CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 3 - MCQExams.com

If $$C$$ denotes the capacity and $$L$$ denotes the inductance, the dimensions of '$$LC$$' are :
  • $${ M }^{ 0 }{ L }^{ 0 }{ T }^{ 2 }$$
  • $${ M }^{ 1 }{ L }^{ 0 }{ T }^{ 2 }$$
  • $${ M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }$$
  • $${ M }^{ 0 }{ L }^{ 1 }{ T }^{ 2 }$$
The dimensional formula for strain is same as that of
  • thrust
  • angle
  • modulus of elasticity
  • stress
The dimensions of the coefficient of viscosity are :
  • $$ ML^{-1}T^{-1} $$
  • $$ MLT $$
  • $$ M^{-1}L^{-1}T^{-1} $$
  • $$ M^0L^0T^0 $$
The division of energy by time is $$X$$. The dimensional formula of $$X$$ is same as that of
  • momentum
  • power
  • torque
  • electric field
An athlete's coach told him that muscle times speed equals power.
Then according to him the dimensions of muscle are
  • $$ [MLT^{-2}] $$
  • $$ [ML^2T^{-2}] $$
  • $$ [MLT^{+2}] $$
  • $$[MLT^{-3}]$$
A quantity $$X$$ is given by $$\epsilon_0 L\dfrac {\Delta V}{\Delta t}$$, where $$\epsilon_0$$ is the permittivity of fee space, $$L$$ is length, $$\Delta V$$ is a potential difference and $$\Delta t$$ is a time interval. The dimensional formula for $$X$$ is the same as that of
  • resistance
  • charge
  • voltage
  • current
The correct statement about Poisson's ratio is:
  • Its unit is $$ N/m^2 $$
  • It is dimensionless
  • Its unit is Newton
  • Its dimensions are $$ MLT^{-2} $$
The dimensions of quantity $$ \dfrac{1}{\mu_0} (\vec{E} \times \vec{B})$$ are:
$$ [\mu_0= $$ permeability of free space, $$ \displaystyle E^1= $$ electric field strength, $$ \displaystyle B^1=$$ magnetic  field  induction $$] $$ 
  • $$ [MT^{-3}] $$
  • $$ [ML^2T^{-3}] $$
  • $$ [ML^{-1}T^{-1}] $$
  • $$ [MT^{-3}A^2] $$
The dimensional formula of latent heat is identical to that of
  • internal energy
  • angular momentum
  • gravitational potential
  • electric potential
The dimensional formula of $$\dfrac {L}{R}$$ is same as that of (where $$L$$ is inductance and $$R$$ is resistance)
  • (frequency)$$^2$$
  • time period
  • frequency
  • (time period)$$^2$$
Which of the following combinations has dimensions?
  • $$ \dfrac{rpv}{\eta} $$
  • $$ \mu_0\in_0c^2 $$
  • $$ \dfrac{t}{RC} $$
  • $$ \dfrac{\sigma}{\lambda_mT} $$
How many significant figures are there in $$0.030100\times 10^6$$?
  • 1
  • 3
  • 5
  • 7
The dimensional formula for relative density is
  • $$[ML^{-3}]$$
  • $$[M^0L^{-3}]$$
  • $$[M^0L^0T^{-1}]$$
  • $$[M^0L^0T^0]$$
The ratio of the dimensions of Planck's constant and that of the moment of intertia is the dimensions of
  • time
  • frequency
  • angular momentum
  • velocity
Which of the following is a dimensional constant?
  • Refractive index
  • Dielectric constant
  • Relative density
  • Gravitational constant
The dimension of length for coefficient of viscosity is
  • -1
  • +1
  • -2
  • +2
Place the odd unit out.
  • kilowatt hour
  • joule second
  • watt second
  • electron volt
$$\sqrt {\mu_0\epsilon_0}$$ has the dimensions
  • $$[M^0LT^{-1}]$$
  • $$[M^0L^{-1}T]$$
  • $$[M^2L^3T^{-1}]$$
  • $$[M^{-1}L^3T^{-2}]$$
Which is most accurate?
  • 3 m
  • 3.0 m
  • 3.00 m
  • 3.000 m
How many significant figures are there in 30100?
  • 1
  • 3
  • 5
  • none of these
Which of the following have the same dimensions?
  • impulse and momentum
  • specific heat and latent heat
  • moment of inertia and force
  • thrust and surface tension
Dimensions of $$\dfrac {1}{\mu_o\epsilon_o}$$, where symbols have their usual meaning, are
  • $$[L^{-1}T]$$
  • $$[L^{-2}T^{2}]$$
  • $$[L^{2}T^{-2}]$$
  • $$[LT^{-1}]$$
The dimensions of electromotive force in terms of current A are
  • $$[MT^{-2}A^{-2}]$$
  • $$[ML^{2}T^{-2}A^2]$$
  • $$[ML^{2}T^{-2}A^{-2}]$$
  • $$[ML^{2}T^{-3}A^{-1}]$$
The dimensions of pressure gradient are
  • $$[ML^{-2}T^{-2}]$$
  • $$[ML^{-2}T^{-1}]$$
  • $$[ML^{-1}T^{-1}]$$
  • $$[ML^{-1}T^{-2}]$$
The dimensions of universal gas constant are
  • $$[L^2M^1T^{-2}K^{-1}]$$
  • $$[L^1M^2T^{-2}K^{-1}]$$
  • $$[L^1M^1T^{-2}K^{-1}]$$
  • $$[L^2M^2T^{-2}K^{-1}]$$
Dimensions of impulse are
  • $$[MLT^{-1}]$$
  • $$[MLT^{2}]$$
  • $$[MT^{-2}]$$
  • $$[ML^{-1}T^{-3}]$$
Which of the following set have different dimensions?
