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Class-11 formula Notes
Fundamental Formula Details
| Equation of Motion | v = v0 + at s = s0 + v0t + ½at2 v2 = v02 + 2a(s − s0) v = ½(v + v0) |
| Newton’s law Weight | ∑F = ma ∑F = dp/dt W = mg |
| Dry Friction | fs ≤ μsN fk = μkN |
| Centripetal accel. | ac = v2 /r ac = − ω2r |
| Momentum | p = mv |
| Impulse | J = F∆t J = ⌡F dt |
| Impulse- momentum | F∆t = m∆v ⌡F dt = ∆p |
| Work Work-Energy | W = F∆s cos θ W = ⌡F · ds F∆s cos θ = ∆E ⌡F · ds = ∆E |
| kinetic Energy | K = ½mv2 K = p2/2m |
| Gravitational P.e | ∆Ug = mg∆h |
| Efficiency | η = Wout/Ein |
| Power | P = ∆W/∆t P = dW/dt |
| Power velocity | P = Fv cos θ P = F · v |
| angular velocity | ω = ∆θ/∆t ω = dθ/dt v = ω × r |
| angular acceleration | α = ∆ω/∆t α = dω/dt a = α × r − ω2 r |
| Torque | τ = rF sin θ τ = r × F |
| Moment of Inertia | I = ∑mr2 I = ⌡ r2 dm |
| Equation of rotation | ω = ω0 + αt θ = θ0 + ω0t + ½αt2 ω2 = ω02 + 2α(θ − θ0) ω = ½(ω + ω0) |
| Universal Gravitation | Fg = − Gm1m2 r̂/ r2 |
| Gravitational field | g = − Gm r̂/ r2 |
| Gravitational Potentialal | Vg = − Gm/r |
| Orbital Speed | v = √Gm/r |
| Escape speed | v = √2Gm/r |
| Simple pendulum | T = 2π√ℓ/g |
| Frequency angular frequency | f = 1/T ω = 2πf |
| Density pressure Pressure In a fluid | ρ = m/V P = F/A P = P0 + ρgh |
| Buoyancy | B = ρgVdisplaced |
| Mass Continuity Volume continuity | ρ1A1v1 = ρ2A2v2 A1v1 = A2v2 |
| Bernoulli’s equation | P1 + ρgy1 + ½ρv12 = P2 + ρgy2 + ½ρv22 |
| Kinematic Viscosity | ν = η/ρ |
| Reynolds number | Re = ρvD/η |
| Froude Number | Fr = v/√gℓ |
| Shear Modulus | F/A = G ∆x/y τ = Gγ |
| Bulk Modulus | F/A= K ∆V/V0 P = Κθ |
| Surface tension | γ = F/ℓ |
| Sensible heat Latent heat | Q = mc∆T Q = mL |
| ideal Gas law | PV = nRT |
| thermal Conduction | P = kA∆T/ℓ |
| Stefan-Boltzmann law | P = εσA(T4 − T04) |
| Internal Energy | ∆U = 3/2nR∆T∆U = 3/2Nk∆T |
| 1st law of thermodynamic | ∆U = Q + W |
| Intensity level | LI = 10 log (I/I0) |
| Pressure Level | LP = 20 log (∆p/∆P0) |
| Entropy Efficiency C.O.P | ∆S = ∆Q/T ηreal = 1 − QC/QH COPreal = QC/QH − QC |
| Energy- momentum | E2 = p2c2 + m2c4 |
| Mass- Energy | E = mc2 |
| Photon Momentum | p = h/λ p = E/c |
| Uncertainty Principle | ∆px∆x ≥ ℏ /2 |
| half Life | N = N02−t/T½ |
| Photon energy | E = hf E = pc |
| Lorentz factor | γ = 1/√(1 − v2/c2) |
Important Topic formula
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Class-11 formula Notes
Chemistry fundamental equation Formula
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Class-11 formula Notes
Mathematics Formula Details
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Important Notes PDF Details Download
| gravitation-part-1-and-2.pdf | Click here.pdf |
| Handbook_of_Physics.pdf | Chemistry Notes.pdf |
| Click here.pdf | Click here.pdf |
| Click here.pdf | Formula Related to Interest Simple Interest, S.I=P*T*R/100, Where P=Principal, T= Time in years, R=Rate of interest per annum Rate, R=100∗S.IP∗T Principal, P=100∗S.IR∗T Time, T=100∗S.IR∗P Discount = MP-SP Principal = Amount – Simple Interest |
| Formula Related to Set Properties Commutative property: A∪B=B∪A A∩B=B∩A Associative property:(A∪B)∪C=A∪(B∪C) (A∩B)∩C=A∩(B∩C) | .gif) |
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Class-11 formula Notes
Properties of Determinants of Matrices:
- If all the elements of a row (or column) are zeros, then the value of the determinant is zero. Click here
- The determinant of an Identity matrix (
) is 1. - If all elements of a row (or column) of a determinant are multiplied by some scalar number k, the value of the new determinant is k times of the given determinant. Therefore, If A be an n-rowed square matrix and K be any scalar. Then |KA| = |A| .
- If two rows (or columns) of a determinant are identical the value of the determinant is zero.
- Let A and B be two matrix, then det(AB) = det(A)*det(B).
- If B is obtained by adding c-times a row of A to a different row, the
- Let A be a matrix then,
|adj(A)| = 
|adj(adj(A))| = 
- NCERT Matrix Topic –Click here.pdf
- Science Quiz for class- 5 to 8
2. Mathematics Quiz class-6 to 8