Interview Questions.

Question 1. Define The Term ‘dimension’?

Answer :

The time period ‘dimension’ is used to refer to the bodily nature of a amount and the kind of unit used to specify it. Mathematically dimensions of a physical quantity are the powers to which the fundamental quantities should be raised.

Question 2. What Are Dimensional Constants?

Answer :

Constants which own dimensions are called dimensional constants.

Example: Planck’ Constant.

Physics Interview Questions
Question three. What Are Dimensional Variables?

Answer :

Those physical portions which own dimensions but do now not have a set value are called dimensional variables.

Example: Displacement, Force, pace and many others.

Question 4. What Are Dimensionless Quantities?

Answer :

Physical portions which do no longer possess dimensions are called dimensionless quantities.

Example: Angle, specific gravity, stress. In widespread, physical quantity which is a ratio of  two portions of same dimension may be dimensionless.

Question 5. Define The Principle Of Homogeneity Of Dimensions. On What Principle Is It Based?

Answer :

The principle of homogeneity of dimensions states that an equation is dimensionally accurate if the dimensions of the diverse phrases on either aspect of the equation are the same.
This precept is based totally on the fact that  portions of the same measurement only may be brought up, and the resulting amount additionally own the the identical size.

In equation X + Y = Z is legitimate if the dimensions of X, Y and Z are equal.

Unit of Measurement Interview Questions
Question 6. List The Basic Dimensions?

Answer :

Length – L
Time – T
Mass – M
Temperature – K or  θ
Current – A
Question 7. What Are The Uses (packages) Of Dimensional Analysis?

Answer :

The packages of dimensional analysis are:

To convert a physical amount from one gadget of units to every other.
To test the dimensional correctness of a given equation.Establish a relationship among different bodily quantities in an equation.
Machine Dynamics Interview Questions
Question 8. What Are The Limitations Of Dimensional Analysis?

Answer :

Limitations of Dimensional Analysis are:

It can't determine cost of dimensionless constants.
We cannot use this approach to equations regarding exponential and trigonometric features.
It can not be applied to an equation concerning greater than three bodily quantities.
It is a too now not an answer i.E.  It can take a look at only if the equation is dimensionally accurate or now not. But can not say the equation is definitely correct.
Question nine. What Do You Mean By “ Dimensions Of A Derived Unit ” ?

Answer :

We know that that the devices that depend on the essential units of mass, length and time are known as derived devices. The unit of mass, length and time are denoted via M, I and T. ( The dimensions of a derived unit may be described as the powers to which the fundamental units of mass, duration and time need to be raised that allows you to absolutely constitute it.

Gravitational Interview Questions
Question 10. What Id Dimensional Formula ?

Answer :

It is an compound expression, displaying how and which of the essential units input into the unit of a bodily quantity.

Question eleven. What Is Dimensional Equation?

Answer :

It is an expression which expresses the physical amount in phrases of a essential gadgets of mass, period and time.

Light Interview Questions
Question 12. What Are Non- Dimensional Variable?

Answer :

Physical quantities which might be variable but haven't any dimensions are called non - dimensional variable,

Example: pressure, specific gravity, angle etc.

Physics Interview Questions
Question 13. What Is Dimensional Lumber?

Answer :

It is a time period used for lumber this is finished and reduce to standerdized width and intensity specified in inches.

Question 14. What Is The Principle Of Homogeneity Of Dimensons ?

Answer :

According to this principle, the dimensions of all the phrases on the two sides of an equation must be same.Therefore in a given relation the phrases on both aspect have equal dimensions, If the relation is a correct one, however if it isn't always so, th erelation is not accurate

Question 15. What Is Random Error?

Answer :

The error which creeps in all through a dimension because of individual measuring person and the care taken by means of him inside the measuring technique is referred to as random errors. In order to minimise this mistake, measurements are repeated often.

