SI Units and Dimensional Analysis
Covers SI units, other unit systems (CGS, MKS, FPS), dimensional formulas, unit conversions, and derived quantities in physics
Questions
Which of the following systems of units is not based on units of mass, length and time alone ?
- SI
- MKS
- CGS
- FPS
$1 N = Z kgf$ (approx.), then what is the value of $Z$?
- 0.1
- 1
- 10
- 0
What is the C.G.S. unit of force?
- N
- N.m
- dyne
- dyne.cm
What is the ratio of CGS to MKS unit of acceleration?
- $\dfrac{m}{cm}$
- $\dfrac{m}{s}$
- $\dfrac{cm}{s}$
- $\dfrac{cm}{m}$
The prefix used to represent $\displaystyle { 10 }^{ -2 }$ is called
- Milli
- Centi
- Kilo
- Deci
1 nano metre (1 nm) is equal to
- $\displaystyle { 10 }^{ -7 }$m
- $\displaystyle { 10 }^{ -9 }$m
- $\displaystyle { 10 }^{ 9 }$m
- None of these
SI unit of energy is joule .
- True
- False
The dimensional formula for magnetic flux is:
- $(ML^2T^{-2}A^{-1})$
- $(ML^3T^{-2}A^{-2})$
- $(M^0L^{-2}T^{2}A^{-2})$
- $(ML^2T^{-1}A^{2})$
The SI unit of gravitational potential is :
- Joule/kg
- Joule$^2$/kg
- kg/Joule
- Joule/kg$^2 $
Siemen is the SI unit of
- resistivity
- resistance
- conductivity
- conductance
Which of the following unit is not a fundamental unit:
- Meter
- Litre
- Second
- Kilogram
The SI unit of $ \dfrac{1}{2 \pi \sqrt{LC}}$ is equivalent to that of :
- time period
- frequency
- wavelength
- wave number
The SI unit of coefficient of mutual inductance of a coil is
- henry
- volt
- farad
- weber
The S.I. unit of pole strength is
- $Am^2$
- $Am$
- $Am^{-1}$
- $Am^{-2}$
Rate of energy dissipation is measured in
- Watt
- Joule
- Weber
- Joule / coulomb
The units of fundamental physical quantities are known as ________ units.
- Derived
- Absolute
- Supreme
- Fundamental
Which of the following does not has fundamental unit?
- Mass
- Time
- Force
- Electric current
Light year is a measurement of
- Speed of aeroplanes
- Speed of light
- Stellar distances
- Speed of rockets
Write S.I. unit of charge
- C
- A
- N m$^2$
- None of the above
The quantity represented by the product of "Resistance and inductance" is
- mass
- length
- time
- none
SI unit of moment of couple is ____.
- $N m$
- $dyne \ cm$
- $N m^{-2}$
- none of the above
The dimensions of ratio of magnetic flux $(\phi)$ and permeability $(u)$ are:
- $[M^0 L^1 A^1 T^0]$
- $[M^0 L^{-3} T^0 A^1]$
- $[M^0 L^{-1} T^1 A^{-1}]$
- $[M^0 L^2 T^0 A^1]$
The solid angle subtended at any point inside the surface due to small area ds is given by
- $r^2ds \cos \theta$
- $\dfrac{ds \cos \theta }{r^2}$
- $\dfrac{ds\cos \theta }{r}$
- $\dfrac{r^2}{ds \cos \theta}$
Unit of density and relative density are same.
- True
- False
Hertz is the unit of
- wavelength
- amplitude
- frequency
- None of these
The SI unit of electron mobility is :
- ${M^2}{S^{ - 1}}V - 1$
- $=m^2 s^{-1}V^{-1}$
- $m{s^{ - 1}}V$
- ${m^2}{s^{ - 2}}V$
The dimensional formula of a physical quantity is $\displaystyle { M }^{ 1 }{ L }^{ 2 }{ T }^{ 3 }{ I }^{ -1 }$ .What is its SI unit?
- $\displaystyle { kg\quad m }^{ 2 }{ s }^{ 3 }{ A }^{ -1 }$
- $\displaystyle { kg\quad m }^{ 2 }{ s }^{ 2 }{ A }$
- $\displaystyle { kg\quad ms }^{ -3 }{ A }^{ 2 }$
- $\displaystyle { kg}^{2}{ m }^{ 2 }{ s }^{ 3}{ A }^{ -1 }$
Find the unit of the following derived quantities:
(a) Force [Hint: Force = Mass $\times$ acceleration]
(b) Pressure $\left[Hint: Pressure =\frac{force}{Area}\right]$
- $kg\,m\,s^{-2}$ and $kg\,m^{-1}\,s^{-2}$
- $kg\,m\,s^{-1}$ and $Kg\,m^{-2}\,s^{-1}$
- $ N$ and $ Pa$
- None of these
The S.I. unit of magnetic pole strength is_______
- $A.{ m }^{ 2 }$
- $A.{ m }^{ -1 }$
- A.m
- $A/{ m }^{ 2 }$