GUJCET key terms
GUJCET · Get comfortable with the vocabulary.
- Projectile motion
- Related: Escape velocity
Motion of an object thrown into the air that moves only under gravity after launch, following a curved path; horizontal and vertical motions are analysed separately.
- Work-energy theorem
- Related: Moment of inertia
States that the net work done on a body equals its change in kinetic energy, letting force problems be solved by tracking energy instead of acceleration.
- Escape velocity
- Related: Projectile motion
Minimum speed an object needs at a planet's surface to leave its gravity permanently without further propulsion; for Earth it is about 11.2 kilometres per second.
- Photoelectric effect
Emission of electrons from a metal surface when light of sufficiently high frequency strikes it; the effect shows that light delivers energy in discrete quanta.
- Total internal reflection
Complete reflection of light back into a denser medium when it strikes a boundary beyond the critical angle, used in optical fibres and prisms.
- Kirchhoff's laws
Two circuit rules: the junction rule says current entering a node equals current leaving, and the loop rule says voltage changes around a closed loop sum to zero.
- Moment of inertia
- Related: Work-energy theorem
Measure of a body's resistance to change in rotational motion, depending on its mass and on how that mass is distributed about the axis.
- Doppler effect
Change in the observed frequency of a wave when source and observer move relative to each other, heard as a higher or lower pitch.
- Semiconductor doping
Adding small amounts of impurity atoms to a pure semiconductor to increase its conductivity and create n-type or p-type material.
- Mole concept
- Related: Ionic product of water
Relationship stating that one mole of any substance contains Avogadro's number of particles and has a mass in grams equal to its formula mass.
- Le Chatelier's principle
- Related: Entropy
When a system at equilibrium is disturbed by changes in concentration, pressure or temperature, it shifts in the direction that partly opposes the change.
- Hybridisation
- Related: Coordination number
Model explaining molecular shapes in which atomic orbitals of similar energy mix to form equivalent new orbitals with definite geometry and bonding properties.
- Electrode potential
- Related: Ionic product of water
Voltage developed at an electrode relative to a standard hydrogen electrode, indicating the tendency of a half-cell to lose or gain electrons.
- Raoult's law
- Related: Le Chatelier's principle
For ideal solutions, the partial vapour pressure of each component equals its mole fraction multiplied by the vapour pressure of the pure component.
- Markovnikov's rule
- Related: Aromaticity
In addition of a hydrogen halide to an unsymmetrical alkene, the hydrogen adds to the carbon bearing more hydrogens, giving the more stable carbocation intermediate.
- Aromaticity
- Related: Markovnikov's rule
Property of planar, cyclic, conjugated systems with (4n+2) pi electrons that makes them unusually stable and gives characteristic substitution reactions.
- Coordination number
- Related: Hybridisation
Number of donor atoms directly bonded to the central metal ion in a complex, determining its geometry such as octahedral or tetrahedral.
- Ionic product of water
- Related: Electrode potential
Product of hydrogen and hydroxide ion concentrations in water, equal to about 10^-14 at 25 degrees Celsius and used to find pH.
- Entropy
- Related: Le Chatelier's principle
Thermodynamic measure of disorder or energy dispersal in a system; spontaneous processes tend to increase the total entropy of the universe.
- Determinant
- Related: Inverse matrix
A number computed from a square matrix that tells whether the matrix is invertible and gives the area or volume scaling of the transformation.
- Rolle's theorem
- Related: Continuity
If a function is continuous on a closed interval, differentiable inside it, and equal at both endpoints, then its derivative is zero somewhere inside.
- Integration by parts
Technique that rewrites the integral of a product using the product rule, choosing one factor to differentiate and the other to integrate.
- Complex conjugate
Number obtained by changing the sign of the imaginary part; multiplying a complex number by its conjugate gives a real value equal to the squared modulus.
- Binomial distribution
- Related: Permutation
Probability distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.
- Dot product
Scalar obtained from two vectors by multiplying corresponding components and adding, equal to the product of their magnitudes and the cosine of the angle between them.
- Permutation
- Related: Binomial distribution
Arrangement of objects in a definite order, where changing the order gives a different arrangement, as opposed to a combination where order does not matter.
- Continuity
- Related: Rolle's theorem
Property of a function whose value at a point equals its limit there, so that its graph has no break or jump at that point.
- Inverse matrix
- Related: Determinant
Matrix that multiplies a given square matrix to give the identity matrix; it exists only when the determinant is nonzero.
- Mitosis
Cell division producing two genetically identical daughter cells with the same chromosome number, used for growth and repair in body tissues.
- Transcription
- Related: Restriction enzyme
Process in which RNA polymerase copies a DNA strand into messenger RNA, which then carries the code to ribosomes for protein synthesis.
- Law of segregation
- Related: Linkage
Mendel's principle that the two alleles of a gene separate during gamete formation, so each gamete carries only one allele.
- Light reactions
- Related: Ecological pyramid
Stage of photosynthesis in the thylakoid membranes where light energy splits water, releases oxygen and produces ATP and NADPH.
- Restriction enzyme
- Related: Transcription
Bacterial protein that cuts DNA at specific recognition sequences, used in genetic engineering to insert or analyse gene fragments.
- Osmoregulation
- Related: Homeostasis
Control of water and solute balance in body fluids so that cells neither swell nor shrink excessively, carried out largely by the kidneys.
- Ecological pyramid
- Related: Light reactions
Diagram showing the amount of energy, biomass or numbers at each trophic level, usually narrowing upward because energy is lost at each transfer.
- Linkage
- Related: Law of segregation
Tendency of genes located close together on the same chromosome to be inherited together, reducing the proportion of recombinant offspring.
- Homeostasis
- Related: Osmoregulation
Maintenance of a stable internal environment, such as temperature and blood glucose, through negative feedback adjustments by the body.