SI Units and Dimensional Analysis

Covers SI units, other unit systems (CGS, MKS, FPS), dimensional formulas, unit conversions, and derived quantities in physics

29 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

Which of the following systems of units is not based on units of mass, length and time alone ?

  1. SI
  2. MKS
  3. CGS
  4. FPS
Question 2 Multiple Choice (Single Answer)

$1 N = Z  kgf$ (approx.), then what is the value of $Z$?

  1. 0.1
  2. 1
  3. 10
  4. 0
Question 3 Multiple Choice (Single Answer)

What is the C.G.S. unit of force? 

  1. N
  2. N.m
  3. dyne
  4. dyne.cm
Question 4 Multiple Choice (Single Answer)

What is the ratio of CGS to MKS unit of acceleration?

  1. $\dfrac{m}{cm}$
  2. $\dfrac{m}{s}$
  3. $\dfrac{cm}{s}$
  4. $\dfrac{cm}{m}$
Question 5 Multiple Choice (Single Answer)

The prefix used to represent $\displaystyle { 10 }^{ -2 }$ is called

  1. Milli
  2. Centi
  3. Kilo
  4. Deci
Question 6 Multiple Choice (Single Answer)

1 nano metre (1 nm) is equal to

  1. $\displaystyle { 10 }^{ -7 }$m
  2. $\displaystyle { 10 }^{ -9 }$m
  3. $\displaystyle { 10 }^{ 9 }$m
  4. None of these
Question 7 Multiple Choice (Single Answer)

SI unit of energy is joule .

  1. True
  2. False
Question 8 Multiple Choice (Single Answer)

The dimensional formula for magnetic flux is:

  1. $(ML^2T^{-2}A^{-1})$
  2. $(ML^3T^{-2}A^{-2})$
  3. $(M^0L^{-2}T^{2}A^{-2})$
  4. $(ML^2T^{-1}A^{2})$
Question 9 Multiple Choice (Single Answer)

The SI unit of gravitational potential is :

  1. Joule/kg
  2. Joule$^2$/kg
  3. kg/Joule
  4. Joule/kg$^2 $
Question 10 Multiple Choice (Single Answer)

Siemen is the SI unit of

  1. resistivity
  2. resistance
  3. conductivity
  4. conductance
Question 11 Multiple Choice (Single Answer)

Which of the following unit is not a fundamental unit:

  1. Meter
  2. Litre
  3. Second
  4. Kilogram
Question 12 Multiple Choice (Single Answer)

The SI unit of $ \dfrac{1}{2 \pi \sqrt{LC}}$ is equivalent to that of :

  1. time period
  2. frequency
  3. wavelength
  4. wave number
Question 13 Multiple Choice (Single Answer)

The SI unit of coefficient of mutual inductance of a coil is

  1. henry
  2. volt
  3. farad
  4. weber
Question 14 Multiple Choice (Single Answer)

The S.I. unit of pole strength is

  1. $Am^2$
  2. $Am$
  3. $Am^{-1}$
  4. $Am^{-2}$
Question 15 Multiple Choice (Single Answer)

Rate of energy dissipation is measured in 

  1. Watt
  2. Joule
  3. Weber
  4. Joule / coulomb
Question 16 Multiple Choice (Single Answer)

The units of fundamental physical quantities are known as ________ units.

  1. Derived
  2. Absolute
  3. Supreme
  4. Fundamental
Question 17 Multiple Choice (Single Answer)

Which of the following does not has fundamental unit?

  1. Mass
  2. Time
  3. Force
  4. Electric current
Question 18 Multiple Choice (Single Answer)

Light year is a measurement of 

  1. Speed of aeroplanes
  2. Speed of light
  3. Stellar distances
  4. Speed of rockets
Question 19 Multiple Choice (Single Answer)

Write S.I. unit of charge

  1. C
  2. A
  3. N m$^2$
  4. None of the above
Question 20 Multiple Choice (Single Answer)

The quantity represented by the product of "Resistance and inductance" is

  1. mass
  2. length
  3. time
  4. none
Question 21 Multiple Choice (Single Answer)

SI unit of moment of couple is ____.

  1. $N m$
  2. $dyne \ cm$
  3. $N m^{-2}$
  4. none of the above
Question 22 Multiple Choice (Single Answer)

The dimensions of ratio of magnetic flux $(\phi)$ and permeability $(u)$ are:

  1. $[M^0 L^1 A^1 T^0]$
  2. $[M^0 L^{-3} T^0 A^1]$
  3. $[M^0 L^{-1} T^1 A^{-1}]$
  4. $[M^0 L^2 T^0 A^1]$
Question 23 Multiple Choice (Single Answer)

The solid angle subtended at any point inside the surface due to small area ds is given by 

  1. $r^2ds \cos \theta$
  2. $\dfrac{ds \cos \theta }{r^2}$
  3. $\dfrac{ds\cos \theta }{r}$
  4. $\dfrac{r^2}{ds \cos \theta}$
Question 24 Multiple Choice (Single Answer)

Unit of density and relative density are same.

  1. True
  2. False
Question 25 Multiple Choice (Single Answer)

Hertz is the unit of

  1. wavelength
  2. amplitude
  3. frequency
  4. None of these
Question 26 Multiple Choice (Single Answer)

The SI unit of electron mobility is  :

  1. ${M^2}{S^{ - 1}}V - 1$
  2. $=m^2 s^{-1}V^{-1}$
  3. $m{s^{ - 1}}V$
  4. ${m^2}{s^{ - 2}}V$
Question 27 Multiple Choice (Single Answer)

The dimensional formula of a physical quantity is $\displaystyle { M }^{ 1 }{ L }^{ 2 }{ T }^{ 3 }{ I }^{ -1 }$ .What is its SI unit?

  1. $\displaystyle { kg\quad m }^{ 2 }{ s }^{ 3 }{ A }^{ -1 }$
  2. $\displaystyle { kg\quad m }^{ 2 }{ s }^{ 2 }{ A }$
  3. $\displaystyle { kg\quad ms }^{ -3 }{ A }^{ 2 }$
  4. $\displaystyle { kg}^{2}{ m }^{ 2 }{ s }^{ 3}{ A }^{ -1 }$
Question 28 Multiple Choice (Multiple Answers)

Find the unit of the following derived quantities: 
(a) Force [Hint: Force = Mass $\times$ acceleration]
(b) Pressure $\left[Hint: Pressure =\frac{force}{Area}\right]$

  1. $kg\,m\,s^{-2}$ and $kg\,m^{-1}\,s^{-2}$
  2. $kg\,m\,s^{-1}$ and $Kg\,m^{-2}\,s^{-1}$
  3. $ N$ and $ Pa$
  4. None of these
Question 29 Multiple Choice (Single Answer)

The S.I. unit of magnetic pole strength is_______

  1. $A.{ m }^{ 2 }$
  2. $A.{ m }^{ -1 }$
  3. A.m
  4. $A/{ m }^{ 2 }$