Target RRB JE CBT 1-Important Units And Theirs Dimension
According to analysis of RRB exam recently held for various post,1-2 question in every shift asked from units and dimensions in general science so here in today target RRB JE CBT 1 we are providing important units and dimensions,Expected from these one question surely will come.
PDF for this have given at last aspirant can download it.
All physical quantities are said to be described by its dimensions.
There are 7 (seven) fundamental quantities, hence, 7 (seven) fundamental dimensions.
| Derived quantity | Symbol | SI derived unit | Dimension | Scalar/Vector |
| Absement | A | m s | L T | vector |
| Absorbed dose rate | Gy s⁻¹ | L² T⁻³ | ||
| Acceleration | a→ | m s⁻² | L T⁻² | vector |
| Angular acceleration | α | rad s⁻² | T⁻² | |
| Angular momentum | L | kg m² s⁻¹ | M L² T⁻¹ | vector |
| Angular speed (or angular velocity) | ω | rad s⁻¹ | T⁻¹ | scalar |
| Area | A | m² | L² | scalar |
| Area density | ρA | kg m⁻² | M L⁻² | |
| Capacitance | C | farad (F = A² s⁴ kg⁻¹ m⁻²) | M⁻¹ L⁻² T⁴ I² | scalar |
| Catalytic activity | katal (kat = mol s⁻¹) | T⁻¹ N | ||
| Catalytic activity concentration | kat m⁻³ | L⁻³ T⁻¹ N | ||
| Chemical potential | μ | J mol⁻¹ | M L² T⁻² N⁻¹ | |
| Crackle | c→ | m s⁻⁵ | L T⁻⁵ | vector |
| Current density | J → | A m⁻² | L⁻² I | vector |
| Dose equivalent | H | sievert (Sv = m² s⁻²) | L² T⁻² | |
| Dynamic viscosity | η | Pa s | M L⁻¹ T⁻¹ | |
| Electric charge | Q | coulomb (C = A s) | T I | |
| Electric charge density | ρQ | C m⁻³ | L⁻³ T I | |
| Electric displacement | D | C m⁻² | L⁻² T I | vector |
| Electric field strength | E→ | V m⁻¹ | M L T⁻³ I⁻¹ | vector |
| Electrical conductance | G | siemens (S = A² s³ kg⁻¹ m⁻²) | M⁻¹ L⁻² T⁻³ I² | scalar |
| Electrical conductivity | σ | S m⁻¹ | M⁻¹ L⁻³ T⁻³ I² | scalar |
| Electric potential | V | volt (V = kg m² A⁻¹ s⁻³) | M L² T⁻³ I⁻¹ | scalar |
| Electrical resistance | R | ohm (Ω = kg m² A⁻² s⁻³) | M L² T⁻³ I⁻² | scalar |
| Electrical resistivity | ρ | ohm metre (Ω⋅m = kg m³ A⁻² s⁻³) | M L³ T⁻³ I⁻² | scalar |
| Energy | E | joule (J = kg m² s⁻²) | M L² T⁻² | scalar |
| Energy density | ρE | J m⁻³ | M L⁻¹ T⁻² | |
| Entropy | S | J K⁻¹ | M L² T⁻² Θ⁻¹ | scalar |
| Force | F→ | newton (N = kg m s⁻²) | M L T⁻² | vector |
| Frequency | f | hertz (Hz = s⁻¹) | T⁻¹ | scalar |
| Fuel efficiency | m m⁻³ ( = m/m³) | L⁻² | scalar | |
| Half-life | t1/2 | s | T | |
| Heat | Q | joule (J) | M L² T⁻² | |
| Heat capacity | Cp | J K⁻¹ | M L² T⁻² Θ⁻¹ | |
| Heat flux density | ϕQ | W m⁻² | M T⁻³ | |
| Illuminance | Ev | lux (lx = cd sr m⁻²) | L⁻² J | |
| Impedance | Z | ohm (Ω = kg m² A⁻² s⁻³) | M L² T⁻³ I⁻² | scalar |
| Impulse | J | newton second (N⋅s = kg m s⁻¹) | M L T⁻¹ | vector |
| Inductance | L | henry (H = kg m² A⁻² s⁻²) | M L² T⁻² I⁻² | scalar |
| Irradiance | E | W m⁻² | M T⁻³ | |
| Intensity | I | W m⁻² | M T⁻³ | |
| Jerk | j→ | m s⁻³ | L T⁻³ | vector |
| Jounce (or snap) | s→ | m s⁻⁴ | L T⁻⁴ | vector |
