CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 1 - MCQExams.com


Dimensions of $$\displaystyle \frac{1}{\mu_{0}{\varepsilon_{0}}}$$ , where symbols have their usual meaning, are :
  • $$[\mathrm{L}^{-1}\mathrm{T}]$$
  • $$[\mathrm{L}^{-2}\mathrm{T}^{2}]$$
  • $$[\mathrm{L}^{2}\mathrm{T}^{-2}]$$
  • $$[\mathrm{L}\mathrm{T}^{-1}]$$
In the following $$I$$ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:
  • $$M{L}^{-3}{T}^{-3}{I}^{2}$$
  • $${M}^{-1}{L}^{-3}{T}^{3}{I}^{2}$$
  • $${M}^{-1}{L}^{3}{T}^{3}I$$
  • $${M}^{-1}{L}^{-3}{T}^{3}I$$
The physical quantities not having same dimensions are:
  • torque and work
  • momentum and Plancks constant
  • stress and Youngs modulus
  • speed and $$(\mu_{0}\varepsilon _{0})^{-1/2}$$
The dimension of magnetic field in $$\mathrm{M},\ \mathrm{L},\ \mathrm{T}$$ and $$\mathrm{C}$$ (Coulomb) is given as :
  • $$\mathrm{M}\mathrm{T}^{-1}\mathrm{C}^{-1}$$
  • $$\mathrm{M}\mathrm{T}^{-2}\mathrm{C}^{-1}$$
  • $$\mathrm{M}\mathrm{L}\mathrm{T}^{-1}\mathrm{C}^{-1}$$
  • $$\mathrm{M}\mathrm{T}^{2}\mathrm{C}^{-2}$$
Which of the following does not have the same dimension?
  • Electric flux, Electric field, Electric dipole moment
  • Pressure, stress, Youngs modulus
  • Electromotive force, Potential difference, Electric voltage
  • Heat, Potential energy, Work done
The relation between $$[\in_0]$$ and $$[\mu_0]$$ is
  • $$[\mu_0] = [\in_0] [L]^2[T]^{-2}$$
  • $$[\mu_0] = [\in_0] [L]^{-2}[T]^{2}$$
  • $$[\mu_0] = [\in_0]^{-1} [L]^2[T]^{-2}$$
  • $$[\mu_0] = [\in_0]^{-1} [L]^{-2}[T]^{2}$$
The dimensions of $${ \left( { \mu }_{ 0 }{ \varepsilon }_{ 0 } \right)  }^{ -1/2 }$$ are :
  • $$[{L}^{-1}T]$$
  • $$[L{T}^{-1}]$$
  • $$[{L}^{1/2}{T}^{1/2}]$$
  • $$[{L}{T}^{1/2}]$$
The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :
  • mgR
  • 2 mgR
  • $$\dfrac{1}{2} mgR$$
  • $$\dfrac{3}{2} mg R$$
If force $$(F)$$, velocity $$(V)$$ and time $$(T)$$ are taken as fundamental units, the dimensions of mass are
  • $$[FVT^{-1}]$$
  • $$[FVT^{-2}]$$
  • $$[FV^{-1}T^{-1}]$$
  • $$[FV^{-1}T]$$
Planck's constant ($$h$$), speed of light in vacuum ($$c$$) and Newton's gravitational constant ($$G$$) are three fundamental constants. Which of the following combinations of these has the dimension of length?
  • $$\sqrt{\dfrac{Gc}{h^{3/2}}}$$
  • $$\dfrac{\sqrt{hG}}{c^{3/2}}$$
  • $$\dfrac{\sqrt{hG}}{c^{5/2}}$$
  • $$\sqrt{\dfrac{hc}{G}}$$
The dimensions of specific resistance are:
  • $$[ML^{-2}A^{-1}]$$
  • $$[ML^3T^{-3}A^{-2}]$$
  • $$[ML^3T^{-2}A^{-1}]$$
  • $$[ML^2T^{-2}A^{-2}]$$
The dimensional formula for electric flux is?
  • $$[ML^3A^{-1}T^{-3}]$$
  • $$[M^2L^2A^{-1}T^{-2}]$$
  • $$[ML^3A^tT^{-3}]$$
  • $$[ML^{-3}A^{-1}T^{-3}]$$
Which of the following pairs does not have same dimensions?
  • impulse and momentum
  • moment of inertia and moment of force
  • angular momentum and Planck's constatn
  • work and torque
What is the dimensions of magnetic field B in terms of C (=coulomb), M, L, T?
