units ,dimensions,scalars,vectors

Question

i want each and every formula in units ,dimensions,scalars ,vectors,one dimensional,two dimensional,3 dimensional motion,length,mass,time,units,dimensions,scalars,vectors

Karan Malhotra · Accepted Answer

Fundamental Physical Quantities: S.No Fundamental Physical Quantity Formula Dimensional Formula S.I Unit of physical quantity 1. Mass Amount of matter in the object M kg 2. Length L meter 3. Time T sec 4. Electric current I or A ampere 5. Amount of substance N mole(mol) 6. Luminous intensity J candela(cd) 7. Temperature K or Kelvin Derived Physical Quantities: S.No Derived Physical Quantity Formula Dimensional Formula S.I Unit of physical quantity 1. Area [] 2. Volume [] 3. Density [] 4. Specific Gravity [] No units 5. Frequency [] hertz 6. Angle No units 7. Velocity m/sec 8. Speed m/sec 9. Areal velocity 10. Acceleration 11. Linear momentum kg m/sec 12. Force kg-m/ or Newton 13. Weight w=mg kg-m/ or Newton 14. Moment of force/Torque/Couple kg 15. Impulse kg m/sec or Ns 16. Pressure N/ or Pa 17. Work Nm or Joule 18. Kinetic Energy joule 19. Potential Energy mgh joule 20. Gravitational constant 21. Gravitational field strength 22. Gravitational Potential 23. Force constant (k) 24. Power W or J/sec 25. Moment of Inertia ( I ) kg 26. Stress N/ or Pa 27. Strain No units 28. Modulus of Elasticity N/ or Pa 29. Poission&rsquo;s Ratio &sigma; =-1 No units 30. Velocity gradient 31. Coefficient of dynamic viscosity kg(or) N-sec/$latex \m^2$ (or)pascal-sec (or)poiseuille 32. Surface Tension ,N/m 33. Angular displacement () no Units 34. Angular velocity(&omega;) rad/sec 35. Angular acceleration(α) rad/ 36. Angular momentum I&omega; 37. Angular Impulse I&omega; 38. Temperature or K kelvin or degree Celsius 39. Coefficient of linear expansion(α) /kelvin 40. Specific heat 41. Latent heat 42. Entropy 43. Thermal capacity 44. Gas constant 45. coefficient of thermal conductivity 46. Pole strength Am 47. Magnetic Moment 48. Magnetic flux weber ; ;J/Amp 49. Magnetic field,magnetic flux density (B) Tesla; 50. Permeability of free space 51. Magnetic susceptibilty also called volumetric or bulk susceptibility &chi;m &chi;m = &mu;r &minus; 1 no units 52. Electric Charge Amp sec , coul 53. Electric potential Volt 54. E.M.F Volt 55. Electric Capacity Farad 56. Electric Resistance Ohm (&Omega;) or volt/amp 57. Resistivity Ohm mt (&Omega;-m) 58. Conductivity 1/ Siemens/m 59. Permittivity farad/m 60. Electric conductance Siemens (or) mhos 61. Electric power Watt 62. Electrical Impedance(Z) Ohm (&Omega;) or volt/amp 63. Electrical admittance 1/Z(Reciprocal of electric impedance) Siemens (or) mhos 64. Self Inductance(L) weber/amp or Henry 65. Boltzmann&rsquo;s constant J/kelvin 66. Stefan&rsquo;s constant 67. Co-efficient of friction =,N=Normal reaction dimension less scalar no units 68. Dielectric constant It is also called relative permittivity dimension less no units 69. Planck&rsquo;s constant J.sec (or) eV.sec 70. Refractive index &mu; no units 71. Focal length(f) Distance between center of the lens(mirror) to its focus L meter 72. Power of a lens (P) The reciprocal of the focal length of a lens in meters is called power of a lens; p=1/f diaptors 73. Wave number No.of waves/distance 74. Wave length Length of a wave L meter

