Iron nail in blue copper sulphate solution: the solution turns light green and a brown coat of copper forms on the nail, because iron is more reactive than copper.
Quick revision
Balance only by changing coefficients, never formulas.
Rust = hydrated iron oxide (Fe₂O₃·xH₂O).
Prevent corrosion: paint, oil, galvanising.
Prevent rancidity: airtight packing, nitrogen in chips packets, refrigeration.
Class 10 (SSC Board) · Science and Technology Part 1 · Chapter 6
Refraction of Light
Quick summary
Light changes direction when it goes from one medium to another. This bending is refraction (अपवर्तन). It explains mirages, twinkling stars and rainbows.
Key points
Light bends because its speed is different in different media.
Going to a denser medium, light bends towards the normal; to a rarer medium, away from it.
Law 1: incident ray, refracted ray and normal lie in the same plane.
Law 2 (Snell's law): sin i / sin r = constant (refractive index).
Atmospheric refraction: stars twinkle; Sun is seen about 2 minutes before sunrise and after sunset.
Mirage: hot air near the road bends light, giving a false image of water.
Dispersion: a prism splits white light into seven colours (VIBGYOR). Red bends least, violet most.
Total internal reflection: light going from a denser to a rarer medium at more than the critical angle reflects back fully (sparkle of diamond, optical fibres).
Rainbow: water drops refract, disperse and internally reflect sunlight.
Important terms
Refractive index (n) – how much a medium slows and bends light.
Normal – line perpendicular to the surface at the point of incidence.
Spectrum – band of seven colours from white light.
Formulas
Formula
Meaning
n = sin i / sin r
i = angle of incidence, r = angle of refraction
n = c / v
c = speed of light in vacuum (3 × 10⁸ m/s), v = speed in medium
₂n₁ = v₁ / v₂
refractive index of medium 2 w.r.t. medium 1
Example
Speed of light in glass = 2 × 10⁸ m/s. n = 3 × 10⁸ ÷ 2 × 10⁸ = 1.5.
Quick revision
n: air ≈ 1.0003, water 1.33, glass 1.5, diamond 2.42.
Higher n = optically denser = slower light.
Visible light: about 400 nm (violet) to 700 nm (red).
Class 10 (SSC Board) · Science and Technology Part 1 · Chapter 7
Lenses
Quick summary
A lens is a piece of transparent material with curved surfaces that bends light to form images. The human eye has a natural convex lens.
Key points
Convex lens (converging): thick in the middle. Concave lens (diverging): thin in the middle.
Light refracts twice in a lens.
Ray rules: (1) parallel ray → through F; (2) ray through F → comes out parallel; (3) ray through O → goes straight.
Convex lens: object beyond 2F₁ → small real inverted image; at F₁ → image at infinity; between F₁ and O → virtual, erect, magnified (magnifying glass).
Concave lens always gives a small, virtual, erect image.
The eye focuses near and far objects by changing the focal length of its lens (accommodation).
Near point = 25 cm; far point = infinity.
Important terms
Focal length (f) – distance between optical centre and principal focus.
Power (P) – 1/f, unit dioptre (D).
Myopia – near-sightedness; corrected by concave lens.
Hypermetropia – far-sightedness; corrected by convex lens.
Presbyopia – old-age difficulty in seeing near; bifocal lens.
Formulas
Formula
Meaning
1/v − 1/u = 1/f
u = object distance, v = image distance (cartesian signs)
M = h₂/h₁ = v/u
magnification
P = 1/f (f in metre)
convex +, concave −
Diagram in words
Draw the principal axis, lens at O, mark F₁, 2F₁, F₂, 2F₂. Use two of the three ray rules; where rays meet is the image.
Example
f = 0.5 m → P = 1/0.5 = +2 D (convex lens).
Quick revision
Real image: inverted; virtual image: erect.
Myopia: image forms in front of retina. Hypermetropia: behind it.
Microscopes and telescopes use convex lenses.
Uses of concave lens: spectacles for myopia, peepholes, torches.
Orbits: Low Earth Orbit (180–2000 km), Medium Earth Orbit (2000–35,780 km), High Earth Orbit (above 35,780 km). Geostationary satellites (~35,780 km) seem fixed over one place.
Launch vehicles: PSLV and GSLV (India, ISRO).
India's missions: Aryabhata (1975), Chandrayaan-1 (2008, found water on the Moon), Mangalyaan (2013), Chandrayaan-3 (landed near the Moon's south pole, 2023).
Space debris: old satellites and pieces orbiting Earth; a danger to working satellites.
Important terms
Escape velocity – 11.2 km/s from Earth's surface.
Orbital velocity – speed needed to stay in an orbit.
Launch vehicle – rocket that carries a satellite to its orbit.
Formulas
Formula
Meaning
v_c = √(GM/(R + h))
orbital speed at height h
v_esc = √(2GM/R)
escape velocity
Example
A satellite higher up moves more slowly: v depends on 1/√(R + h), so as h increases, v decreases.
Quick revision
ISRO = Indian Space Research Organisation (1969).
Geostationary satellite period = 24 hours.
GSLV for heavy satellites to higher orbits.
Debris can be reduced by de-orbiting old satellites.