CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 7 - MCQExams.com

$$ M^{-1}L^{-2}T^3\theta^1 $$ are the dimensions of :
  • coefficient of thermal conductivity
  • coefficient of viscosity
  • modulus of rigidity
  • thermal resistance
5.74 gm of a substance occupies a volume of $$1.2\;cm^3$$. Calculate its density with due regard for significant figures.
  • $$4.8\; g/cm^3$$
  • $$2.3\; g/cm^3$$
  • $$2.4\; g/cm^3$$
  • $$3.8\; g/cm^3$$
The number of significant figures in 3400 is :
  • 4
  • 1
  • 3
  • 2
In an experiment to determine acceleration due to gravity by simple pendulum, a student commits 1 % positive error in the measurement of length and 3% negative error in the measurement of time period. The percentage error in the value of g will be :
  • 7%
  • 10%
  • 4%
  • 3%
The dimensions of intensity of energy are :
  • $$ ML^2T^{-1} $$
  • $$ ML^2T^{-2} $$
  • $$ M{T}^{-3} $$
  • $$ ML^{-2}T^3 $$
The dimensions of $$ \dfrac {L}{RCV} $$ ($$ L= $$ inductance, $$ R= $$ resistance, $$ C= $$ capacitance, $$ V= $$ potential difference) are
  • [$$A$$]
  • $$ [A^{-1}] $$
  • [$$AT$$]
  • dimensionless
The dimensions of $$ (h/e) [h= $$ Planck's constant, $$ e= electronic \   charge] $$ are same as that of 
  • Magnetic field
  • Magnetic flux
  • Electric field strength
  • Electric flux
The dimension of the expression $$ \dfrac { 1 }{ MB }  $$ is
  • $$[L]$$
  • $$ [M^{-2}I T^{2}] $$
  • $$ [L^{-1}] $$
  • $$ [T^{-1}] $$
The dimensions of $$ \dfrac{{v}^{2}}{\mu g} $$ where $$\mu=$$ coefficient of friction, $$v=$$ the velocity, $$g=$$ acceleration due to gravity is same as that of
  • $$\dfrac {F}{Bq}$$
  • $$\mu F$$
  • $$\dfrac {F}{m}$$
  • None
The dimensional formula for magnetic permeability  $$ \mu $$ is
  • $$ [MLT^{-2}A^{-2}] $$
  • $$ [M^0L^{-1}T] $$
  • $$ [M^0L^2T^{-2}A{-2}] $$
  • $$ [ML^2T^{-2}A{-2}] $$
The dimensional formula of modulus of rigidity is
  • $$[ML^2T^{-2}]$$
  • $$[ML^{-1}T^{-3}]$$
  • $$[ML^{-2}T^{-2}]$$
  • $$[ML^{-1}T^{-2}]$$
What are the number of significant figures in the measurement $$ 0.0040\times10^{-15}m $$?
  • 1
  • 2
  • 4
  • 5
If $$L$$ and $$R$$ denote inductance and resistance respectively, then the dimensions of $$L/R$$ are
  • $$[M^0L^0T^0]$$
  • $$[M^0L^0T]$$
  • $$[M^2L^0T^2]$$
  • $$[MLT^2]$$
Area of a square is $$(100\pm 2)m^2$$. Its side is:
  • $$(10\pm 1)m$$
  • $$(10\pm 0.1)m$$
  • $$(10\pm \sqrt 2)m$$
  • $$10\pm \sqrt 2$$ %
The deBroglie wavelength associated with a particle of mass $$m$$ and energy $$E$$ is $$\dfrac{h}{\sqrt {2mE}}$$. The dimensional formula of Planck's constant h is
  • $$[M^2L^2T^{-2}]$$
  • $$[ML^2T^{-1}]$$
  • $$[MLT^{-2}]$$
  • $$[ML^2T^{-2}]$$
Match List I with List II and select the correct answer using the codes given below the list
List IList II
P. Boltzmann constant$$[ML^2T^{-1}]$$
Q. Coefficient of viscosity2. $$[ML^{-1}T^{-1}]$$
R. Planck constant3. $$[MLT^{-3}K^{-1}]$$
S. Thermal conductivity4. $$[ML^2T^{-2}K^{-1}]$$
  • 3 1 2 4
  • 3 2 1 4
  • 4 2 1 3
  • 4 1 2 3
Let $$[\epsilon_0]$$ denote the dimensional formula of the permittivity of vacuum. If $$M=mass, L=length, T=time$$ and $$A=electric$$ current, then
  • $$\epsilon_0 = [M^{-1}L^{-3}T^2A^2]$$
  • $$\epsilon_0 = [M^{-2}L^{-3}T^4A^2]$$
  • $$\epsilon_0 = [M^{1}L^{2}T^1A^2]$$
  • $$\epsilon_0 = [M^{1}L^{2}T^1A]$$
$$L, C, R$$ represent physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are
  • $$1/RC$$
  • $$R/L$$
  • $$1/\sqrt {LC}$$
  • $$C/L$$
If g is the acceleration due to gravity and $$\lambda$$ is wavelength then which physical quantity does $$\sqrt {\lambda g}$$ represent?
