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Science

Equations - R to T

   Rr Ss || Tt  
 
Name   Equation
 
 
Radioactive Decay   N = N 0 e - λt
Range of Projectile   R = v 2 sin 2 θ g
Rectangle, Area of   A = x y
Reactance of a Capacitor   X c = 1 ω C
Reactance of an Inductor   X L = ω L
Refractive Index   n = C C matter n = sin i sin r if the other refractive index = 1
Refractive Index Related to Wave Velocities   n = c v c m
Regular Polygon, Area of   A = n s r 2 = p r 2
Relativistic Mass   m = m 0 1 - v 2 c 2
Relativistic Mass-Energy Relation   E = m c 2
Resolving Power (Rayleigh criterion)   Δ l = 1.22 D
Resonance Condition for I   X L = X C
Resistivity   E = ρ J ρ = R A l
Resistor in Series   R = R 1 + R 2 + L + R n
Resistor in Parllel   1 R = 1 R 1 + 1 R 2 + L + 1 R n
Rhombus, Area of   A = x 1 x 2 2
RMS speed of molecules in ideal gas   c 2 ¯ = ( 3 R T M ) 1 / 2 = ( 3 p ρ ) 1 / 2
Root Mean Square Current   I r m s = I 0 / 2
Root Mean Square Voltage   V r m s = V 0 / 2
Rotational kinetic energy   T = 1 2 I ω 2
 
       
 
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   Ss Rr || Tt  
 
Name   Equation
 
 
Scale of Temperature   θ 100 = x θ - x 0 x 100 - x 0
Secant and Tangent, Intersecting   s t = t e t 2 = se
Secants, Intersecting   se = s e
Sector, Area of   A = n π r 2 360
Segment, Area of   A = n π r 2 360 - b h 2
Self-Inductance   L = I
Serial Relation   λ 1 N 1 = λ 2 N 2
Serial Relation for n   n 1 sin θ 1 = n 2 sin θ 2
Series Resistance   R = R 1 + R 2 + . . .
Specific Heat Capacity   c = H m θ
Specific Latent Heat   H = ml
Sphere, Surface Area of   S = 4 πr 2
Sphere, Volume of   V = 4 π 3 r 3
Spiral Spring, Simple Harmonic Motion   T = 2 π m k
Spring Constant   F = k x
Square, Area of   A = x 2
Standard deviation   s = 1 N Σ i = 1 N ( x i - x ) 2
Standing Wave   E = 2 E 0 sin k x cos ω t E = 2 E 0 sin ( 2 π x λ ) cos ( 2 π t T )
Stefan's Law   P = ε σ A ( T 4 - T e 4 )
Stellar Parallax   d = 1 P
Surface Area of a Cube   s = 6 e 2
Surface Area of a Cuboid   s = 2 lw + 2 lh + 2 wh
Surface Area of a Cylinder   s = 2 π r 2 + 2 πrh = 2 πr ( r + h )
 
       
 
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   Tt Rr || Ss  
 
Name   Equation
 
 
Tangent and Secant, Intersecting   s t = t e t 2 = se
Telescopic Magnification   m = f 0 f e
Temperature Variation of Resistance   R θ = R 0 ( 1 + αθ )
Thermal Conductivity   k = 1 3 C v , vol c ¯ l
Thin Film Interference   d cos θ i = ( 2 m + 1 ) λ f 4 for maxima d cos θ i = 2 m λ f 4 for minima
Thin Prism   d = A ( n - 1 )
Time of Flight of Projectile   t = 2 v sinθ g
Time period, circular motion   T = 2 π ω
Torque on a solenoid   Γ = NIAB sinα
Total Energy, Simple Harmonic Motion   E = 1 2 m ω 2 r 2
Transformer   V 2 V 1 = - N 2 N 1
Trapezoid, Area of   A = h 2 ( x 1 + x 2 )
Travelling Wave   Ψ = a sin ( ω t - k x ) Ψ = a sin 2 π ( t T - x λ )
Triangle, Area of   A = b h 2 = a b sin C 2
Triangle (Equilateral), Area of   A = h 2 3 3 = a 2 3 4
 
 

Rr | Ss | Tt
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