| Kinematic viscosity | v→ | m² s⁻¹ | L² T⁻¹ | scalar |
| Linear density | ρl | kg m⁻¹ | M L⁻¹ | |
| Luminous flux (or luminous power) | F | lumen (lm = cd sr) | J | |
| Mach number (or mach) | M | unitless | 1 | |
| Magnetic field strength | H | A m⁻¹ | L⁻¹ I | vector |
| Magnetic flux | Φ | weber (Wb = kg m² A⁻¹ s⁻²) | M L² T⁻² I⁻¹ | scalar |
| Magnetic flux density | B | tesla (T = kg A⁻¹ s⁻²) | M T⁻² I−1 | |
| Magnetization | M | A m⁻¹ | L⁻¹ I | vector |
| Mass fraction | x | kg/kg | 1 | |
| (Mass) Density (or volume density) | ρ | kg m⁻³ | M L⁻³ | |
| Mean lifetime | τ | s | T | |
| Molar concentration | C | mol m⁻³ | L⁻³ N | |
| Molar energy | J mol⁻¹ | M L² T⁻² N⁻¹ | ||
| Molar entropy | J K⁻¹ mol⁻¹ | M L² T⁻²Θ⁻¹ N⁻¹ | ||
| Molar heat capacity | c | J K⁻¹ mol⁻¹ | M L² T⁻² Θ⁻¹ N⁻¹ | |
| Moment of inertia | I | kg m² | M L² | scalar |
| Momentum | p→ | N s | M L T⁻¹ | vector |
| Permeability | μ | H m⁻¹ | M L T⁻² I⁻² | |
| Permittivity | ε | F m⁻¹ | M⁻¹ L⁻³ T⁴ I² | |
| Plane angle | θ | radian (rad) | 1 | |
| Power | P | watt (W) | M L² T⁻³ | scalar |
| Pressure | p | pascal (Pa = kg m⁻¹ s⁻²) | M L⁻¹ T⁻² | scalar |
| Pop | p→ | m s⁻⁶ | L T⁻⁶ | vector |
| (Radioactive) Activity | A | becquerel (Bq = s⁻¹) | T⁻¹ | scalar |
| (Radioactive) Dose | D | gray (Gy = m² s⁻²) | L² T⁻² | |
| Radiance | L | W m⁻² sr⁻¹ | M T⁻³ | |
| Radiant intensity | I | W sr⁻¹ | M L² T⁻³ | scalar |
| Reaction rate | r | mol m⁻³ s⁻¹ | N L⁻³T⁻¹ | scalar |
| Refractive index | n | unitless | 1 | scalar |
| Reluctance | R | H⁻¹ | M⁻¹ L⁻² T² I² | scalar |
| Solid angle | Ω | steradian (sr) | 1 | |
| Speed | v | m s⁻¹ | L T⁻¹ | scalar |
| Specific energy | J kg⁻¹ | L² T⁻² | ||
| Specific heat capacity | c | J kg⁻¹ K⁻¹ | L² T⁻² Θ⁻¹ | |
| Specific volume | v | m⁻³ kg⁻¹ | M⁻¹ L⁻³ | |
| Spin | S | kg m² s⁻¹ | M L² T⁻¹ | |
| Strain | ε | unitless | 1 | |
| Stress | σ | Pa | M L⁻¹ T⁻² | |
| Surface tension | γ | N m⁻¹ or J m⁻² | M T⁻² | |
| Temperature gradient | ∇ T | K m⁻¹ | Θ L⁻¹ | vector |
| Thermal conductivity | k | W m⁻¹ K⁻¹ | M L T⁻³ Θ⁻¹ | |
| Torque | τ | newton metre (N m) | M L² T⁻² | vector |
| Velocity | v→ | m s⁻¹ | L T⁻¹ | vector |
| Volume | V | m³ | L³ | scalar |
| Volumetric flow | Q | m³ s⁻¹ | L³ T⁻¹ | scalar |
| Wavelength | λ | m | L | |
| Wave number | k | m⁻¹ | L⁻¹ | scalar |
| Wave vector | k→ | m⁻¹ with direction | L⁻¹ | vector |
| Weight | w | newton (N = kg m s⁻²) | M L T⁻² | vector |
| Work | W | joule (J = kg m² s⁻²) | M L² T⁻² | scalar |
| Young’s modulus | E | pascal (Pa = kg m⁻¹ s⁻²) | M L⁻¹ T⁻² | scalar |
| Base quantity | Symbol | SI base unit | Dimension | Scalar/Vector |
| Length | l | metre (m) | L | |
| Mass | m | kilogram (kg) | M | scalar |
| Time | t | second (s) | T | scalar |
| Electric current | I | ampere (A) | I | |
| Temperature | T | kelvin (K) | Θ | scalar |
| Amount of substance | n | mole (mol) | N | scalar |
| Luminous intensity | L | candela (cd) | J | scalar |