Photon Interview Questions
Question 16. What Is Meant By Instrumental Error?

Answer :

The errors which creeps in throughout a measurement due to limit or resolution of the measuring device is called instrumental errors. 

Question 17. What Is Meant By Absolute Error In A Measurement?

Answer :

The value of the difference between the real price ( i.E. The imply )of the quantity and the individual measured price is called absolute mistakes.

Matter Interview Questions
Question 18. What Is Meant By Significant Figures ?

Answer :

It indicates the volume to which the studying are reliable.

Unit of Measurement Interview Questions
Question 19. How Many Base Units Are There In The S.I System ?

Answer :

There are best seven base gadgets and  supplementary devices.

Question 20. What Is Kinematics?

Answer :

The word kinematics is derived from the greek phrase “ Knemia ” because of this movement. Thus kinematics is the look at of motion. We look at the placement, speed, acceleration and many others. Of a body without specifyng the character of the body and the character of the forces which motive motion. In this branch we take a look at approaches to describe movement of object unbiased of causes of motion and unbiased of the character of the body.

Earthquake Interview Questions
Question 21. What Is Dynamics?

Answer :

It is dervied from the greek phrase “ dynamics ” because of this electricity. It offers with the take a look at of motion deliberating the forces which cause motion.

Question 22. What Is Statics?

Answer :

It is the study of gadgets at rest i.E. While a huge wide variety of forces performing on a body are in equilibrium.

Question 23. What Is Mechanics?

Answer :

This offers with all the topics particularly, kinematics, dynamics and statics.

Bacteria Interview Questions
Question 24. What Is Motion?

Answer :

It is the change of function of an object inside the path of time.

The body in motion is dealt with as a particle.

The motion has been classfied as :-

 Motion in a single measurement - i.E atrain walking on a railway tune.
 Motion in  dimensions - i.E motion of a stone that's thrown within the horizontal course from the pinnacle of a tower.
 Motion in 3 dimensions - i.E the movement of the molecules of a gasoline. 
Machine Dynamics Interview Questions
Question 25. Which Type Of Motions Are The Following ?

Answer :

Motion along a circle.
Motion along a curve
Both are motions in two dimensions

Question 26. What Is Meant By Negative Time And Positive Time?

Answer :

If we assign a terrible time to an occasion, it way that it occured before the event to which advantageous time was assigned.

Asia Interview Questions
Question 27. What Is Meant By Instanteous Position Of An Object?

Answer :

The role co - ordinate in a shifting body describes te particular and genuine role of the frame at any time. The role of a frame at any instantaneous is called immediately position.

Gravitational Interview Questions
Question 28. What Is Uniform Motion?

Answer :

A motion is stated to be uniform if the frame actions same distances in identical periods of time and continually in the identical route. For such a movement, the actual distance blanketed in time t is the magnitude of the displacement.

Question 29. What Is Uniform Velocity?

Answer :

If the body actions equal distances in identical durations of time and usually in the same course, then it's far stated to possess uniform velocity.

Solar System Interview Questions
Question 30. What Is Non - Uniform Motion?

Answer :

When a body travels unequal distance in equal intervals of time, the movement is stated to be non - uniform movement.

Question 31. What Is Variable Velocity?

Answer :

If a body covers unequal distances in same periods of time alongside a instantly line or if the body adjustments the direction of motion ( although it could be covering equal durations of time ) , it's miles said to procedure variable speed.

Question 32. What Is Average Velocity?

Answer :

It is the ratio of the full distance travelled to the whole time taken by using the body.

Question 33. What Is Instantaneous Velocity?

Answer :

The velocity of a body in a non - uniform motion at any instantaneous is called immediately speed. It is different from the average speed over an c language of time.

Light Interview Questions
Question 34. What Is Acceleration?

Answer :

It is the rate of alternate of speed with time.

Question 35. What Is Uniform Acceleration?