  • $$\displaystyle \left[ { M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }C \right] $$
  • $$\displaystyle \left[ { M }^{ 1 }{ L }^{ 0 }{ T }^{ -1 }{ C }^{ -1 } \right] $$
  • $$\displaystyle \left[ { M }^{ 1 }{ L }^{ 0 }{ T }^{ -2 }C \right] $$
  • $$\displaystyle \left[ { M }^{ 1 }{ L }^{ 0 }{ T }^{ -1 }C \right] $$
Dimensional formula of angular momentum is
  • $$ML^{2}T^{-1}$$
  • $$M^{2}L^{2}T^{-2}$$
  • $$ML^{2}T^{-3}$$
  • $$MLT^{-1}$$
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Both Assertion and Reason are incorrect
Dimensional formula of $$\Delta Q$$ heat supplied to the system is given by
  • $$[{ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }]$$
  • $$[{ M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }]$$
  • $$[{ M }^{ 1 }{ L }^{ 2 }{ T }^{ -1 }]$$
  • $$[{ M }{ L }^{ 1 }{ T }^{ -1 }]$$
The dimensional formula of Planck's constant is:
  • $$[ML^2T^{-1}]$$
  • $$[ML^2T^{-2}]$$
  • $$[ML^0T^{2}]$$
  • $$[MLT^{2}]$$
A cube has a side of length $$\displaystyle 1.2\times { 10 }^{ -2 }m$$. Calculate its volume.
  • $$\displaystyle 1.7\times { 10 }^{ -6 }{ m }^{ 3 }$$
  • $$\displaystyle 1.73\times { 10 }^{ -6 }{ m }^{ 3 }$$
  • $$\displaystyle 1.70\times { 10 }^{ -6 }{ m }^{ 3 }$$
  • $$\displaystyle 1.732\times { 10 }^{ -6 }{ m }^{ 3 }$$
If the force is given by $$ F$$ = $$at+bt^2$$ with $$ t $$ as time. The dimensions of a and b are:
  • $$[MLT^{-4}], [MLT^{-2}]$$
  • $$[MLT^{-3}], [MLT^{-4}]$$
  • $$[ML^2T^{-3}], [ML^2T^{-2}]$$
  • $$[ML^2T^{-3}], [ML^3T^{-4}]$$
The dimensional formula for inductance is:
  • $$[M^1L^2T^{-2}A^{-2}]$$
  • $$[M^1L^{2}TA^{-2}]$$
  • $$[M^1L^2T^{-1}A^{-2}]$$
  • $$[M^1L^1T^{-2}A^{-2}]$$
Linear momentum and angular momentum have the same dimensions in:
  • mass and length
  • length and time
  • mass and time
  • mass, length and time
Which of the following does not give the unit of energy ? 
  • Watt second
  • Kilowatt hour
  • Newton meter
  • Pascal metre
Magnetic flux and magnetic induction differ in the dimensions of:
  • mass
  • length
  • time
  • all of these
The dimensional formula for potential energy is:
  • $${ M }^{ 2 }{ L }^{ 2 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ -2 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -3 }$$
The mathematical operation in which the accuracy is limited to least accurate term is :
  • addition
  • subtraction
  • multiplication and division
  • both A and B
The SI unit of a physical quantity is [$$Jm^{-2}$$]. The dimensional formula for that quantity is:
  • $$M^{1}L^{-2}$$
  • $$M^{1}L^{0}T^{-2}$$
  • $$M^{1}L^{2}T^{-1}$$
  • $$M^{1}L^{-1}T^{-2}$$
Impulse and angular velocity have the same dimensions in
  • mass
  • length
  • time
  • mass, length and time
The dimensional formula for magnetic moment of a magnet is :
  • $$[{ M }^{ 0 }{ L }^{ 2 }{ T }^{ 0 }{ A }^{ 1 }]$$
  • $$[{ M }^{ 0 }{ L }^{ 2 }{ T }^{ 0 }{ A }^{ -1 }]$$
  • $$[{ M }^{ 0 }{ L }^{ -2 }{ T }^{ 0 }{ A }^{ -1 }]$$
  • $$[{ M }^{ 1 }{ L }^{ -2 }{ T }^{ 0 }{ A }^{ -1 }]$$
The dimensional formula for moment of couple is :
  • $$[{ M }^{ 1 }{ L }^{ 2 }{ T }^{ -1 }]$$
  • $$[{ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }]$$
  • $$[{ M }^{ -1 }{ L }^{ 2 }{ T }^{ -2 }]$$
  • $$[{ M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }]$$
The measure of accuracy is :
  • absolute error
  • relative error
  • percentage error
  • Both B and C
If the unit of tension is divided by the unit of surface tension the derived unit will be same as that of
  • mass
  • length
  • area
  • work
$$\left[ \dfrac { Permeability }{ Permittivity }  \right] $$will have the dimensions of :
  • $${ M }^{ 0 }{ L }^{ 0 }{ T }^{ 0 }{ A }^{ 0 }$$
  • $${ M }^{ 2 }{ L }^{ 2 }{ T }^{ 4 }{ A }^{ 2 }$$
  • $${ M }^{ 2 }{ L }^{ 4 }{ T }^{ -6 }{ A }^{ -4 }$$
  • $${ M }^{ -2 }{ L }^{ -4 }{ T }^{ 6 }{ A }^{ 4 }$$
Which of the following is/are dimensionless ?
