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QUICK REVISION⏰
         FORMULAS

?1. Formulas related to force:
?️F = ma
?️F = kx
?️F = m(vf² - vi²/2S)
?️F = mv/t
?️F = md/t²
?️F = m(vf - vi)/t
?️F = Area × density × velocity²
?️F = 1/2 mv²/d
?️F = 1/2 Pv/d
?️F = Power/velocity
?️Fc = mv²/r
?️Fc = mrw²
?️Fc/2 = mv²/2r
?️Fc = 2K.E/r
?️F = Area × Stress
?️F = pir² × stress
?️F = YA × Strain
?️F = YAl/L
?️F = pressure × area
?️F = change in momentum × time interval
?️F = - 2mVx × Vx/2l
?️F2 = F1/A1 × A2
?️F = qE
?️F = kQ/r²
?️F = ILB sintheta
?️F = q (v × B)
?️F = qE + q(v × B)

?2. Formulas related to energy and work
?Fd = k.e
?mgh = 1/2 mv²
?E = 1/2 kx²
?E = Ve
?E = nhf
?E = nhc/lambda
?E = Pc
?K.e = hf - work function = hf - hf° = hf - hc/w° (here w° is cutt off wavelength)
?E = 1/2 Pv
?mv²/2r= Fc/2
?K.E/r = Fc/2
?K.E = Fc×/r/2
?K.e = 1.5 KT
?E = VQ
?E = Power × time
?E = Fvt
?% loss in K.e = v1² - v2²/v1² × 100
?% loss in P.e = h1² - h²/h1² × 100
?Energy lost due to air friction(Fh) = 1/2mv² - mgh (when body is thrown upward)
?Energy lost due to air friction(FS) = mgh - 1/2mv² (when body is thrown downward)
?E = 1/2 CV² (capacitor)
?E = R × hc (R is Rydberg' constant)
J = m-¹ × Js ms-¹
?hf kalpha x rays = EL - Ek
hf kbeta x rays = EM - Ek
?Binding energy = mass defect × c²
?W = Fd Costheta
?W = nmgh (when person is climbing stairs)
?W = n(m+m) gh (when person is climbing stairs with some load)
?W = 0mgh + 1mgh + 2mgh + 3mgh ....... (in case of stacking bricks. For ist brick h=0. For 2nd brick h=1. For 3rd brick h=2 and so on)
?W = Fd = PA × change in V
?W = Q - change in U
?Q = mc × change in T
T/273.16 = Q/Q3 (Thermodynamic scale)
?W = I²Rt
?W = emf×charge
?W = VQ
?W = 1/2 lF
?W = YAl²/2L
?W = StressAl²/2Strain
?W = PressureAl²/2Strain
?W = Fl²/2Strain

?3. Formulas related to Power
?P = Fv
?P = E/t
?P = n(mgh/t)
?P = Fd/t
?P = mv²/2t

?4. Formulas related to distance, displacement, velocity and accelration
?d = vt
?d = at²
?d = (vf + vi/2) ×t
?d = 5t² (for distance in 'n' seconds)
?d = 5(2tn - 1) (for distance in 'nth' second)
?d = 1/2 mv²/F
?d = vit + 5t²
?d = v × underroot 2H/g
?d = vt = x°wt = x°2pi/T × t = x°2pift
?x = x° Sin wt
?x = x° Sin (underroot k/m) t
vf = vi + at
?2as = vf² - vi²
?2as = (vi + at)² - vi²
?2as = vf² - (vf - at) ²
?v = underroot Vfx² + Vfy²
?v = Power/Force
?v = 2×K.E/momentum (k.e = 1/2 Pv)
?v² = 2×Power×time/mass (P = mv²/2t)
v = underroot 2as
v = underroot gr (speed at highest point in a verticle circle)
v = underroot 5gr (speed at lowest point in a verticle circle)
?v² = 2FS/m
?v² = 2E/m
?v² = 2Ve/m
?v = eBr/m (velocity of particle under action of magnetic force along circular path)
?v² = Force/Area.Density
?v = w underroot x°² - x²
?v = underroot k/m × underroot x°² - x²
?v = x°w (at mean position where x=0)
?v = x° underoot k/m
?v = v° underroot 1 - x²/x°² (for determining ratio b/w inst. Velocity and maxi. Velocity)
?v= x°2pif = x°2pi/T
?a = x°w² = x°w.w = vw = v.2pif
Common velocity = m1v1/m1+m2
?vi² = Rg/Sin2theta
?v = underoot Tension×length/mass
?V = 2pi ke²/nh (speed of e- in nth orbit)
?Vn = V/n
?v = nh/2pimr (lambda = 2pir and lambda=h/p)
?ma = kx
?a = kx/m (SHM)
?a = - gx/l (Simple pendulum)
?ac = v²/r

?5. Formulas related to wavelength 'w'
?w = v/f
?w = 1/wave number
?w1 = 2l (when pipe is opened at both ends)
?w1 = 4l (when pipe is opened at one end)
?Delta w = Us/f (doppler shift)
Wavelength for obs. = w - delta w = v/f - Us/f
?w = hc/Ve
?w = hc/E
?w = h/mv
?w = h/P as P = underroot 2mE so
?w = h/underroot 2mE (de Broglie wavelength)
?w = underroot 150/V A° (short method for de Broglie wavelength. This formula is applicable only for e-)
?1/w = RH (1/p²-1/n²)
?Wmaxi/Wmini = n²/n²-p² (for determining ratio b/w maxi. Wavelength to mini. Wavelength for series of atomic spectrum)
?w = 2pir/n (n is no. of loops in a circle)
?h/mv = 2pir

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-- RØBIN