CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 8 - MCQExams.com

Write down the number of significant figures in the following value.
$$1200 N$$
  • $$4$$
  • $$3$$
  • $$2$$
  • $$1$$
Dimension of electrical resistance is : 
  • $$ [ML^2 T^{-3} A^{-1}] $$
  • $$ [ML^2 T^{-3} A^{-2}] $$
  • $$ [ML^3 T^{-3} A^{-2}] $$
  • $$ [ML^{-1} T^{3} A^{2}] $$
In two different systems of units an acceleration is represented by the same number, whilest a velocity is represented by numbers in the ratio $$1\,\colon\,3$$. The ratios of unit of length and time are
  • $$\;\displaystyle\frac{1}{3},\displaystyle\frac{1}{9}$$
  • $$\;\displaystyle\frac{1}{9},\displaystyle\frac{1}{3}$$
  • $$\;1,1$$
  • $$\;\displaystyle\frac{1}{3},\displaystyle\frac{1}{3}$$
Which of the statements are correct?
  • Unit of work is $$kgm^2s^{-2}$$
  • Unit of force is $$kgms^{-2}$$
  • Unit of work is $$kgms^{-2}$$
  • Unit of force is $$kgm^2s^{-2}$$
A force $$\displaystyle F $$ is given by $$ F = at + bt^2 $$, where $$ t $$ is time. The dimensions of $$a$$ and $$b$$ are :
  • $$ [M\,L\,T^{-3}] $$ and $$ [M\,L\,T^{-4}] $$
  • $$ [M\,L\,T^{-4}] $$ and $$ [M\,L\,T^{-3}] $$
  • $$ [M\,L\,T^{-1}] $$ and $$ [M\,L\,T^{-2}] $$
  • $$ [M\,L\,T^{-2}] $$ and $$ [M\,L\,T^{0}] $$
From the following pairs, choose the pair that does not have identical dimensions ? 
  • Impulse and momentum
  • Work and torque
  • Moment of inertia and moment of force
  • Angular moment and Planck's constant
The ratio of the dimensions of Planck's constant and that of inertia has the dimension of  ?
  • Frequency
  • Velocity
  • Angular momentum
  • Time
If a, b, c are the percentage errors in the measurement of A, B and C, then the percentage error in ABC would be approximately 
  • $$ abc $$
  • $$ a + b + c $$
  • $$ ab + bc + ac $$
  • $$\displaystyle \frac {a} {b} + \frac {b} {c} + \frac {c} {a} $$
In the relation $$\displaystyle P = \frac {\alpha} {\beta} e^{-\dfrac {\alpha Z} {k \theta}} $$, $$P$$ is pressure, $$Z$$ is distance, $$k$$ is Boltzmann constant and $$ \theta $$ is the temperature. The dimensional formula of $$ \beta $$ will be :
  • $$ [M^0L^2T^0] $$
  • $$ [ML^2T] $$
  • $$ [ML^0T^{-1}] $$
  • $$ [M^0L^2T^{-1}] $$
A unitless quantity ?
  • Does not exist
  • Always has a nonzero dimension
  • Never has a nonzero dimension
  • May have a nonzero dimension
Two quantities $$A$$ and $$B$$ are related by $$\dfrac{A}{B} = m$$, where $$m$$ is linear density and $$A$$ is force. The dimensions of $$B$$ will be same as that of 
  • Pressure
  • Work
  • Momentum
  • Latent heat
Which of the following does not have the dimensions of force ?
  • Gravitational Potential gradient
  • Energy gradient
  • Weight
  • Rate of change of momentum
The velocity $$v$$ of a particle at time$$ t$$ is given by $$\displaystyle v = at + \frac {b} {t + c} $$ where $$a, b$$ and $$c$$ are constants. The dimensions of $$a, b$$ and $$c$$ are respectively :
  • $$ LT^{-2}\, , L $$ and $$\displaystyle T $$
  • $$ L^{2}\, , T $$ and $$\displaystyle LT^{2} $$
  • $$ LT^{2}\, , LT $$ and $$\displaystyle L $$
  • $$ L\, , LT $$ and $$\displaystyle T^{2} $$
If the unit of length is doubled the numerical value of Area will become ________ times its original value.