a) Boltzman’s constant b) Planck’s constant c) Poisson’s ratio d) Relative constant
  • a and b
  • c and b
  • c and d
  • d and a
The fundamental unit which has the same power in the dimensional formula of surface tension and coefficient of viscosity is:
  • mass
  • length
  • time
  • none
If $$\mu $$ is the permeability and $$\epsilon $$ is the permittivity then $$\dfrac { 1 }{ \sqrt { \mu \epsilon  }  } $$ is equal to 
  • speed of sound
  • speed of light in vacuum
  • speed of sound in medium
  • speed of light in medium
The physical quantity having the same dimensional formula as that of entropy is:
  • Latent heat
  • Thermal capacity
  • Heat
  • Specific heat
The dimensional equation for magnetic flux is:
  • $${ ML }^{ 2 }{ T }^{ -2 }{ I }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -2 }{ I }^{ -2 }$$
  • $${ ML }^{ -2 }{ T }^{ -2 }{ I }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -2 }{ I }^{ 2 }$$
"Impulse per unit area" has same dimensions as that of
  • coefficient of viscosity
  • surface tension
  • bulk modulus
  • gravitational potential
Which of the following pair does not have same dimensions ?
  • Pressure, Modulus of Elasticity
  • Angular velocity, Velocity gradient
  • Surface tension, Force constant
  • Impulse, Torque
Arrange the following physical quantities in the decreasing order of dimension of length.
I. Density 
II. Pressure 
III. Power 
IV. Impulse
  • I, II, III, IV
  • III, II, I, IV
  • IV, I, II, III
  • III, IV, II, I
Dimensional formula for capacitance is:
  • $${ M }^{ -1 }{ L }^{ -2 }{ T }^{ 4 }{ I }^{ 2 }$$
  • $${ M }^{ 1 }{ L }^{ 2 }{ T }^{ 4 }{ I }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ 2 }{ T }^{ 2 }$$
  • $${ MLT }^{ -1 }$$
The dimensional formula for coefficient of kinematic viscosity is :
  • $${ M }^{ 0 }{ L }^{ -1 }{ T }^{ -1 }$$
  • $${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -1 }$$
  • $${ ML }^{ -1 }{ T }^{ -1 }$$
$${ M }^{ 1 }{ L }^{ -1 }{ T }^{ -2 }$$ represents
  • Stress
  • Young's Modulus
  • Pressure
  • All the above
Dimensions of impulse are :
  • $${ MLT }^{ -2 }$$
  • $${ M }^{ 2 }{ LT }^{ -1 }$$
  • $${ MLT }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -1 }$$
The dimensional formula for Magnetic induction is :
  • $${ MT }^{ -1 }{ A }^{ -1 }$$
  • $${ MT }^{ -2 }{ A }^{ -1 }$$
  • $${ MLA }^{ -1 }$$
  • $${ MT }^{ -2 }A$$
Dimensions of $$C\times R$$ (Capacity x Resistance) is:
  • frequency
  • energy
  • time period
  • current
Dimensional formula for Angular momentum is:
  • $${ ML }^{ 2 }{ T }^{ -1 }$$
  • $${ M }^{ 1 }{ L }^{ 3 }{ T }^{ -1 }$$
  • $${ M }^{ 1 }{ L }^{ 1 }{ T }^{ -1 }$$
  • $${ ML }^{ 3 }{ T }^{ -2 }$$
The pair of physical quantities not having the same dimensional formula are:
  • Acceleration, Gravitational field strength
  • Torque, Angular momentum
  • Pressure, Modulus of Elasticity
  • All the above
Modulus of Elasticity is dimensionally equivalent to:
  • Stress
  • Surface tension
  • Strain
  • Coefficient of viscosity
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