Answer :

A body is stated to be transferring with uniform acceleration, if its speed adjustments by way of identical values in equal periods of time.

Question 36. What Is Instantaneous Acceleration?

Answer :

If the movement adjustments of a body is such that its pace modifications by using unequal values in equal periods of time, then the cost of the accleration at any instant is referred to as immediate acceleration.

Photon Interview Questions
Question 37. What Is Retardation?

Answer :

If the velocity will increase, the acceleration is high-quality and if the velocity decreases, the acceleration is bad. The negative acceleration is referred to as retardation.

Question 38. What Is The Direction Of The Velocity And Acceleration When It Is Thrown Upwards ?

Answer :

Velocity is vertically upward and acceleration is vertically downwards.

Question 39. What Is The Direction Of The Velocity And Acceleration When It Is Thrown Down Wards?

Answer :

Velocity is vertically downward and acceleration is likewise vertically downwards.

Question 40. How Is The Position Time Graph Helpful In Studying The Motion Of The Body?

Answer :

With the assist of this graph, we will decide, distance travelled during any c language of time and additionally the velocity of the body at any on the spot of time.

Matter Interview Questions
Question forty one. Why We Do Not Ever Consider Rate Of Change Of Acceleration?

Answer :

It is observed that the simple legal guidelines of motion involve simplest acceleration and no longer the charge of trade of acceleration, so we by no means do not forget the rate of change of acceleration.

Question forty two. What Is Angle Of Departure Or Angle Of Projection?

Answer :

The attitude that the of projection makes with the horizontal is called angle of departure or angle of projection. Clearly perspective of projection for a horizontal projectile is zero.

Earthquake Interview Questions
Question forty three. What Is Range Of Projectile?

Answer :

The distance between the point of projection and the factor in which the trajectory meets the horizontal aircraft thru the factor of projection is referred to as its range ( horizontal ).

Question 44. What Is Horizontal Velocity Of Projectile ?

Answer :

The horizontal factor of the velocity of the body stays same at some stage in due to the fact there's no acceleration ( due to gravity ) within the horizontal path.

The vertical aspect of the veocity first of all ( i.E. At t = zero ) is zero and the vertical issue continues on growing until frame touches the ground.

Question forty five. What Is Velocity?

Answer :

Velocity is the fee of alternate of the location, same to hurry in a selected direction.

Question 46. Which Indian Physcist Worked With Albert Einstein ?

Answer :

Satyendranath Bose, who with Einstein developed a machine of statical quantum mecahnics now acknowledged sa Bose Einstein Statistics.

Question 47. What Is Escape Velocity?

Answer :

The minimal speed that a space rocket must attain to escape the earth’s gravity.

Question forty eight. Which Are The Basic Forces?

Answer :

The simple forces are gravity, power, magnetism and  forms of nuclear forces called susceptible and robust forces.

Question 49. Which Scientist Proved The Electro Weak Force They?

Answer :

Abdus Salam have become the first person from pakistan who gained a nobel prize for show this idea.

Question 50. Which Are Called Non - Contact Forces?

Answer :

Some forces are handiest produced whilst the only object touches any other. These pressure are referred to as non - contact forces.

Question 51. What Is Metastable State?

Answer :

This is a state of a device in which it's far apparently in a solid equilibrium, but if slightly distrubed the gadget adjustments to a new country of decrease strength.

Question fifty two. What Is Dimensional Analysis?

Answer :

A method used to discover a relation among diverse bodily portions. Also to calculate how a bodily quantity will depend in phrases of the powers of fundamental devices on which it intuitively relies upon.

The method is based at the prinicple that the dimensions of the fudamental portions ( M, L and T ) ought to be the equal on both sides of an equation.

Question 53. What Is Physical Quantity Of Dimesion?

Answer :

These are the powers to which the essential units must be raised, when the quantity is expressed interms of those devices.

Question 54. What Are The Main Uses Of Dimensional Equations?