  • Velocity
  • Length
  • Time
  • Charge
If $$e$$ is the charge, $$V$$ the potential difference, $$T$$ the temperature, then the units of $$\dfrac {eV}{T}$$ are the same as that of
  • planck's constant
  • stefan's constant
  • boltzmann constant
  • gravitational constant
The dimensions of $$\dfrac {1}{\epsilon_0}\dfrac {e^2}{hc}$$ are
  • $$M^{-1}L^{-3}T^4A^2$$
  • $$ML^{3}T^{-4}A^{-2}$$
  • $$M^0L^0T^0A^0$$
  • $$M^{-1}L^{-3}T^2A$$
The length, breadth and thickness of a block are given by $$l = 12\  cm$$, $$b = 6\  cm$$ and $$t = 2.45 cm$$. The volume of the block according to the idea of significant figures should be :
  • $$\displaystyle 1\times 10^{2}\:cm^{3}$$
  • $$\displaystyle 2\times 10^{2}\:cm^{3}$$
  • $$\displaystyle 1.763\times 10^{2}\:cm^{3}$$
  • None of these
Using mass $$(M)$$, length $$(L)$$, time $$(T)$$ and electric current $$(A)$$ as fundamental quantities the dimensions of permittivity will be
  • $$[MLT^{-1}A^{-1}]$$
  • $$[MLT^{-2}A^{-2}]$$
  • $$[M^{-1}L^{-3}T^{+4}A^{2}]$$
  • $$[M^{-2}L^{-2}T^{-2}A^{2}]$$
The dimensional formula of farad is
  • $$[M^{-1}L^{-2}TQ]$$
  • $$[M^{-1}L^{-2}T^{2}Q^2]$$
  • $$[M^{-1}L^{-2}TQ^2]$$
  • $$[M^{-1}L^{-2}T^{2}Q]$$
If time $$T$$, acceleration $$A$$ and force $$F$$ are regarded as base units, then the dimensional formula of work is
  • $$[FA]$$
  • $$[FAT]$$
  • $$[FAT^2]$$
  • $$[FA^2T]$$
The dimensional formula for magnetic flux is
  • $$\displaystyle \left [ ML^2T^{-2}A^{-1} \right ]$$
  • $$\displaystyle \left [ ML^{3}T^{-4}A^{-2} \right ]$$
  • $$\displaystyle \left [ M^{0}L^{-2}T^{-2}A^{-2} \right ]$$
  • $$\displaystyle \left [ ML^{2}T^{-1}A^{2} \right ]$$
Which one of the following has the dimensions of pressure?
  • $$\displaystyle \left [ ML^{-2}T^{-2} \right ]$$
  • $$\displaystyle \left [ M^{-1}L^{-1} \right ]$$
  • $$\displaystyle \left [ MLT^{-2} \right ]$$
  • $$\displaystyle \left [ ML^{-1}T^{-2} \right ]$$
The dimensions of voltage in terms of mass $$(M)$$, length $$(L)$$ and time $$(T)$$ and ampere $$(A)$$ are
  • $$[ML^2T^{-2}A^{-2}]$$
  • $$[ML^2T^{3}A^{-1}]$$
  • $$[ML^2T^{-3}A^{1}]$$
  • $$[ML^2T^{-3}A^{-1}]$$
Consider the following pairs of quantities:
Young's modulus; pressure
Torque; energy
Linear momentum; work
Solar day; light year
In which cases are the dimensions, within a pair, same?
  • 1 and 3
  • 1 and 4
  • 1 and 2
  • 2 and 4
The physical quantity having the dimensions $$\displaystyle \left [ M^{-1}T^3L^{-3}A^{2} \right ]$$ is:
  • resistance
  • resistivity
  • electrical conductivity
  • electromotive force
metres
  • $$10^{-1}$$
  • $$10^{-2}$$
  • $$10^1$$
  • $$10^2$$
The dimensional formula for Planck's constant and angular momentum are
  • $$\displaystyle \left [ ML^{2}T^{-2} \right ]and\left [ MLT^{-1} \right ]$$
  • $$\displaystyle \left [ ML^{2}T^{-1} \right ]and\left [ ML^{2}T^{-1} \right ]$$
  • $$\displaystyle \left [ ML^{3}T^{1} \right ]and\left [ ML^{2}T^{-2} \right ]$$
  • $$\displaystyle \left [ MLT^{-1} \right ]and\left [ MLT^{-2} \right ]$$
Which of the following is the dimension of the coefficient of friction?
