Ch-9: Light – Reflection & Refraction ✨
1. Reflection of Light (प्रकाश का परावर्तन)
- Light travels in straight lines.
- Laws of Reflection:
(i) Angle of incidence $\angle i$ = Angle of reflection $\angle r$.
(ii) The incident ray, the normal, and the reflected ray all lie in the same plane.
2. Spherical Mirrors (गोलीय दर्पण)
- Concave (अवतल): Reflecting surface curved inwards. (Converging).
- Convex (उत्तल): Reflecting surface curved outwards. (Diverging).
- Important Terms: Pole (P), Centre of Curvature (C), Radius (R), Principal Focus (F).
- $R = 2f$ (Radius is twice focal length).
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3. Image Formation by Concave Mirrors
अवतल दर्पण द्वारा प्रतिबिंब का बनना:
| Object Position | Image Position | Nature |
|---|---|---|
| At Infinity | At Focus F | Real & Inverted |
| Beyond C | Between F & C | Diminished |
| At C | At C | Same Size |
| Between P & F | Behind Mirror | Virtual & Erect |
Fig: Object at C (Concave Mirror)
4. Uses of Spherical Mirrors
- Concave: Torches, Shaving mirrors, Dentist mirrors, Solar furnaces.
- Convex: Rear-view mirrors in vehicles (gives erect, diminished image & wider field of view).
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5. New Cartesian Sign Convention
- All distances measured from Pole (P).
- Distances in direction of light $\to$ (+).
- Distances against direction of light $\to$ (-).
- Object distance ($u$) is Always Negative.
6. Mirror Formula & Magnification
$\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$
- $v$ = Image distance | $u$ = Object distance | $f$ = Focal length.
- Magnification (m): Ratio of height of image ($h’$) to height of object ($h$).
- $m = \frac{h’}{h} = -\frac{v}{u}$
- If $m$ is (-), image is Real. If $m$ is (+), image is Virtual.
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7. Refraction of Light (प्रकाश का अपवर्तन)
- Bending of light when it passes from one transparent medium to another.
- Laws of Refraction:
(i) Incident, Refracted, Normal all lie in same plane.
(ii) Snell’s Law: The ratio of sine of $i$ to sine of $r$ is constant.
$\frac{\sin i}{\sin r} = \text{constant}$ ($n$).
Refraction through Glass Slab
8. Refractive Index ($n$)
- $n = \frac{\text{Speed of light in vacuum (c)}}{\text{Speed of light in medium (v)}}$
- Absolute Refractive Index: Vacuum to Medium.
– Water: 1.33 | Glass: 1.50 | Diamond: 2.42 (Highest).
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9. Spherical Lenses (लेंस)
- Convex Lens: Converging lens. Thicker at middle.
- Concave Lens: Diverging lens. Thinner at middle.
Ray passing through Optical Centre (O)
10. Lens Formula & Power
$\frac{1}{v} – \frac{1}{u} = \frac{1}{f}$
- Power (P): Reciprocal of focal length in metres.
- $P = \frac{1}{f(m)}$
- Unit: Dioptre (D).
- Convex Lens Power is (+). Concave Lens Power is (-).
11. Summary
1. Reflection (Mirror) $\to$ Formula has (+).
2. Refraction (Lens) $\to$ Formula has (-).
3. Magnification in Mirror is $-v/u$, in Lens it is $+v/u$.
2. Refraction (Lens) $\to$ Formula has (-).
3. Magnification in Mirror is $-v/u$, in Lens it is $+v/u$.
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