  • Pressure, Young's modulus, Stress
  • Emf, Potential difference, Electric potential
  • Heat, Work done, Energy
  • Electric dipole moment, Electric flux, Electric field
Which one of the following represents the correct dimensions of the coefficient of viscosity?
  • $$[ML^{-1}T^{-1}]$$
  • $$[MLT^{-1}]$$
  • $$[ML^{-1}T^{-2}]$$
  • $$[ML^{-2}T^{-2}]$$
Which of these is dimensionless?
  • Force$$/$$acceleration
  • Velocity$$/$$acceleration
  • Volume$$/$$area
  • Energy$$/$$work
The dimensions of Rydberg's constant are
  • $$[M^0L^{-1}T]$$
  • $$[MLT^{-1}]$$
  • $$[M^0L^{-1}T^0]$$
  • $$[ML^0T^2]$$
Identify the pair whose dimensions are equal.
  • Torque and work
  • Stress and energy
  • Force and stress
  • Force and work
If $$L$$ denotes the inductance of an inductor through which a current $$i$$ is flowing, the dimensions of $$Li^2$$ are
  • $$[ML^2T^{-2}]$$
  • $$[MLT^{-2}]$$
  • $$[M^2L^2T^{-2}]$$
  • not expressible in $$M, L, T$$
The dimensions of Hubble's constant are
  • $$[T^{-1}]$$
  • $$[M^0L^0T^{-2}]$$
  • $$[MLT^4]$$
  • $$[MT^{-1}]$$
$$[ML^2T^{-2}]$$ are dimensions of
  • force
  • moment of force
  • momentum
  • power
The dimensions of magnetic moment are
  • $$[L^2A^1]$$
  • $$[L^2A^{-1}]$$
  • $$[L^2/A^3]$$
  • $$[LA^2]$$
The unit and dimensions of impedance in terms of charge Q are
  • $$mho, [ML^2T^{-2}Q^{-2}]$$
  • $$ohm, [ML^2T^{-1}Q^{-2}]$$
  • $$ohm, [ML^2T^{-2}Q^{-1}]$$
  • $$ohm, [MLT^{-1}Q^{-1}]$$
If $$L$$ and $$R$$ denote inductance and resistance then dimension of $$L/R$$ is
  • $$[M^0L^0T^0]$$
  • $$[M^0L^0T]$$
  • $$[M^2L^0T^2]$$
  • $$[MLT^2]$$
The dimensional formula of current density is
  • $$[M^0L^{-2}T^{-1}Q]$$
  • $$[M^0L^{2}T^{1}Q^{-1}]$$
  • $$[MLT^{-1}Q]$$
  • $$[ML^{-2}T^{-1}Q^2]$$
The dimensional formula for relative refractive index is
  • $$[M^0L^1T^{-1}]$$
  • $$[M^0L^0T^0]$$
  • $$[M^0L^1T^{1}]$$
  • $$[MLT^{-1}]$$
The dimensions of Wien's constant are
  • $$[ML^0TK]$$
  • $$[M^0LT^0K]$$
  • $$[M^0L^0TK]$$
  • $$[MLTK]$$4
Which physical quantities have same dimensions?
  • Moment of couple and work
  • Force and power
  • Latent heat and specific heat
  • Work and power
The dimensional formula of couple is
  • $$[ML^{2}T^{-2}]$$
  • $$[MLT^{-2}]$$
  • $$[ML^{-1}T^{-3}]$$
  • $$[ML^{-2}T^{-2}]$$
The dimensional formula of arial velocity is
  • $$[M^0L^{-2}T^{1}]$$
  • $$[M^0L^{-2}T^{-1}]$$
  • $$[M^0L^{2}T^{-1}]$$
  • $$[M^0L^{2}T^{1}]$$
If $$I$$ is the moment of inertia and $$\omega$$ the angular velocity, what is the dimensional formula of rotational kinetic energy, $$\dfrac {1}{2}I\omega^2$$?
  • $$[ML^{2}T^{-1}]$$
  • $$[M^2L^{-1}T^{-2}]$$
  • $$[ML^{2}T^{-2}]$$
  • $$[M^2L^{-1}T^{-1}]$$
Which of the following is the unit of molar gas constant?
  • $$JK^{-1} mol^{-1}$$
  • $$J$$
  • $$JK^{-1}$$
  • $$Jmol^{-1}$$
The dimensional formula of velocity gradient is
  • $$[M^0L^0T^{-1}]$$
  • $$[MLT^{-1}]$$
  • $$[ML^0T^{-1}]$$
  • $$[M^0LT^{-2}]$$
Dimensions of '$$ohm$$' are same as (where $$h$$ is Planck's constant and $$e$$ is charge)
  • $$\dfrac {h}{e}$$
  • $$\dfrac {h^2}{e}$$
  • $$\dfrac {h}{e^2}$$
  • $$\dfrac {h^2}{e^2}$$
If $$C$$ and $$L$$ denote the capacitance and inductance, the dimensions of $$LC$$ are
  • $$[M^0L^0T^{-1}]$$
  • $$[M^0L^{-1}T^0]$$
  • $$[M^{-1}L^{-1}T^0]$$
  • $$[M^0L^0T^{2}]$$
If $$I$$ is regarded as the fourth dimension, then the dimensional formula of charge in terms of current $$I$$ is
  • $$[IT^2]$$
  • $$[I^0T^0]$$
  • $$[I^{-1}T^0]$$
  • $$[IT]$$
Specific gravity has ___ dimensions in mass, ___ dimensions in length and ___ dimensions in time.
  • 0, 0, 0
  • 0, 1, 0
  • 1, 0, 0
  • 1, 1, 3
0:0:1


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