Dimensions of physical quantities, dimensional analysis and its applications - One Line Questions
1.
The dimensions of electric current are: —
[A]
2.
What are the dimensions of velocity? —
[L T^-1]
3.
If the distance s is related to time t by s = a t^2 + b t + c, then the dimensions of b are: —
[L T^-1]
4.
If the distance s is related to time t by s = a t^2 + b t + c, then the dimensions of c are: —
[L]
5.
If the velocity of a particle is given by v = At + B, where v is in m/s and t is in seconds, then the dimensions of A are: —
[L T^-2]
6.
If the velocity of a particle is given by v = At + B, where v is in m/s and t is in seconds, then the dimensions of B are: —
[L T^-1]
7.
What are the dimensions of acceleration due to gravity? —
[L T^-2]
8.
If the equation for the period of a simple pendulum T = 2 pi sqrt(l/g) is to be checked dimensionally, what are the dimensions of g (acceleration due to gravity)? —
[L T^-2]
9.
If the equation for the period of a simple pendulum T = 2 pi sqrt(l/g) is to be checked dimensionally, what are the dimensions of l (length)? —
[L]
10.
Dimensional analysis can be used to convert units from one system to another. For example, to convert 1 Newton to dyne, we use dimensions of force: —
[M L T^-2]
11.
The SI unit of force is Newton. What are its dimensions? —
[M L T^-2]
12.
If the force F = 6 pi eta r v, where eta is the coefficient of viscosity, r is the radius, and v is the velocity, what are the dimensions of eta? —
[M L^-1 T^-1]
13.
The dimensions of coefficient of viscosity are: —
[M L^-1 T^-1]
14.
The dimensions of pressure are: —
[M L^-1 T^-2]
15.
The dimensions of pressure gradient are: —
[M L^-2 T^-2]
16.
The dimensions of angular momentum are: —
[M L^2 T^-1]
17.
What are the dimensions of Planck's constant (h)? —
[M L^2 T^-1]
18.
If the equation of state for an ideal gas is PV = nRT, what are the dimensions of R (the universal gas constant)? —
[M L^2 T^-2 K^-1 mol^-1]
19.
The dimensions of torque are: —
[M L^2 T^-2]
20.
The dimensions of kinetic energy are: —
[M L^2 T^-2]
21.
Which of the following represents the dimensions of work done? —
[M L^2 T^-2]
22.
The dimensions of power are: —
[M L^2 T^-3]
23.
If the equation P = E / T is dimensionally correct, where P is power, E is energy, and T is time, what are the dimensions of P? —
[M L^2 T^-3]
24.
The dimensions of electric flux are: —
[M L^3 T^-3 A^-1]
25.
The dimensions of magnetic field strength are: —
[M T^-2 A^-1]
26.
The dimensions of surface tension are: —
[M T^-2]
27.
The dimensions of the Stefan-Boltzmann constant are: —
[M T^-3 K^-4]
28.
The dimensions of the universal gravitational constant G are: —
[M^-1 L^3 T^-2]
29.
The dimensions of coefficient of friction are: —
[M^0 L^0 T^0]
30.
What are the dimensions of angular velocity? —
[T^-1]
31.
The dimensions of frequency are: —
[T^-1]
32.
The dimensions of angular acceleration are: —
[T^-2]
33.
Dimensional analysis is NOT applicable when the equation involves: —
Trigonometric or exponential functions
34.
Which quantity has dimensions of ML^-1T^-1? —
Coefficient of viscosity
35.
If the velocity of a wave is given by v = sqrt(T/rho), where T is tension and rho is linear density, this equation is dimensionally: —
Correct
36.
If E = mc^2, where E is energy, m is mass, and c is the speed of light, this equation is dimensionally: —
Correct
37.
If v = sqrt(P/rho), where v is velocity, P is pressure, and rho is density, this equation is dimensionally: —
Correct
38.
Dimensional analysis can be used to check the: —
Correctness of a physical equation
39.
Which physical quantity has dimensions of [M L^2 T^-3]? —
Power
40.
The dimensions of the Boltzmann constant are the same as those of: —
Energy per degree Kelvin
41.
Which of the following is NOT a valid application of dimensional analysis? —
Determining the exact form of a physical law
42.
Which physical quantity has dimensions [M^0 L^0 T^0]? —
Strain
43.
Which of the following quantities has dimensions of energy? —
Force x Velocity
44.
Which of the following is a derived SI unit? —
Watt
45.
Which of the following is NOT a fundamental unit in the SI system? —
Newton
46.
The dimensions of impulse are the same as those of: —
Momentum
47.
Which of the following is a dimensionless quantity? —
Refractive index
48.
The dimensions of surface energy are the same as those of: —
Surface tension
49.
Which of the following applications of dimensional analysis is INCORRECT? —
To determine the value of physical constants
50.
If a quantity has dimensions [M^1 L^2 T^-2], it could represent: —
Work or Energy