GUJCET study materials
GUJCET study resources

GUJCET key terms

GUJCET · Get comfortable with the vocabulary.

Projectile motion

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.

Related: Escape velocity
Work-energy theorem

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.

Related: Moment of inertia
Escape velocity

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.

Related: Projectile motion
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

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.

Related: Work-energy theorem
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

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.

Related: Ionic product of water
Le Chatelier's principle

When a system at equilibrium is disturbed by changes in concentration, pressure or temperature, it shifts in the direction that partly opposes the change.

Related: Entropy
Hybridisation

Model explaining molecular shapes in which atomic orbitals of similar energy mix to form equivalent new orbitals with definite geometry and bonding properties.

Related: Coordination number
Electrode potential

Voltage developed at an electrode relative to a standard hydrogen electrode, indicating the tendency of a half-cell to lose or gain electrons.

Related: Ionic product of water
Raoult's law

For ideal solutions, the partial vapour pressure of each component equals its mole fraction multiplied by the vapour pressure of the pure component.

Related: Le Chatelier's principle
Markovnikov's rule

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.

Related: Aromaticity
Aromaticity

Property of planar, cyclic, conjugated systems with (4n+2) pi electrons that makes them unusually stable and gives characteristic substitution reactions.

Related: Markovnikov's rule
Coordination number

Number of donor atoms directly bonded to the central metal ion in a complex, determining its geometry such as octahedral or tetrahedral.

Related: Hybridisation
Ionic product of water

Product of hydrogen and hydroxide ion concentrations in water, equal to about 10^-14 at 25 degrees Celsius and used to find pH.

Related: Electrode potential
Entropy

Thermodynamic measure of disorder or energy dispersal in a system; spontaneous processes tend to increase the total entropy of the universe.

Related: Le Chatelier's principle
Determinant

A number computed from a square matrix that tells whether the matrix is invertible and gives the area or volume scaling of the transformation.

Related: Inverse matrix
Rolle's theorem

If a function is continuous on a closed interval, differentiable inside it, and equal at both endpoints, then its derivative is zero somewhere inside.

Related: Continuity
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

Probability distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.

Related: Permutation
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

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.

Related: Binomial distribution
Continuity

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.

Related: Rolle's theorem
Inverse matrix

Matrix that multiplies a given square matrix to give the identity matrix; it exists only when the determinant is nonzero.

Related: Determinant
Mitosis

Cell division producing two genetically identical daughter cells with the same chromosome number, used for growth and repair in body tissues.

Transcription

Process in which RNA polymerase copies a DNA strand into messenger RNA, which then carries the code to ribosomes for protein synthesis.

Related: Restriction enzyme
Law of segregation

Mendel's principle that the two alleles of a gene separate during gamete formation, so each gamete carries only one allele.

Related: Linkage
Light reactions

Stage of photosynthesis in the thylakoid membranes where light energy splits water, releases oxygen and produces ATP and NADPH.

Related: Ecological pyramid
Restriction enzyme

Bacterial protein that cuts DNA at specific recognition sequences, used in genetic engineering to insert or analyse gene fragments.

Related: Transcription
Osmoregulation

Control of water and solute balance in body fluids so that cells neither swell nor shrink excessively, carried out largely by the kidneys.

Related: Homeostasis
Ecological pyramid

Diagram showing the amount of energy, biomass or numbers at each trophic level, usually narrowing upward because energy is lost at each transfer.

Related: Light reactions
Linkage

Tendency of genes located close together on the same chromosome to be inherited together, reducing the proportion of recombinant offspring.

Related: Law of segregation
Homeostasis

Maintenance of a stable internal environment, such as temperature and blood glucose, through negative feedback adjustments by the body.

Related: Osmoregulation