Physics Formulas Related to Optics
Here we are providing providing physics formulas related to Optics. All important formulas related to Optics branch of Physics are covered in this article. Students are suggested to remember all formulas in order to grasp physics concepts well.
1. Snell’s Law (Refraction): \[ n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \]2. Lens-Maker’s Formula: \[ \frac{1}{f} = (n – 1) \left( \frac{1}{R_1} – \frac{1}{R_2} \right) \]
3. Magnification of Lens: \[ m = – \frac{q}{p} \]
4. Mirror Formula: \[ \frac{1}{f} = \frac{1}{p} + \frac{1}{q} \]
5. Magnification of Mirror: \[ m = – \frac{q}{p} \]
6. Lens Power: \[ P = \frac{1}{f} \]
7. Critical Angle (Total Internal Reflection): \[ \theta_c = \sin^{-1}\left(\frac{n_2}{n_1}\right) \]
8. Lensmaker’s Formula for Thick Lens (Gauss Formula): \[ \frac{1}{f} = (n – 1) \left( \frac{1}{R_1} – \frac{1}{R_2} + \frac{(n – 1)d}{nR_1R_2} \right) \]
9. Angular Magnification of Telescope: \[ \text{Angular Magnification} = \frac{\text{Angle subtended by image at eye}}{\text{Angle subtended by object at near point}} \]
10. Radius of Curvature and Focal Length of Mirror in Terms of Power: \[ R = \frac{1}{P} \quad \text{and} \quad f = \frac{1}{2P} \]
11. Radius of Curvature and Focal Length of Lens in Terms of Power: \[ R = \frac{n}{P} \quad \text{and} \quad f = \frac{n}{2P} \]
12. Focal Length of a Convex Mirror: \[ f = -\frac{R}{2} \]
13. Focal Length of a Concave Mirror: \[ f = \frac{R}{2} \]
14. Lens Formula for Thick Lens (Gauss Lens Formula): \[ \frac{1}{f} = (n – 1) \left( \frac{1}{R_1} – \frac{1}{R_2} + \frac{(n – 1)d}{nR_1R_2} \right) \]
15. Relation Between Object Distance, Image Distance, and Focal Length (Lens): \[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \]
16. Angle of Minimum Deviation in Prism: \[ \delta_{\text{min}} = A + \frac{\alpha + \beta}{2} – 180^\circ \]
17. Transverse Magnification of a Lens: \[ m = \frac{h_i}{h_o} = -\frac{d_i}{d_o} \]
18. Transverse Magnification of a Mirror: \[ m = \frac{h_i}{h_o} = -\frac{d_i}{d_o} \]
19. Transverse Magnification of a Prism: \[ m = \frac{\tan \left(\frac{A + \delta}{2}\right)}{\tan \left(\frac{A}{2}\right)} \]
20. Critical Angle for Total Internal Reflection: \[ \sin \theta_c = \frac{n_2}{n_1} \]
21. Polarizing Angle (Brewster’s Angle): \[ \tan \theta_B = \frac{n_2}{n_1} \]
22. Displacement Method for Focal Length of a Concave Lens: \[ f = \frac{d^2 – D^2}{4d} \]
23. Lateral Magnification: \[ M = \frac{h_i}{h_o} = \frac{d_i}{d_o} \]
24. Distance Between Two Slit Bright Fringes: \[ x = \frac{D\lambda}{d} \]
25. Number of Fringes in Michelson Interferometer: [ N = \frac{2ds}{\lambda} \]
26. Brewster’s Angle for Reflection: \[ \theta_B = \tan^{-1} \left(\frac{n_2}{n_1}\right) \]
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