  • $$\dfrac{1}{2}$$
  • $$\dfrac{1}{4}$$
  • 2
  • 4
External and internal diameters of a hollow cylinder are measured to be $$(4.23 \pm 0.01)$$ cm and $$(3.89 \pm 0.01)$$ cm. The thickness of the wall of the cylinder is
  • $$(0.34 \pm0.03)$$ cm
  • $$(0.17 \pm 0.04)$$ cm
  • $$(0.17 \pm 0.01)$$ cm
  • $$(0.34 \pm 0.02)$$ cm
The pair of quantities that do not have the same dimensions is 
  • Latent heat, specific heat
  • Gravitational force, Coulomb force
  • Kinetic energy of a freely falling body, potential energy of compressed spring
  • Coefficient of friction, number of molecules in a container.
Statement -1: Kinetic energy can be divided by volume 
and
Statement -2: Dimensions of kinetic energy and volumeare different 
  • Statement -1 is True Statement -2 is True;

    Statement -2 is a correct explanation for Statement -1
  • Statement -1 is True Statement -2 is True;

    Statement -2 is NOT a correct explanation for Statement -1
  • Statement -1 is True Statement -2 is False .
  • Statement -1 is False Statement -2 is True;
A cube has a side of length $$ 1.2 \times 10^{-2}m $$. Calculate its volume. 
  • $$ 1.7 \times 10^{-6} m^3 $$
  • $$ 1.73 \times 10^{-6} m^3 $$
  • $$ 1.70 \times 10^{-6} m^3 $$
  • $$ 1.728 \times 10^{-6} m^3 $$
Count total number of S.F. in $$6.020\, \times\, 10^{23}$$
  • 4
  • 3
  • 6
  • 7
Count total number of S.F. in 300.00
  • 5
  • 6
  • 8
  • 9
Count total number of S.F. in 5.003020
  • 3
  • 20
  • 7
  • 9
What are the dimensions of electrical resistance ?
  • [ML$$\displaystyle ^{2}$$T$$\displaystyle ^{-2}$$I$$\displaystyle ^{2}]$$
  • [ML$$\displaystyle ^{2}$$T$$\displaystyle ^{-3}$$I$$\displaystyle ^{-2}]$$
  • [ML$$\displaystyle ^{2}$$T$$\displaystyle ^{-3}$$I$$\displaystyle ^{2}]$$
  • [ML$$\displaystyle ^{2}$$T$$\displaystyle ^{-2}$$I$$\displaystyle ^{-2}]$$
If a conductance of a conductor (G) is $$\displaystyle \frac { { I }^{ 2 }t }{ W } $$ , where I is current, t is time and W is work done then write the unit of conductance expressed in terms of fundamental units. 
  • $$\dfrac { { A }^{ 2 }{ s }^{ 3 } }{ { kg\quad m }^{ 2 } } $$
  • $$\dfrac { { A }^{ 3 }{ s }^{ 2 } }{ { kg\quad m }^{ 2 } } $$
  • $$\dfrac { { A }^{ 2 }{ s }^{ 3 } }{ { kg\quad m }^{ 1 } } $$
  • $$\dfrac { { A }^{ 3}{ s }^{ 2 } }{ { kg\quad m }^{1 } } $$
An ice cube has a stone of 500 g placed on its top, is floating in water with its lateral sides placed vertically. It displaces 5 kg of water. Suddenly, the stone slips into water. Because of this ice cube rises by $$\displaystyle \frac{1}{10}th$$ of its length above the water level. What is the density of the ice cube (in $$kg/m^3$$)?