Answer :

 To take a look at of correctness of equations.
 To derive the equations
 To convert one machine of gadgets into any other.
 To recapitulate essential formulae.
Question 55. (ncert): A Book With Many Printing Errors Contains Four Different Formulas For The Displacement Y Of A Particle Undergoing A Certain Periodic Motion: (a) Y = A Sin 2π T/t (b) Y = A Sin Vt (c) Y = (a/t) Sin T/a (d) Y = (a 2) (sin 2πt / T + Cos 2πt / T ) (a = Maximum Displacement Of The Particle, V = Speed Of The Particle. T = Time-length Of Motion). Rule Out The Wrong Formulas On Dimensional Grounds.

Answer :

Given,

Dimension  of a = displacement = [M0L1T0]

Dimension of v (pace) =  distance/time = [M0L1T-1]

Dimension of  t or T (term) = [M0L0T1]

Trigonometric function sine is a ratio, as a result it must be dimensionless.

(a)  y = a sin 2π t/T (correct ? )

Dimensions of RHS =  [L1] sin([T].[T-1] ) =  [M0L1T0] = LHS  (eqation is accurate).

(b) y = a sin vt  (wrong ?)

RHS =  [L1] sin([LT-1] [T1]) =  [L1] sin([L]) = wrong, when you consider that trigonometric feature must be measurement less.

(c) y = (a/T) sin t/a (incorrect ?)

RHS = [L1] sin([T].[L-1] ) = [L1] sin([TL-1] ) = incorrect, sine characteristic have to be dimensionless.

(d)  y = (a 2) (sin 2πt / T + cos 2πt / T )  (accurate ? )

RHS =  [L1] ( sin([T].[T-1] + cos([T].[T-1] ) = [L1] ( sin(M0L1T0) + cos(M0L1T0) )

= [L1]  = RHS  = equation is dimensionally correct.

Question 56. (ncert): A Famous Relation In Physics Relates ‘moving Mass’ M To The ‘rest Mass’ Mo Of A Particle In Terms Of Its Speed V And The Speed Of Light, C. (this Relation First Arose As A Consequence Of Special Relativity Due To Albert Einstein). A Boy Recalls The Relation Almost Correctly But Forgets Where To Put The Constant C. He Writes?

Answer :

Dimension of m (mass) = [M1L0T0]

Dimension of m0 (mass) = [M1L0T0]

Dimension of v (velocity) = [M0L1T-1]

∴ Dimension of v2= [M0L2T-2]

Dimension of c (pace) = [M0L1T-1]

Applying precept of homogeneity of dimensions,  [LHS] = [RHS] = [M1L0T0]

⇒ The equation (1- v2)½  have to be size much less, that's feasible if we've the expressions as:

(1 –  v2/c2) The equation after putting ‘c’

Question fifty seven. Check The Following Equation For Calculating Displacement Is Dimensionally Correct Or Not (a) X = X0 + Ut + (1/2) At2 Where, X Is Displacement At Given Time T Xo Is The Displacement At T = 0 U Is The Velocity At T = zero A Represents The Acceleration. (b) P = (ρgh)½ Where P Is The Pressure, ρ Is The Density G Is Gravitational Acceleration H Is The Height.

Answer :

(a)  x = x0 + ut + (half) at2

Applying principle of homogeneity, all the sub-expressions  of the equation must have the equal dimension and be identical to [LHS]

Dimension of  x = [M0L1T0]

Dimensions of  sub-expressions of [RHS] ought to be [M0L1T0]

⇒ Dimension of  x0 (displacement) = [M0L1T0] = [LHS]

Dimension of ut  = speed x time = [M0L1T-1][M0L0T1] = [M0L1T0] = [LHS]

Dimension of  at2 = acceleration x (time)2  = [M0L1T-2][M0L0T-2] = [M0L1T0] = [LHS]

∴ The equation is dimensionally correct.

