Science quick-facts sheet for CUET's General Aptitude Test
The formulas, facts and pairs to remember from all five Science and Environment chapters on one page: physics, chemistry, the human body, ecology and the environment treaties.
This is the page to read the night before the test. Each section is the short version of one chapter; the chapter notes have the explanations and worked examples, and every chapter has its own practice questions.
Which physics formulas do you need?
speed in m/s = speed in km/h × 5/18
acceleration a = (v − u) ÷ t force F = m × a weight W = m × g
free fall from rest: v = g t, h = ½ g t²
pressure P = F ÷ A wave speed = frequency × wavelength
echo: distance = speed × time ÷ 2
Ohm's law V = I R power P = V I = I² R = V² ÷ R
series R = R1 + R2 + … parallel 1/R = 1/R1 + 1/R2 + …
energy in kWh = kW × hours lens power P = 1 ÷ f (f in metres)
lens 1/v − 1/u = 1/f mirror 1/v + 1/u = 1/f
°F = (9/5) °C + 32 K = °C + 273
- Mass never changes from place to place; weight on the Moon is about one-sixth.
- A convex lens with the object beyond 2F gives a small, real, inverted image (camera); between F and 2F a large one (projector); inside F a virtual, erect, magnified one (magnifying glass).
- Convex mirrors and concave lenses always give virtual, erect, diminished images. Shaving mirrors are concave; rear-view mirrors are convex.
- Sound needs a medium and is fastest in solids. Humans hear 20 Hz to 20,000 Hz. Each 10 dB is ten times the intensity.
- The sky is blue because air scatters blue light most. Diamonds sparkle by total internal reflection.
- A generator works by electromagnetic induction; a fuse melts on overload.
- Celsius and Fahrenheit agree at −40. Body temperature is 37 °C, or 98.6 °F.
Which chemistry facts come up most?
| Common name | Chemical |
|---|---|
| common salt | sodium chloride, NaCl |
| baking soda | sodium hydrogencarbonate, NaHCO₃ |
| washing soda | sodium carbonate, Na₂CO₃·10H₂O |
| bleaching powder | calcium oxychloride, CaOCl₂ |
| plaster of Paris | CaSO₄·½H₂O, made from gypsum |
| quicklime / slaked lime | CaO / Ca(OH)₂ |
| dry ice | solid CO₂ |
| laughing gas | N₂O |
| LPG / CNG | butane and propane / methane |
- pH 7 is neutral; lower is acidic. Lemon juice is about 2, soap about 10, and enamel starts to dissolve below about 5.5.
- Acid + base → salt + water. Antacids and baking soda neutralise acid.
- Natural acids: citric (lemon), acetic (vinegar), lactic (curd), tartaric (tamarind), formic (ant sting).
- Mercury is the liquid metal and bromine the liquid non-metal. Silver conducts best, then copper. Graphite is the non-metal that conducts; diamond is the hardest natural substance.
- Brass is copper and zinc; bronze is copper and tin; stainless steel is iron with chromium and nickel. Galvanising coats iron with zinc.
- Rust needs both air and water. Silver tarnishes black (sulphide); copper turns green (basic carbonate).
- Reaction types: combination, decomposition, displacement, double displacement. Burning and respiration are exothermic; photosynthesis is endothermic.
Which body and health facts must you know?
- Mitochondria release energy; ribosomes make proteins; lysosomes are suicide bags; chloroplasts do photosynthesis; plant cells have a cell wall.
- The heart has four chambers. Arteries carry blood away from the heart; the pulmonary vein is the vein with oxygen-rich blood. Normal blood pressure is about 120/80 mm Hg.
- The skin is the largest organ, the liver the largest gland and the pituitary the master gland. The femur is the longest bone; an adult has 206.
- Bile is made in the liver and stored in the gall bladder. Most food is absorbed in the small intestine. Nephrons filter blood in the kidneys.
- Insulin comes from the pancreas; thyroxine needs iodine.
| Deficiency | Disease |
|---|---|
| vitamin A | night blindness |
| vitamin B1 | beri-beri |
| vitamin C | scurvy |
| vitamin D | rickets |
| vitamin K | poor blood clotting |
| iodine | goitre |
| iron | anaemia |
| protein | kwashiorkor |
| protein and calories | marasmus |
- Malaria: Plasmodium, carried by the female Anopheles mosquito. Dengue: a virus carried by Aedes. TB, cholera and typhoid are bacterial; colds, measles, polio and AIDS are viral.
