass (K): This glass is used in eyeglasses, microscopes and cameras. It is used in prisms and windows in optical systems. Crown glass has a low refractive index, low dispersion and excellent transparency in visible spectrum.

• Flint Glass (F): This glass, when combined with crown glass, can correct chromatic aberration in lenses. They are also used in prisms for spectroscopy.

• Extra-low dispersion glass: These glasses are used in premium optics that are also used for making high-quality camera lenses, telescopes and binoculars.

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