(b) P = (ρgh)½

Dimensions of LHS i.E. Pressure [P] = [M1L-1T-2]

Dimensions of ρ = mass/extent =  [M1L-3T0]

Dimensions of g (acceleration) = [M0L1T-2]

Dimensions of h (peak) = [M0L1T0]

Dimensions of RHS = [(ρgh)½] = ([M1L-3T0]. [M0L1T-2].[M0L1T0])½ = ([M1L-1T-2])½

= [M½L-½T-1]  ≠ [LHS]

Question fifty eight. Ncert): A Man Walking Briskly In Rain With Speed V Must Slant His Umbrella Forward Making An Angle θ With The Vertical. A Student Derives The Following Relation Between θ And V : Tan θ = V And Checks That The Relation Has A Correct Limit: As V → 0, θ →0, As Expected. (we Are Assuming There Is No Strong Wind And That The Rain Falls Vertically For A Stationary Man). Do You Think This Relation Can Be Correct ? If Not, Guess The Correct Relation?

Answer :

Given, v = tanθ

Dimensions of  LHS = [v] = [M0L1T-1]

Dimension of  RHS = [tanθ] = [M0L0T0]      (trigonometric ratios are dimensionless)

Since [LHS] ≠ [RHS]. Equation is dimensionally incorrect.

To make the equation dimensionally correct, LHS have to additionally be size much less. It can be possible if take into account velocity of rainfall (Vr) and the equation turns into:

tan θ = v/Vr

Question fifty nine. Hooke’s Law States That The Force, F, In A Spring Extended By A Length X Is Given By F = −kx. According To Newton’s Second Law F = Ma, Where M Is The Mass And A Is The Acceleration. Calculate The Dimension Of The Spring Constant K?

Answer :

Given, F = -kx

⇒ okay = – F/x

F = ma,

the dimensions of pressure is:

[F] = ma = [M1L0T0].[M0L1T-2] = [M1L1T-2]

Therefore, dimension of spring regular (k) is:

[k] = [F]/[x] = [M1L1T-2].[M0L-1T0] = [M1L0T-2] or [MT-2] …..

Question 60. Compute The Dimensional Formula Of Electrical Resistance (r)?

Answer :

According to Ohm’s law

V = IR or R = V/I

Since Work carried out (W) = QV  where Q is the charge

⇒ R = W/QI = W/I2t         (I = Q/t)

Dimensions of Work [W] = [M1L2T-2]

∴Dimension of R =  [R] = [M1L2T-2][A-2T-1] = [M1L2T-3A-2]

Question sixty one. A Calorie Is A Unit Of Heat Or Energy And It Equals About four.2 J Where 1j = 1 Kg M2 S–2. Suppose We Employ A System Of Units In Which The Unit Of Mass Equals α Kg, The Unit Of Length Equals β M, The Unit Of Time Is γ S. Show That A Calorie Has A Magnitude 4.2 α–1 β–2 γ2 In Terms Of The New Units?

Answer :

Considering the unit conversion formula,

n1U1 = n1U2

n1[M1aL1bT1c] = n2[M2aL2bT2c]

Given right here,  1 Cal = four.2 J = 4.2  kg m2 s–2.

N1 = four.2,  M1 = 1kg,  L1 = 1m,  T1 = 1 sec

and

n2 = ?,  M2 = α kg,  L2 = βm,  T2 = γ sec

The dimensional components of power is =  [M1L2T-2]

⇒ a = 1, b =1 and c = -2  Putting these values in above equation,

n2= n1[M1/M2]a[L1/L2]b[T1/T2]c

    = n1[M1/M2]1[L1/L2]2[T1/T2]-2

    = four.2[1Kg/α kg]1[1m/βm]2[1sec/γ sec]-2 = 4.2 α–1 β–2 γ2  

Question 62. The Kinetic Energy K Of A Rotating Body Depends On Its Moment Of Inertia I And Its Angular Speed ω. Considering The Relation To Be K = Kiaωb Where K Is Dimensionless Constant. Find A And B. Moment Of Inertia Of A Spehere About Its Diameter Is (2/5)mr2?