- Antibiotics do not work on viruses. Fleming found penicillin (1928); Jenner made the first vaccine, against smallpox (1796).
- O is the universal donor and AB the universal recipient.
- Xylem carries water up; phloem carries food. Transpiration is water loss through stomata. Ethylene ripens fruit. Plants respire day and night.
What are the ecology rules and India's conservation facts?
- Arrows in a food chain point from food to eater. Count trophic levels from the producer.
- About 10% of the energy passes from one level to the next. Energy flows one way; nutrients cycle. The pyramid of energy is never inverted.
- Persistent poisons such as DDT concentrate up the chain (biomagnification).
- Nitrogen cycle: fixation (Rhizobium in legume nodules, lightning), ammonification, nitrification (ammonia to nitrates), denitrification (back to nitrogen gas). Air is 78% nitrogen and 21% oxygen.
- The phosphorus cycle has no gaseous stage. About 97% of Earth's water is salt water.
- India shares four of the world's 36 biodiversity hotspots: the Himalaya, Indo-Burma, the Western Ghats and Sundaland (Nicobar Islands).
| Place | Known for |
|---|---|
| Jim Corbett (1936) | India's first national park |
| Kaziranga, Assam | one-horned rhinoceros |
| Gir, Gujarat | Asiatic lion |
| Sundarbans, West Bengal | mangroves and tigers |
| Keoladeo, Rajasthan | birds |
| Hemis, Ladakh | snow leopard |
| Kuno, Madhya Pradesh | cheetahs brought back in 2022 |
| Nilgiri (1986) | India's first biosphere reserve |
- Wildlife (Protection) Act 1972; Project Tiger 1973; Project Elephant 1992; Biological Diversity Act 2002. Chipko began in 1973.
- In situ: national parks, sanctuaries, sacred groves. Ex situ: zoos, seed banks.
Which pollution facts and treaties should you remember?
- Carbon monoxide blocks haemoglobin. Bhopal (1984) was methyl isocyanate.
- Minamata is mercury, Itai-itai cadmium, blue baby nitrate, fluorosis fluoride; arsenic affects the groundwater of West Bengal.
- Eutrophication is an algal bloom that strips water of oxygen. A high BOD means polluted water.
- Photochemical smog comes from vehicle exhaust in sunlight. PM2.5 is particles 2.5 micrometres or smaller. Bharat Stage VI norms began nationwide on 1 April 2020.
- The ozone layer is in the stratosphere and absorbs ultraviolet light; CFCs destroy it, and the hole was found over Antarctica in 1985.
- Greenhouse gases: water vapour (most abundant), carbon dioxide (main one added by people), methane, nitrous oxide, CFCs and HFCs. Nitrogen and oxygen are not greenhouse gases.
- India aims for net zero by 2070. Adaptation copes with effects; mitigation cuts emissions.
| Treaty | Subject |
|---|---|
| Ramsar 1971 | wetlands |
| CITES 1973 | trade in endangered species |
| Vienna 1985 and Montreal 1987 | the ozone layer |
| Basel 1989 | hazardous waste |
| Rio 1992 | UNFCCC and CBD |
| Kyoto 1997 | emission cuts for developed countries |
| Cartagena 2000 | GM organisms |
| Stockholm 2001 | persistent organic pollutants |
| Nagoya 2010 | benefit sharing |
| Paris 2015 | well below 2 °C, aim for 1.5 °C |
| Kigali 2016 | HFCs |
Days: Wetlands 2 February, Earth 22 April, Environment 5 June, Ozone 16 September.
Which traps cost the most marks in Science?
- Dividing mass by six on the Moon.
- Forgetting to halve an echo's path.
- Adding resistors in parallel.
- Choosing copper as the best conductor, or brass for bronze.
- Taking the ovum for the longest cell, or the liver for the largest organ.
- Mixing up the Stockholm Conference (1972) and Convention (2001).
- Calling a tiger that eats deer a tertiary consumer.
- Treating ground-level ozone as protective.