  • 960
  • 840
  • 900
  • 820
What is the dimensional formula of universal gravitational 'G'? The gravitational force of attraction between two objects of masses $$\displaystyle { m }_{ 1 }\quad and\quad { m }_{ 2 }$$ seperated by a distance d is given by $$\displaystyle F=\frac { G{ m }_{ 1 }{ m }_{ 2 } }{ { d }_{ 2 } } $$. Where 'G' is the universal gravitational constant.
  • $$\displaystyle [M\quad { LT }^{ -2 }]$$
  • $$\displaystyle [{ M }^{ -1 }{ L }^{ 2 }{ T }^{ 2 }]$$
  • $$\displaystyle [{ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }]$$
  • $$\displaystyle\ [{ M }^{ 2 }{ L }^{ 2 }{ T }^{ -2 }$$
The pair of quantities that do not have the same dimensions is:
  • Latent heat, specific heat
  • Gravitational force, Coulomb force
  • Kinetic energy of a freely falling body, potential energy of a compressed spring
  • Coefficient of friction, number of molecules in a container
The distance between two places is 25 km. Write the magnitude of the measurement.
  • km
  • distance
  • 25
  • two
Instrument used to measure the temperature is
  • protractor
  • stethoscope
  • thermometer
  • none of these
Count total number of S.F. in $$1.60\, \times\, 10^{- 19}$$ 
  • 3
  • 5
  • 2`
  • 22
What is the dimensional formula of gravitational constant?
  • $$\left [ML^{2} T^{-2}\right ]$$
  • $$\left [ML^{-1} T^{-1}\right ]$$
  • $$\left [M^{-1}L^{3} T^{-2}\right ]$$
  • none of these
The dimensional formula of magnetic flux is
  • $$\left [ML^{0} T^{-2} A^{-1}\right ]$$
  • $$\left [ML^{2} T^{-2} A^{-1}\right ]$$
  • $$\left [ML^{2} T^{-1} A^{3}\right ]$$
  • $$\left [M^{0}L^{-2} T^{-2} A^{-2}\right ]$$
Write the dimensional formula of Force.
  • $$MLT$$
  • $$MLT^{-2}$$
  • $$MLT^2$$
  • None of the above
Which one of the following defines the mass of a body?
  • Total weight of the body
  • Gravitational force exerted by the body
  • Matter contained in the body
  • Gravitational force exerted on the body
  • None of these
Using mass $$(M)$$, length $$(L)$$, time $$(T)$$ and current $$(A) $$as fundamental quantities, the dimensions of permeability are
  • $$\left [M^{-1} L T^{-2} A\right ]$$
  • $$\left [M^{-2} L T^{-2} A^{-1}\right ]$$
  • $$\left [MLT^{-2} A^{-2}\right ]$$
  • $$\left [MLT^{-1} A^{-1}\right ]$$
The relation between force $$F$$ and density $$d$$ is $$F = \dfrac{x}{\sqrt{d}}$$. The dimensions of $$x$$ are
  • $$\left[{L}^{{-1}/{2}}{M}^{{3}/{2}}{T}^{-2}\right]$$
  • $$\left[{L}^{{-1}/{2}}{M}^{{1}/{2}}{T}^{-2}\right]$$
  • $$\left[{L}^{-1}{M}^{{3}/{2}}{T}^{-2}\right]$$
  • $$\left[{L}^{-1}{M}^{{1}/{2}}{T}^{-2}\right]$$
Dimensions of electrical resistance are
  • $$\left [ML^{2} T^{-3} A^{-1}\right ]$$
  • $$\left [ML^{2} T^{-3} A^{-2}\right ]$$
  • $$\left [ML^{3} T^{-3} A^{-2}\right ]$$
  • $$\left [ML^{-1} L^{3} T^{3} A^{2}\right ]$$
The dimensional formula for torque is
  • $$ML^{2} T^{-2}$$
  • $$ML^{-1} T^{-1}$$
  • $$L^{2} T^{-1}$$
  • $$M^{2} T^{-2} K^{-1}$$
Using mass ($$M$$), length ($$L$$), time ($$T$$) and current ($$A$$) as fundamental quantities, the dimensional formula of permittivity is
  • $$\left [ML^{-2}T^{2} A\right ]$$
  • $$\left [M^{-1} L^{-3}T^{4} A^{2}\right ]$$
  • $$\left [MLT^{-2} A\right ]$$
  • $$\left [ML^{2}T^{-1} A^{2}\right ]$$
The dimensional formula of farad is
  • $$\left [M^{-1} L^{-2} TQ\right ]$$
  • $$\left [M^{-1} L^{-2} T^{2} Q^{2}\right ]$$
  • $$\left [M^{-1} L^{-2} TQ^{2}\right ]$$
  • $$\left [M^{-1} L^{-2} T^{2}Q\right ]$$
What is the dimensions of impedance?