Answer :

Dimensions of Kinetic electricity K = [M1L2T-2]

Dimensions of Moment of Inertia (I) = [ (2/5)Mr2] = [ML2T0]

Dimensions of angular velocity ω = [θ/t] = [M0L0T-1]

Applying precept of homogeneity in dimensions within the equation K = kIaωb

[M1L2T-2] = okay ( [ML2T0])a([M0L0T-1])b

[M1L2T-2] = okay [MaL2aT-b]

⇒ a = 1 and b = 2

⇒ K = kIω2  

Question sixty three. Convert 1 Newton Into Dyne Using Method Of Dimensions?

Answer :

Dimensions of Force = [M1L1T-2]

Considering dimensional unit conversion system i.E.  N1[M1aL1bT1c] = n2[M2aL2bT2c]

⇒ a = 1, b = 1 and c = -2

In SI machine,  M1 = 1kg,        L1 = 1m   and T1 = 1s

In cgs device, M2 = 1g,         L2 = 1cm  and T2 = 1s

Putting the values within the conversion components,

n2 = n1(1Kg/1g)1.(1m/1cm)1(1s/1s)-2= 1.(103/1g)(102cm) = 105dyne

Question 64. The Centripetal Force (f) Acting On A Particle (moving Uniformly In A Circle) Depends On The Mass (m) Of The Particle, Its Velocity (v) And Radius (r) Of The Circle. Derive Dimensionally Formula For Force (f)?

Answer :

Given,   F ∝ ma.Vb.Rc

∴ F = kma.Vb.Rc     (where k is steady)

Putting dimensions of every amount inside the equation,

 [M1L1T-2] = [M1L0T0]a.[M0L1T-1]b. [M0L1T0]c = [MaLb+cT+cT-b]

⇒  a =1, b +c = 1, -b = -2

⇒  a= 1, b = 2, c = -1

∴ F = km1.V2.R-1= kmv2/r

Question sixty five. If The Velocity Of Light C, Gravitational Constant G And Planks Constant H Be Chosen As Fundamental Units, Find The Value Of A Gram, A Cm And A Sec In Term Of New Unit Of Mass, Length And Time Respectively. (take C = three X 1010 Cm/sec, G = 6.Sixty seven X 108 Dyn Cm2/gram2 And H = 6.6 X 10-27 Erg Sec)?

Answer :

Given,

c = 3 x 1010 cm/sec

G = 6.67 x 108 dyn cm2/gm2

h = 6.6 x 10-27 erg sec

Putting respective dimensions,

Dimension formula for c = [M0L1T-1] = three x 1010 cm/sec                             …. (I)

Dimensions of G             =  [M-1L3T-2] = 6.Sixty seven x 108dyn cm2/gm2                …(II)

Dimensions of h             = [M1L2T-1] =  6.6 x 10-27erg sec                         …(III)

(Note: Applying newton’s regulation of gravitation, you may find dimensions of G i.E. G = Fr2/(mM)

Similarly, Planck’s Constant (h) = Energy / frequency)

To get M, multiply eqn-I and III and divide with the aid of eqn.-II,

⇒ [M0L1T-1].[M1L2T-1].[M1L-3T2]

= ( 3 x 1010 cm/sec).( 6.6 x 10-27 erg sec)/ 6.Sixty seven x 108 dyn cm2/gm2

⇒[M2] = 2.968 x 10-9

⇒[M] =  0.5448 x 10-four gm

or 1gm = [M]/zero.5448 x 10-four = 1.835 x 10-4 unit of mass

To attain length [L],  eqn.-II x eqn-III / dice of eqn.-I i.E.