  • $$\displaystyle \left [ M^{2}L^{2}T \right ]$$
  • $$\displaystyle \left [ M^{0}L^{0}T^{0} \right ]$$
  • $$\displaystyle \left [ ML^{2}T^{-2} \right ]$$
  • $$\displaystyle \left [ M^{2}L^{2}T^{-2} \right ]$$
Dimensions of linear impulse are
  • $$\displaystyle \left [ ML^{-2}T^{-3} \right ]$$
  • $$\displaystyle \left [ ML^{-2} \right ]$$
  • $$\displaystyle \left [ MLT^{-1} \right ]$$
  • $$\displaystyle \left [ MLT^{-2} \right ]$$
The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of
  • frequency
  • velocity
  • angular momentum
  • time
Dimension of velocity gradient is
  • $$\displaystyle \left [ M^{0}L^{0}T^{-1} \right ]$$
  • $$\displaystyle \left [ ML^{-1}T^{-1} \right ]$$
  • $$\displaystyle \left [ M^{0}LT^{-1} \right ]$$
  • $$\displaystyle \left [ ML^{0}L^{-1} \right ]$$
If $$C$$ and $$R$$ denote capacitance and resistance, then dimensions of $$CR$$ will be
  • $$\displaystyle \left [ M^{0}L^{0}TA^{0} \right ]$$
  • $$\displaystyle \left [ ML^{0}TA^{-2} \right ]$$
  • $$\displaystyle \left [ ML^{0}TA^{2} \right ]$$
  • $$\displaystyle \left [ ML^{0}T^{2}A^{-2} \right ]$$
It takes time $$8$$ min for light to reach from sun to the earth surface. If speed of light is taken to be $$3 \times 10^8$$ m $$s^{-1}$$, find the order of magnitude of distance from the sun to the earth in km.
  • $$10^7 km$$
  • $$15\times10^8 km$$
  • $$10^8 km$$
  • $$10^9 km$$
Write the dimensions of $$\cfrac{d{\phi}_{B}}{dt}$$ where $$\phi_B$$ is magnetic flux through a coil.
  • $$[ M{ L }^{ 2 }{ A }^{ -1 }{ T }^{ -3 }] $$
  • $$[ M{ L }^{ 3 }{ A }^{ -1 }{ T }^{ -2 }] $$
  • $$[ M{ L }^{ 2 }{ A }^{ -2 }{ T }^{ -3 }] $$
  • None of these
The length, breadth and height of a glass slab are respectively $$50 cm$$, $$20 cm$$ and $$25 cm$$. Find the order of magnitude of volume of slab in Sl unit.
  • $$10^{-2} m^3$$
  • $$10^{-4} m^3$$
  • $$10^{-3} m^3$$
  • $$10^{-3} cm^3$$
The radius of a hydrogen atom is $$0.5\mathring{A}$$. Find the order of magnitude of volume of $$1$$ mole hydrogen in $$m^3$$. Given that 1 mole of hydrogen has $$6.02 \times 10^{23}$$ hydrogen atoms.
  • $$2\times10^{-4} m^3$$
  • $$10^{-3} m^3$$
  • $$10^{-7} m^3$$
  • $$10^{-2} m^3$$
Find the order of magnitude of the mass of the star, whose radius is $$384 \times 10^6$$ m and average density is $$4 \times 10^3$$ kg $$m^{-3}$$ :
  • 30
  • 29
  • 24
  • 21
The electric potential existing in space is $$V(x, y, z) = A (xy+ yz + zx)$$. Write the dimensional formula of $$A$$ :
  • $$MT^{-2} I^{-1}$$
  • $$MT^{-3} I^{-1}$$
  • $$MT^{-2} I^{-2}$$
  • $$MT^{-3} I^{-2}$$
The value due regard to significant figure  $$ 4.0\times 10^{-4}-2.5\times 10^{-6}$$ 
  • $$\displaystyle 4.0\times 10^{-4}$$
  • $$\displaystyle 3.975\times 10^{-4}$$
  • $$\displaystyle 3.9\times 10^{-4}$$
  • none of the above
Dimension of relative density is - 
  • $$ kg m^{-3} $$
  • $$ ML^{-3} $$
  • Dimensionless
  • $$ M^2L^{-6} $$
Round off 2.0082 to four significant figures.
  • 2.008
  • 2.0082
  • 2.009
  • 2
The dimensions of universal gravitational constant $$G$$ are :
  • $$ [M\,L\,T^{-2}] $$
  • $$ [M\,L^3\,T^{-2}] $$
  • $$ [M^{-1}\,L^3\,T^{-2}] $$
  • $$ [M^{-1}\,L\,T^{-2}] $$
Write the dimensional formula of charge.
  • $$\left [ AT \right ]$$
  • $$\left [ AT^{-1} \right ]$$
  • $$\left [ AT^{-2} \right ]$$
  • $$\left [ AT^{2} \right ]$$
Which of the following groups have the same dimensions ?
  • velocity, speed
  • pressure, stress
  • force, impulse
  • work, energy
Round off following number upto four significant figures.
$$45.689$$
  • $$45.689$$
  • $$45.69$$
  • $$45.68$$
  • $$45.7$$
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