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Physics by Mind Map: Physics

1. Mechanics

1.1. Kinematics

1.2. Laws of motion

1.3. Work, power & energy

1.4. Centre of mass

1.5. Rotation

1.6. Gravitational

1.7. SHM.

2. Electric

2.1. Electrostatic

2.1.1. Columb law. F=kqq'/r^2

2.1.2. Field. E=F/q Due to ring. E=KQx/(R^2+x^2)^3/2

2.1.3. Potential energy. U=kqq'/r

2.1.4. Potential. V=kq/r or v=w/q dv=E.dr

2.1.5. Dipole moment, p=q*2a Axis =2kp/r^3 Equator =-kp/r^3

2.1.6. Gauss law. Φ=E. A=EAcosα Φ=§E.dA=q in. /€• Net flux =0 for close surface

2.1.7. Capacitor Capacitance. C=Q/V For parallel plate. =A€o/d Spherical. =4π€oRr/r-R Combination Series. 1/C=1/c1+.....+1/cn Parallel. C=c1+....+cn Field between capacitor =Q/2A€o Dielectric. C=C€o

2.2. Current electricity

2.2.1. Density. i=§ j. dA j=nev(d)

2.2.2. Drift v. =eΕτ/2m

2.2.3. Ohm'slaw j=σE ९=1/σ

2.2.4. Charging of capacitor q=£C(1-e^-t/cR)

2.2.5. Discharging capacitor q=Qe^-t/RC

2.2.6. Thermal energy produce in resistor U=i^2Rt

3. Magnetic

3.1. Force

3.1.1. On point F=qvBsinα

3.1.2. On current carrying wire F'=il' X B'

3.1.3. Torque. τ=iA' x B' (iA= magnetic dipole moment)

3.1.4. Pitch of helical. P=T v(parallel)

3.2. Field due to current

3.2.1. Biotsivert law . Β=μi dl sinθ /4πr^2

3.2.2. Amperes law. §B. dl=μο i(net)

3.2.3. Large sheet of current. B=μοk/2

4. Electro magnetic

4.1. Amount of charge. q=-dΦ/R(R=resistant)

4.2. motional emf.f=-e(v x b)

4.2.1. Motion of electron stop when. F(electric)=F(magnetic)

4.2.2. Emf of moving conductor.ε=Blv

4.2.3. With angle Θ . ε=Bvl sinθ

4.2.4. Due to rotation. ε=Bωl^2/2

4.2.5. General form. §(v x B). dl

4.3. Induced electric field.

4.3.1. §E. dl=-dΦ(B) /dt

4.4. Mutual induction. (M)

4.4.1. Φ2=-M i1 ε=-M di/dt

4.5. Self induction. (L)

4.5.1. Φ=-Li ε=-Ldi/dt

4.6. Induced emf. ε(ind.)=-dΦ/dt

4.6.1. Emf produced only when ф varies. ф = BA cosፀ

4.7. Energy stored in inductor. E=L i^2/2

4.7.1. Energy density in magnetic field. U=B^2V/2μο.(V=volume)

5. Modern physics

5.1. Photoelectric effect. (ejection of electron)

5.1.1. Energy of photons. E=hc/λ=hν (h= plank's constant=6.62 x 10^-34 Kinetic energy. K(max)=hν-Φ

5.1.2. Momentum of photons. P=h/λ=E/c.

5.1.3. Frequency. ν=Φ/h

5.1.4. Stopping potential. Vο=K. E. /e=hν/e - φ/e

5.2. Dual nature of light.

5.2.1. Equivalent mass of photon M=hν/c^2

5.2.2. No. of photon per unit time from source. n=p/E (p=power of source)

5.2.3. Intensity I=p/A

5.2.4. Photon flux Φ=I/E

5.2.5. Force on surface For black body. F=p/c Reflecting body F=2p/c

5.2.6. De broglie. λ=h/p=h/mv=h/√2mk=h/√2mqV(volt) For electron. λ=12.27/√V(volt)

5.3. Atomic physics

5.3.1. ΔΕ=hν, mvr=nh/2π

5.3.2. Radius. r= 0.53n^2/z (Ά) Velocity. v=cz/137 n

5.3.3. K. E. =ze^2/8πεοr P. E. U=-2 K. E. Total = K. E + U = -K. E. =13.6z^2/n^2 E=-k. E=1/2 U Exitation potential. V=E(ext) /e

5.3.4. Wave length of photons. 1/λ=R[1/n^2 - 1/m^2] Lyman, Balmer, paschen, Brackett, pfund

5.4. Nuclear physics

5.4.1. Radius of nucleus. R=R'A^1/3 (R'=1.1 x 10^-15) Mass defect =mass expected - mass observed Mass expected=atomic mass Mass observed=atom mass - mass of electron

5.4.2. Stability is depending on B. E. / nucleon B. E. /nucleon=B.E./mass no. B. E. =Mass defect x c^2

5.4.3. Packing fraction (f) α 1/stability (f) = mass defect/ mass no.

5.4.4. Q value. Is define energy release during decay process Q=Σ(B. E.) product -Σ(B. E.) reactant

5.5. Radio activity

5.5.1. Law of decay. N=Nο(e-λt)

5.5.2. Average life of nucleus. T(avg)=1/λ.

5.5.3. Activity. Rate of disintegration A=Aο (e^-λt). (Aο =Nο (-λ))

5.5.4. Probability of surviving nuclei P(survival)=e^-λt

6. Optics

6.1. Reflection

6.1.1. Mirror formula. 1/v+1/u=1/f Magnification. M=h(obj)/h(img)=-v/u Power. P=-1/f

6.1.2. Velocity. v(i)=-m^2v(obj)

6.2. Refraction

6.2.1. Snells law. sin(i)/sin(r)=v1/v2=μ2/μ1

6.2.2. Image due to refraction at plan surface For denser to rare Apparent depth =μ2/μ1(actual depth) For rare to denser Apparent depth /actual depth =1/μ Multiple medium d(ape)=d(act)/μ1+d(act)μ2....

6.2.3. At curved surface. μ2/v -μ1/u= μ2-μ1/R Magnification. M=h(i)/h(o)=vμ1/uμ2

6.2.4. TIR critical angle. Θ(c)

6.2.5. Glass slab Normal shift. d=(μ-1)t/μ Lateral shift. Δ=t sin(i-r) /cosr

6.2.6. Prism. Deviation. δ=i+e-(r1+r2) (A=r1+r2= angle of prism) Minimum deviation. i=e ,r1=r2 Max. deviation. i=π/2 Grazing angle. A<or= 2 θc. Dispersion. Deviation ray. δ=A(μ-1).

6.2.7. Lens Lens maker formula. 1/v-1/u=(μ2/μ1-1)[1/R1-1/R2] Lens formula. 1/v-1/u=1/f

6.3. Wave

6.3.1. Δφ/2π=ΔΧ/λ

6.3.2. Amplitude. A^2=A1^2+A2^2+A1A2cosφ

6.3.3. Intensity. I α A^2 I(max)= (√I1 + √I2)^2 I(min)=(√I1 - √I2)^2