GATE GE study materials
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GATE GE flashcards

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32 cards. Read the term and the definition here. The deck at the top of this page is optional.

Bending stress formula
Normal stress in a beam is σ = My/I, where M is the bending moment, y is the distance from the neutral axis, and I is the second moment of area.
Carnot efficiency
The maximum possible efficiency of a heat engine between two reservoirs is 1 − T_L/T_H, using absolute temperatures. No real engine exceeds it.
Reynolds number
Re = ρVD/μ compares inertial to viscous forces. Pipe flow is typically laminar below about 2000 and fully turbulent above about 4000.
Mohr's circle radius
For plane stress, the circle radius is R = √[((σx−σy)/2)² + τxy²]. Principal stresses equal the centre value plus or minus R.
Binary search complexity
Searching n sorted items by repeated halving takes about log₂n comparisons, giving O(log n) time, but it needs sorted data and random access.
TCP three-way handshake
A TCP connection opens with SYN, then SYN-ACK, then ACK. This synchronizes sequence numbers and confirms both endpoints can send and receive.
Third normal form
A relation is in 3NF when it is in 2NF and has no transitive dependency, meaning non-key attributes depend only on candidate keys.
Coffman deadlock conditions
Deadlock needs mutual exclusion, hold-and-wait, no preemption, and circular wait simultaneously. Breaking any one condition prevents deadlock.
AMAT formula
Average memory access time equals hit time plus miss rate multiplied by miss penalty. It combines cache latency with the cost of fetching from lower levels.
Floor Area Ratio
FAR is total built-up floor area divided by plot area. Combined with ground coverage, it determines the average number of storeys allowed.
Daylight factor
Daylight factor is indoor illuminance at a point divided by simultaneous unobstructed outdoor horizontal illuminance, expressed as a percentage.
Ground coverage
Ground coverage is the building footprint area divided by plot area. It is controlled separately from floor area ratio and height limits.
Ductile seismic detailing
Structures are detailed so that yielding occurs in planned plastic hinges, absorbing energy rather than failing brittlely during an earthquake.
Universal design principles
These include equitable use, flexibility in use, simple and intuitive use, perceptible information, tolerance for error, low physical effort, and adequate size and space.
Ideal gas law
PV = nRT relates pressure, volume, moles, and absolute temperature, with R = 8.314 J/(mol·K). At STP, one mole occupies about 22.4 litres.
pH definition
pH equals the negative base-10 logarithm of hydrogen ion concentration. A change of one pH unit means a tenfold change in hydrogen ion concentration.
Le Chatelier's principle
A system at equilibrium shifts to oppose a disturbance. Raising pressure favours the side with fewer gas moles; raising temperature favours the endothermic direction.
Snell's law
n₁sinθ₁ = n₂sinθ₂ governs refraction at an interface. Total internal reflection occurs only when light moves from higher to lower refractive index.
DNA base pairing
Adenine pairs with thymine through two hydrogen bonds, and guanine pairs with cytosine through three. This complementarity underlies replication and transcription.
Break-even quantity
Break-even quantity equals fixed costs divided by contribution margin per unit, where contribution margin is selling price minus variable cost per unit.
Net Present Value rule
NPV discounts all project cash flows at the required rate and subtracts the initial outlay. A positive NPV means the project adds value.
Accounting equation
Assets equal liabilities plus equity. Every transaction keeps this equality intact because each entry has an equal and opposite counterpart.
Current ratio
Current ratio is current assets divided by current liabilities. The quick ratio removes inventory from current assets to test short-term liquidity more strictly.
Weighted average cost of capital
WACC weights the cost of equity and after-tax cost of debt by their market value shares. It is the minimum return a firm should earn on investments.
Straight-line depreciation
Annual depreciation equals cost minus salvage value, divided by useful life. The written-down-value method instead applies a fixed rate to opening book value.
Shakespearean sonnet
A fourteen-line poem in iambic pentameter with rhyme scheme abab cdcd efef gg, ending in a couplet that typically sharpens or reverses the argument.
Iambic pentameter
A line of five iambic feet, each an unstressed syllable followed by a stressed one, giving ten syllables with alternating stress.
Ad hominem fallacy
An argument that attacks the person making a claim rather than addressing the claim itself. It is a fallacy because personal traits do not determine truth.
Primary versus secondary source
A primary source originates in the period studied; a secondary source interprets such evidence. The distinction depends on use, not on format alone.
Theme versus motif
Theme is the underlying idea a work explores, while motif is a recurring element that supports it. A symbol carries meaning beyond its literal sense.
Cubism
An early twentieth-century movement, emerging around 1907, that fractures form into multiple simultaneous viewpoints, rejecting single-point perspective.
Renaissance periodization
The Renaissance spans roughly the fourteenth to sixteenth centuries in Europe, preceding the Baroque. Dates vary by region and by artistic medium.