⚡ Fast Revision: Refraction of Light
- Definition: The change in direction (bending) of light when it passes obliquely from one optical medium to another.
- Cause: Change in the speed of light as it enters a different medium.
- Optical Density: Light travels slower in a denser medium (like glass) and faster in a rarer medium (like air).
Refractive Index: $\mu$ or $n$ | SI Unit: None (Pure Ratio)
Speed of Light in Vacuum ($c$): $3 \times 10^8\ m/s$
| Path of Light | Bending Behavior | Speed Change |
|---|---|---|
| Rarer to Denser (Air to Glass) | Bends towards the normal | Decreases |
| Denser to Rarer (Glass to Air) | Bends away from the normal | Increases |
| Normal Incidence | No bending | Changes (but path is straight) |
Thinking frequency changes during refraction. Fix: When light travels between media, velocity and wavelength change, but frequency remains constant.
⚡ Fast Revision: Spherical Lenses
- Convex Lens: Thicker at the middle, thinner at edges. It is a Converging Lens.
- Concave Lens: Thinner at the middle, thicker at edges. It is a Diverging Lens.
- Optical Centre (O): The geometric centre of a lens through which light passes without any deviation.
$P = \frac{1}{f \text{ (in metres)}}$
Power is the reciprocal of focal length. SI Unit: Dioptre (D).
| Feature | Convex Lens | Concave Lens |
|---|---|---|
| Nature | Converging | Diverging |
| Focal Length | Positive (+) | Negative (-) |
| Image Formed | Mostly Real & Inverted | Always Virtual & Erect |
Using focal length in cm while calculating Power. Fix: Always convert $f$ to metres first. $P = 100 / f \text{ (in cm)}$.
⚡ Fast Revision: Dispersion & Spectrum
- Dispersion: The phenomenon where white light splits into its constituent colors when passing through a glass prism.
- Spectrum: The band of seven colors obtained on the screen (VIBGYOR).
- Cause: Different colors of light travel at different speeds in glass, causing them to bend by different angles.
Red Light: Maximum speed | Least deviation (bends least).
Violet Light: Minimum speed | Maximum deviation (bends most).
| Type of Light | Definition | Example |
|---|---|---|
| Monochromatic | Light of a single color/wavelength. | Laser, Sodium light |
| Polychromatic | Light consisting of many colors. | Sunlight, White light |
Thinking the prism "adds" colors to the light. Fix: The prism only separates the colors already present in white light.
⚡ Fast Revision: The Human Eye
- Retina: The "screen" of the eye where real and inverted images are formed.
- Ciliary Muscles: Responsible for changing the focal length of the eye lens (Accommodation).
- Optic Nerve: Transmits electrical signals from the retina to the brain.
| Defect | Vision Problem | Correction Lens |
|---|---|---|
| Myopia (Short-sighted) | Cannot see distant objects clearly. | Concave Lens |
| Hypermetropia (Long-sighted) | Cannot see nearby objects clearly. | Convex Lens |
Near Point: 25 cm for a normal human eye.
Far Point: Infinity ($\infty$).
Thinking the image on the retina is erect. Fix: The image is actually real and inverted; our brain re-interprets it as erect.