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

M1L2T3θ1 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 1.2cm3. Calculate its density with due regard for significant figures.
  • 4.8g/cm3
  • 2.3g/cm3
  • 2.4g/cm3
  • 3.8g/cm3
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 cmFind 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
0:0:1


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