S.No	Derived Physical Quantity	Formula	Dimensional Formula	S.I Unit of physical quantity
1.	Area	$l\times b$	[ $M^0L^2T^o$ ]	$m^2$
2.	Volume	$l\times b\times h$	[ $M^0L^3T^o$ ]	$m^3$
3.	Density	$\frac{M}{V}$	[ $M^1L^{-3}T^0$ ]	$kg/m^3$
4.	Specific Gravity	$\frac{Density of Substance}{Density of Water}$	[ $M^0L^0T^0$ ]	No units
5.	Frequency	$\frac{no of vibrations}{Time}$	[ $M^0L^0T^{-1}$ ]	hertz
6.	Angle	$\frac{Arc}{radius}$	$M^0L^oT^o$	No units
7.	Velocity	$\frac{Displacement}{time}$	$M^0L^1T^{-1}$	m/sec
8.	Speed	$\frac{Distance}{time}$	$M^0L^1T^{-1}$	m/sec
9.	Areal velocity	$\frac{Area}{time}$	$M^0L^2T^{-1}$	$m^2sec^{-1}$
10.	Acceleration	$\frac{Change in velocity }{time}$	$M^0L^1T^{-2}$	$m/sec^2$
11.	Linear momentum	$M\times V$	$M^1L^1T^{-1}$	kg m/sec
12.	Force	$mass\times acceleration$	$M^1L^1T^{-2}$	kg-m/ $sec^2$ or Newton
13.	Weight	w=mg	$M^1L^1T^{-2}$	kg-m/ $sec^2$ or Newton
14.	Moment of force/Torque/Couple	$Force\times arm$	$M^1L^2T^{-2}$	kg $m^2sec^{-2}$
15.	Impulse	$Force\times time$	$M^1L^1T^{-1}$	kg m/sec or Ns
16.	Pressure	$\frac{Force}{Area}$	$M^1L^{-1}T^{-2}$	N/ $m^2$ or Pa
17.	Work	$Force\times Distance$	$M^1L^2T^{-2}$	Nm or Joule
18.	Kinetic Energy	$\frac{1}{2} mv^2$	$M^1L^2T^{-2}$	joule
19.	Potential Energy	mgh	$M^1L^2T^{-2}$	joule
20.	Gravitational constant	$\frac{Force\times (Length)^2}{(mass)^2}$	$M^{-1}L^3T^{-2}$	$kg^{-1}m^3sec^{-2}$
21.	Gravitational field strength	$\frac{Force}{mass}$	$M^0L^1T^{-2}$	$N kg^{-1}$
22.	Gravitational Potential	$\frac{Work}{mass}$	$M^0L^2T^{-2}$	$J kg^{-1}$
23.	Force constant (k)	$\frac{F}{L}$	$M^1L^0T^{-2}$	$N m^{-1}$
24.	Power	$\frac{Work}{time}$	$M^1L^2T^{-3}$	W or J/sec
25.	Moment of Inertia ( I )	$Mass\times Distance^2$	$M^1L^2T^{0}$	kg $m^2$
26.	Stress	$\frac{Force}{Area}$	$M^1L^{-1}T^{-2}$	N/ $m^2$ or Pa
27.	Strain	$\frac{Change in length}{Origional length}$	$M^0L^0T^0$	No units
28.	Modulus of Elasticity	$\frac{Stress}{Strain}$	$M^1L^{-1}T^{-2}$	N/ $m^2$ or Pa
29.	Poission’s Ratio	σ = $\frac{Y}{2n}$ -1	$M^0L^0T^0$	No units
30.	Velocity gradient	$\frac{Change in velocity}{Distance}$	$M^0L^0T^{-1}$	$sec^{-1}$
31.	Coefficient of dynamic viscosity	$\frac{Tangential stress}{Velocity Gradient}$	$M^1L^{-1}T^{-1}$	kg $m^{-1}sec^{-1}$ (or) N-sec/$latex \m^2$ (or)pascal-sec (or)poiseuille
32.	Surface Tension	$\frac{Force}{Length}$	$M^1L^0T^{-2}$	$kg sec^2$ ,N/m
33.	Angular displacement ( $\theta$ )	$\frac{Arc}{radius}$	$M^0L^oT^o$	no Units
34.	Angular velocity(ω)	$\frac{Angular displacement}{Time}$	$M^0L^oT^{-1}$	rad/sec
35.	Angular acceleration(α)	$\frac{Change in angular velocity}{Time}$	$M^0L^oT^{-2}$	rad/ $sec^{-2}$
36.	Angular momentum	Iω	$ML^2T^{-1}$	$kg-m^2 sec^{-1}$
37.	Angular Impulse	Iω	$ML^2T^{-1}$	$kg-m^2 sec^{-1}$
38.	Temperature		$\theta$ or K	kelvin or degree Celsius
39.	Coefficient of linear expansion(α)	$\frac{l_2-l_1}{l_1\times Temp(t_2-t_1)}$	$M^0L^0T^0K^{-1}$	/kelvin
40.	Specific heat	$\frac{Energy}{Mass\times Temp}$	$M^0L^2T^{-2}K^{-1}$
41.	Latent heat	$\frac{Energy}{Mass}$	$M^0L^2T^{-2}$	$joule-kg^{-1}$
42.	Entropy	$\frac{Q}\theta$	$M^1L^2T^{-2}K^{-1}$	$J K^{-1}$
43.	Thermal capacity	$\frac{H}\theta$	$M^1L^2T^{-2}K^{-1}$	$J K^{-1}$
44.	Gas constant	$\frac{PV}{m T}$	$M^0L^2T^{-2}K^{-1}$	$joule-K^{-1}$
45.	coefficient of thermal conductivity	$\frac{Qd}{A(\theta_2-\Theta_1)t}$	$M^1L^1T^{-3}K^{-1}$	$W m^{-1}K^{-1}$