[M-1L3T-2].[M1L2T-1].[M0L-3T3]

= (6.Sixty seven x 108 dyn cm2/gm2 ).( 6.6 x 10-27erg sec)/(three x 1010 cm/sec)3

⇒ [L2] =  1.6304 x 10-65cm2

⇒ [L]  =  zero.4038 x 10-32 cm

or  1cm = [L]/ zero.4038 x 10-32 = 2.Forty seven x 10-32unit of length

In eqn-I,  [M0L1T-1] = 3 x 1010cm/sec

⇒  [T] = [L] ÷ 3 x 1010cm/s

⇒  [T] =  zero.4038 x 10-32 cm  ÷ 3 x 1010cm/s = 0.1345 x 10-forty two s

or 1s = [T]/zero.1345 x 10-42s = 7.Forty two x 1042unit of time 

Question sixty six. A Student While Doing An Experiment Finds That The Velocity Of An Object Varies With Time And It Can Be Expressed As Equation: V = Xt2 + Yt +z . If Units Of V And T Are Expressed In Terms Of Si Units, Determine The Units Of Constants X, Y And Z In The Given Equation?

Answer :

Given,  v = Xt2 + Yt +Z

Dimensions of pace v =  [M0L1T-1]

Applying making use of precept of homogeneity in dimensions, terms ought to have identical measurement.

[v] = [Xt2] + [Yt] + [Z]

∴ [v] = [Xt2]

⇒ [X] = [v] /[t2]  =  [M0L1T-1] / [M0L0T2] = [M0L1T-3]              ….(i)

Similarly, [v] = [Yt]

⇒  [Y] = [v] / [t] = [M0L1T-1]/ [M0L0T-1] = [M0L1T-2]             …(ii)

Similarly, [v]= [Z]

[Z] =  [M0L1T-1]      …(iii)

⇒ Unit of X = m-s-3

⇒ Unit of Y = m-s-2

⇒ Unit of Z = m-s-1

Question sixty seven. Express Capacitance In Terms Of Dimensions Of Fundamental Quantities I.E. Mass (m), Length(l), Time(t) And Ampere(a)?

Answer :

Capacitance(C) is defined because the potential of a electric powered body to store electric price.

∴ Capacitance (C) = Total Charge(q) / ability distinction among two plates (V)

= Coulomb/ Volt

?  Volt = Work achieved (W)/ Charge(q) = Joule/Coulomb

⇒  Capacitance (C) = Charge(q)2/ Work(W)

? Charge (q) = Current (I) × Time(t)

Dimension of [q] = [AT]                                                 ———– (I)

Dimension of Work = Force × distance = [MLT-2][L] = [ML2T-2]            ——— (II)

Putting values of I and II,

[C] = ([AT])2/ [ML2T-2] = [M-1L-2T2+2A2] = [M-1L-2T4A2]

Physical Quantities having the same dimensional method:

a. Impulse and momentum.

B. Pressure, thrust.

C. Work, strength, torque, moment of pressure, strength

d. Angular momentum, Planck’s steady, rotational impulse

e. Pressure consistent, surface tension, floor electricity.

F. Stress, pressure, modulus of elasticity.

G. Angular pace, frequency, velocity gradient

h. Latent warmth, gravitational potential.

I. Thermal potential, entropy, normal fuel steady and Boltzmann’s steady.

J. Strength, luminous flux.

Question sixty eight. If Force (f), Velocity (v) And Acceleration (a) Are Taken As The Fundamental Units Instead Of Mass, Length And Time, Express Pressure And Impulse In Terms Of F, V And A?

Answer :

We know that Force = mass ? acceleration

⇒ mass = FA-1

and  length = speed ? time = speed ?  pace ÷  acceleration = V2A-1

and time = VA-1

? Pressure = Force  ÷ Area = F ÷ (V2A-1)2 = FV-4A2

Impulse = Force ? time = FVA-1