04/06/2021
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