46.	Pole strength	$Ampere\times meter$	$M^0L^1T^0I$	Am
47.	Magnetic Moment		$M^0L^2T^0I^1$	$Amp-m^2$
48.	Magnetic flux $\phi$		$ML^2T^{-2}I^{-1}$	weber ; $T-m^{2}$ ;J/Amp
49.	Magnetic field,magnetic flux density (B)		$MT^{-2}I^{-1}$	Tesla; $J/A-m^{2}$
50.	Permeability of free space	$\frac{\mu}{\mu_r}$	$MLT^{-2}I^{-2}$	$NA^{-2}$
51.	Magnetic susceptibilty also called volumetric or bulk susceptibility χ_m	χ_m = μ_r − 1	$M^0L^oT^o$	no units
52.	Electric Charge	$I\times T$	$M^0L^0T^1I^1$	Amp sec , coul
53.	Electric potential	$\frac{Work}{Charge}$	$M^1L^2T^{-3}I^{-1}$	Volt
54.	E.M.F	$\frac{Work}{Charge}$	$M^1L^2T^{-3}I^{-1}$	Volt
55.	Electric Capacity	$\frac{q}{V}$	$M^{-1}L^{-2}T^4I^2$	Farad
56.	Electric Resistance	$\frac{V}{i}$	$M^1L^2T^{-3}I^{-2}$	Ohm (Ω) or volt/amp
57.	Resistivity $\rho$	$\frac{R A}{L}$	$M^1L^3T^{-3}I^{-1}$	Ohm mt (Ω-m)
58.	Conductivity $\sigma$	1/ $\rho$	$M^{-1}L^{-3}T^3I$	Siemens/m
59.	Permittivity $\varepsilon$	$\varepsilon = \varepsilon_r \varepsilon_0 = (1+\chi)\varepsilon_0$	$M^{-1}L^{-3}T^4I^2$	farad/m
60.	Electric conductance	$\frac{1}{R}$	$M^{-1}L^{-2}T^3I^2$	Siemens (or) mhos
61.	Electric power	$V\times I$	$M^1L^2T^{-3}I^{-1}$	Watt
62.	Electrical Impedance(Z)	$\frac{V}{i}$	$M^1L^2T^{-3}I^{-2}$	Ohm (Ω) or volt/amp
63.	Electrical admittance	1/Z(Reciprocal of electric impedance)	$M^{-1}L^{-2}T^3I^3$	Siemens (or) mhos
64.	Self Inductance(L)	$\displaystyle v=L\frac{di}{dt}$	$ML^2T^{-2}I{-2}$	weber/amp or Henry
65.	Boltzmann’s constant	$\frac{Energy}{Temp}$	$M^1L^2T^{-2}K^{-1}$	J/kelvin
66.	Stefan’s constant	$\frac{E}{A\theta^4}$	$M^1L^0T^3K^{-4}$	$W m^{-2}K^{-4}$
67.	Co-efficient of friction $\mu$	$\mu$ = $\frac{F}{N}$ ,N=Normal reaction	dimension less scalar	no units
68.	Dielectric constant $\varepsilon_r$	It is also called relative permittivity	dimension less	no units
69.	Planck’s constant	$E=h\nu$	$ML^2T^{-1}$	J.sec (or) eV.sec
70.	Refractive index	μ	$M^0L^oT^o$	no units
71.	Focal length(f)	Distance between center of the lens(mirror) to its focus	L	meter
72.	Power of a lens (P)	The reciprocal of the focal length of a lens in meters is called power of a lens; p=1/f	$L^{-1}$	diaptors
73.	Wave number	No.of waves/distance	$L^{-1}$	$m^{-1}$
74.	Wave length	Length of a wave	L	meter

General Physics> units ,dimensions,scalars,vectors...

i want each and every formula in units ,dimensions,scalars ,vectors,one dimensional,two dimensional,3 dimensional motion,length,mass,time,units,dimensions,scalars,vectors

greeshma priyanka , 13 Years ago

Karan Malhotra

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. Because of the rotation of the earth, a plumb bob may not hang exactly along the direction of
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S.No	Fundamental Physical Quantity	Formula	Dimensional Formula	S.I Unit of physical quantity
1.	Mass	Amount of matter in the object	M	kg
2.	Length		L	meter
3.	Time		T	sec
4.	Electric current		I or A	ampere
5.	Amount of substance		N	mole(mol)
6.	Luminous intensity		J	candela(cd)
7.	Temperature		K or $\theta$	Kelvin

General Physics> units ,dimensions,scalars,vectors...

i want each and every formula in units ,dimensions,scalars ,vectors,one dimensional,two dimensional,3 dimensional motion,length,mass,time,units,dimensions,scalars,vectors

greeshma priyanka , 13 Years ago

Karan Malhotra

LIVE ONLINE CLASSES

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