  • $$[ML^{2} T^{-3} I^{-2}]$$
  • $$[M^{-1}L^{-2} T^{3} I^{2}]$$
  • $$[ML^{3} T^{-3} I^{-2}]$$
  • $$[M^{-1}L^{-3} T^{3} I^{2}]$$
The comparison of an unknown quantity with a known constant quantity is known as :
  • Unit
  • Scale
  • Magnitude
  • Measurement
On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between.
  • $$\displaystyle \frac { 290 }{ 12.5 } $$ and $$\displaystyle \frac { 290 }{ 11.5 } $$
  • $$\displaystyle \frac { 295 }{ 12 } $$ and $$\displaystyle \frac { 285 }{ 11.5 } $$
  • $$\displaystyle \frac { 285 }{ 12 } $$ and $$\displaystyle \frac { 295 }{ 12 } $$
  • $$\displaystyle \frac { 285 }{ 12.5 } $$ and $$\displaystyle \frac { 295 }{ 11.5 } $$
  • $$\displaystyle \frac { 295 }{ 12.5 } $$ and $$\displaystyle \frac { 285 }{ 11.5 } $$
The dimensions of Stefan's constant are 
  • $$[M^0LT^{-3}K^{-4}]$$
  • $$[MLT^{-3}K^{-3}]$$
  • $$[ML^2T^{-3}K^{-4}]$$
  • $$[ML^0T^{-3}K^{-4}]$$
Dimensions of coefficient of viscosity is
  • $$\left [MT^{2}\right ]$$
  • $$\left [ML^{-3} T^{-4}\right ]$$
  • $$\left [ML^{-1} T^{-2}\right ]$$
  • $$\left [ML^{-1} T^{-1}\right ]$$
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be
  • $$[ML^2T^{-3}I^{-1}]$$
  • $$[ML^2T^{-2}]$$
  • $$[ML^2T^{-1}I^{-1}]$$
  • $$[ML^2T^{-3}I^{-2}]$$
The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is
  • Zero
  • $$-1$$
  • $$\dfrac{5}{3}$$
  • $$1$$
The dimension of angular momentum is
  • $$[M^{0}L^{1}T^{-1}]$$
  • $$[M^{1}L^{2}T^{-2}]$$
  • $$[M^{1}L^{2}T^{-1}]$$
  • $$[M^{2}L^{1}T^{-2}]$$
The physical quantity which has the dimensional formula $$\displaystyle \left[ { M }^{ }{ T }^{ -3 } \right] $$ is:
  • Surface tension
  • Density
  • Solar constant
  • Compressibility
If accuracy of weighing machine is better than 1/2 percent, a student record his own mass. Choose the option that explains the recording most accurately.
  • 6.43 kg
  • 60 kg
  • 64.3 kg
  • 600kg
  • 643 kg
Ampere-hour is the unit of
  • Quantity of charge
  • Potential
  • Energy
  • Current
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