Download physical quantities dimensions

MCAT
PHYSICAL QUANTITIES
DIMENSIONS
YASIR
MUKHTAR
MCAT
PHYSICAL QUANTITIES DIMENSIONS
(DIMENSION)
S.No
Derived Physical
Quantity
1.
2.
3.
4.
Area
Volume
Density
Specific Gravity
5.
6.
7.
8.
9.
10.
11.
12.
Frequency
Angle
Velocity
Speed
Areal velocity
Acceleration
Linear
momentum
Force
13.
Weight
14.
15.
Moment of
force/Torque/Cou
ple
Impulse
16.
17.
18.
Pressure
Work
Kinetic Energy
19.
20.
23.
Potential Energy
Gravitational
constant
Gravitational field
strength
Gravitational
Potential
Force constant (k)
24.
Power
25.
26.
Moment of Inertia
(I)
Stress
27.
Strain
28.
Modulus of
Elasticity
Poission’s Ratio
Velocity gradient
21.
22.
29.
30.
FORMULA
𝐴 = 𝜋𝑟 2 or (Lenght×Length)
(Lenght×Length×Length)
(Mass / Volume)
(Density of substance / Density of
water)
(1 / Time Period)
Dimensional
Formula
[
[
[
[
S.I Unit of
physical
quantity
]
]
]
]
[
No units
]

(Displacement / Time)
(Distance/Time)
(Area/Time)
(Change in velocity/Time)
(P = Mass ×Velocity)
(F=Mass×Acceleration)
(F= w =mg)
(Force×Distance)
(Force×Time)
(Force/Area)
(W = F×d)
mgh
(F×R×R / m×m)
Hertz
No units
m/sec
m/sec
kg m/sec
kg-m/
Newton
kg-m/
Newton
kg
or
or
kg m/sec or
Ns
N/
or Pa
Nm or Joule
Joule
Joule
(Force /Mass)
(Work / Mass)
F/L
Work / time
W or J/sec
Ir2
kg
F/A
N/
D[L]/ L
Stress / strain
σ = -1
Change in velocity/ distance
BY YASIR MUKHTAR
or Pa
No units
N/
or Pa
No units
Page 2
PHYSICAL QUANTITIES DIMENSIONS
=F /Vt×r
MCAT
31.
Coefficient of
dynamic viscosity
32.
Surface Tension
Force / lenght
33.
Angular
displacement ( )
Angular
velocity(ω)
Angular
acceleration(α)
Angular
momentum
Angular Impulse
Temperature
Arc / radius
no Units
Angular displacement/time
rad/sec
34.
35.
36.
37.
38.
Change in angular velocity/time
Iω
or K
Rt -Ro / Rot
kelvin or
degree Celsius
/Kelvin
Energy/ mass× temperature
Joule Kg -1 K-1
40.
41.
42.
Latent heat
Entropy
Energy / mass
Heat(Q) / temperature
43.
Thermal capacity
Heat(Q) / temperature
44.
Gas constant
R=PV / nT
45.
coefficient of
thermal
conductivity
Pole strength
Magnetic
Moment
Magnetic flux
Ampere × meter
46.
47.
48.
rad/
Iω
Coefficient of
linear
expansion(α)
Specific heat
39.
kg
(or)pascal-sec
(or)poiseuille
,N/m
Am
=B.A
weber ;
B= /A
;J/Amp
Tesla;
χm = μr − 1
no units
52.
Magnetic
field,magnetic
flux density (B)
Permeability of
free space
Magnetic
susceptibilty also
called volumetric
or bulk
susceptibility χm
Electric Charge
53.
Electric potential
(power/current)
Amp sec ,
coulmb
Volt
54.
E.M.F
(power/current)
Volt
55.
56.
Electric Capacity
Electric
Resistance
(Charge/voltage)
Power/current2
Farad
Ohm (Ω) or
volt/amp
49.
50.
51.
BY YASIR MUKHTAR
Page 3
PHYSICAL QUANTITIES DIMENSIONS
57.
Resistivity
58.
59.
Conductivity
Permittivity
60.
Electric
conductance
Electric power
Electrical
Impedance(Z)
Electrical
admittance
Self
Inductance(L)
61.
62.
63.
64.
65.
66.
67.
68.
Ohm mt (Ωm)
Siemens/m
farad/m
1/
Siemens (or)
mhos
Watt
Ohm (Ω) or
volt/amp
Siemens (or)
mhos
weber/amp or
Henry
1/Z(Reciprocal of electric
impedance)
Boltzmann’s
constant
Stefan’s constant
Co-efficient of
friction
Dielectric
constant
69.
Planck’s constant
70.
71.
Refractive index
Focal length(f)
72.
Power of a lens
(P)
73.
74.
Wave number
Wave length
MCAT
J/kelvin
= ,N=Normal reaction
It is also called relative
permittivity
dimension less
scalar
dimension less
no units
no
units
J.sec (or)
eV.sec
no units
meter
μ
Distance between center of the
L
lens(mirror) to its focus
The reciprocal of the focal length
of a lens in meters is called power
of a lens; p=1/f
No.of waves/distance
Length of a wave
L
diaptors
meter
TABLE OF PHYSICAL QUANTITIES HAVING SAME DIMENSIONS
S/NO
1
2
3
4
DIMENSION
11
PHYSICAL QUANTITY
Velocity, Speed
Linear momentum, Impulse
Force, Weight
Torque, Work, Kinetic Energy,
Potential Energy, Couple, Moment of
force
Pressure, Stress, Modulus of Elasticity
Gravitational strength, Acceleration
Angular momentum, Angular impulse
Specific heat, General Gas constant
Entropy, Thermal capacity
Electric Potential, E.M.F , Electrical
power
Focal length, Wave length
12
Power of lens, Wave number
5
6
7
8
9
10
0
-1
UNITS
M LT
MLT -1
MLT -2
M L 2T -2
m / sec
Kg m/sec OR N/sec
Kg m/sec 2OR Newton
Kg m 2/sec 2, Joule,
Nm
ML -1T -2
M0LT -2
ML2T -1
L2T -2K -1
ML2T -2K -1
ML2T -3I -1
Pa , N/m2
m/sec2 , N/ Kg
Kg m 2/sec
Joule K -1Kg -1
J/K
Volt, Watt
L
Meter
L-1
Diaptors , m -1
BY YASIR MUKHTAR
Page 4
PHYSICAL QUANTITIES DIMENSIONS
BY YASIR MUKHTAR
MCAT
Page 5