CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 6 - MCQExams.com

The correct dimensional formula for impulse is given by
  • $$ML^2T^{-2}$$
  • $$MLT^{-1}$$
  • $$ML^2T^{-1}$$
  • $$MLT^{-2}$$
Mass has both magnitude and direction.
  • True
  • False
Select the correct alternative
A metre ruler is graduated in:
  • $$m$$
  • $$cm$$
  • $$mm$$
  • $$km$$
The expression $$[ML^2T^{-2}]$$ represents
  • Pressure
  • Kinetic energy
  • Momentum
  • Power
The dimensions of pressure are
  • $$MLT^{-2}$$
  • $$ML^{-2}T^{2}$$
  • $$ML^{-1}T^{-2}$$
  • $$MLT^{2}$$
$$MLT^{-1}$$ represents the dimensional formula of
  • Power
  • Momentum
  • Force
  • Couple
The dimensional formula of wave number is
  • $$M^0L^0T^{-1}$$
  • $$M^0L^{-1}T^{0}$$
  • $$M^{-1}L^{-1}T^{0}$$
  • $$M^0L^0T^{0}$$
The foundations of dimensional analysis were laid down by
  • Gallileo
  • Newton
  • Fourier
  • Joule
The dimensions of stress are equal to
  • Force
  • Pressure
  • Work
  • $$\dfrac{1}{Pressure}$$
Dimensional formula of heat energy is
  • $$ML^2 T^{-2}$$
  • $$ML T^{-1}$$
  • $$M^0L^0 T^{-2}$$
  • None of these
Dimensions of frequency are
  • $$M^0L^{-1}T^0$$
  • $$M^0L^0T^{-1}$$
  • $$M^0L^0T$$
  • $$MT^{-2}$$
Dimensions of kinetic energy are
  • $$ML^2T^{-2}$$
  • $$M^2LT^{-1}$$
  • $$ML^2T^{-1}$$
  • $$ML^3T^{-1}$$
Dimensions of time in power are
  • $$T^{-1}$$
  • $$T^{-2}$$
  • $$T^{-3}$$
  • $$T^{-0}$$
Match the physical quantities given in Column I with suitable dimensions expressed in Column II.
Column IColumn II
a) Angular momentum1) $${ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }$$
b) Torque2) $${ MLT }^{ -2 }$$
c) Gravitational constant3) $${ ML }^{ 2 }{ T }^{ -2 }$$
d) Tension 4) $${ ML }^{ 2 }{ T }^{ -1 }$$
  • a-1, b-3, c-4, d-2
  • a-1, b-4, c-3 d-2
  • a-4, b-3, c-1, d-2
  • a-1, b-2, c-4, d-3
Which is not a dimensionless quantity is :
  • Moment of Momentum
  • Moment of force
  • Moment of inertia
  • All of the above
A physicist performs an experiment and takes $$200$$ readings. He repeats the same experiment and now takes $$800$$ readings. By doing so :
  • the probable error remains same.
  • the probable error is four times.
  • the probable error is halved.
  • the probable error is reduced by a factor $$\dfrac{1}{4}$$.
Consider the following two statements A and B. Identify the correct answer.
A) The quantity $$\dfrac { { e }^{ 2 } }{ { \epsilon  }_{ 0 }ch } $$ is dimensionless.
B) $$\dfrac { 1 }{ \sqrt { { \mu  }_{ 0 }{ \epsilon  }_{ 0 } }  } $$ has the dimensions of velocity and is numerically equal of velocity of light.
  • A is true but B is false
  • B is true but A is false
  • Both A and B are true
  • Both A and B are false
Choose the false statement from given statements.
I. Relative permittivity is dimensionless variable.
II. Angular displacement has neither units nor dimensions.
III. Refractive index is dimensionless variable.
IV. Permeability of vacuum is dimensional constant.
  • Only I and II
  • Only II
  • Only III
  • Only IV
The dimensional formula for strain energy density is:
  • $$M^{1}L^{2}T^{-3}$$
  • $$M^{1}L^{2}T^{3}$$
  • $$M^{1}L^{-1}T^{-2}$$
  • $$M^{1}L^{2}T^{-2}$$
Some physical constants are given in List - I and their dimensional formulae are given in List - II. Match the following :
List - IList - II
A) Planck's constante) $$\left[ { ML }^{ -1 }{ T }^{ -2 } \right] $$
B) Gravitational constantf) $$\left[ { ML }^{ 1 }{ T }^{ -1 } \right] $$
C) Bulk modulusg) $$\left[ { ML }^{ 2 }{ T }^{ -1 } \right] $$
D) Linear momentumh) $$\left[ { M}^{ -1 }{ L }^{ 3 }{ T }^{ -2 } \right] $$
  • A-h, B-g, C-e ,D-f
  • A-f, B-e, C-g, D-h
  • A-g, B-f, C-e, D-h
  • A-g, B-h, C-e, D-f
The pair of physical quantities that have same dimensions are:
a) Reynold's number and coefficient of friction
b) Latent heat and gravitational potential
c) Curie and frequency of light wave
d) Planck constant and torque
  • b and c are correct
  • a and b are correct
  • a, b and c are correct
  • all are correct
Which of the following pairs have same dimensions.
a) Torque and work
b) Angular momentum and work
c) Energy and Youngs modulus
d) Light year and wavelength
  • a and b are correct
  • b and c are correct
  • c and d are correct
  • d and a are correct
Names of units of some physical quantities are given in List - I and their dimensional formulae are given in List - II. Match the correct pair of the lists.
List - IList - II
a) Pa-se) $$\left[ { L }^{ 2 }{ T }^{ -2 }{ K }^{ -1 } \right] $$
b) $${ NmK }^{ -1 }$$f) $${ MLT }^{ -3 }{ K }^{ -1 }$$
c) $${ J kg }^{ -1 }{ k }^{ -1 }$$g) $${ ML }^{ -1 }{ T }^{ -1 }$$
d) $${ Wm }^{ -1 }{ k }^{ -1 }$$h) $$\left[ { ML }^{ 2 }{ T }^{ -2 }{ K }^{ -1 } \right] $$
  • a-h, b-g, c-e, d-f
  • a-g, b-f, c-e, d-h
  • a-g, b-e, c-h, d-f
  • a-g, b-h, c-e, d-f
Watt per meter kelvin is the unit of
  • Stress
  • Period of revolution of satellite
  • Angular displacement
  • Coefficient of thermal conductivity
Match List I with List II and select the correct answer.
List - IList - II
A) Spring constantI) [$${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$$]
B) PascalII) [$${ M }^{ 0 }{ L }^{ 0 }{ T }^{ -1 }$$]
C) HertzIII)[ $${ M }^{ 1 }{ L }^{ 0 }{ T }^{ -2 }$$]
D) JouleIV) [$${ M }^{ 1 }{ L }^{ -1 }{ T }^{ -2 }$$]
  • A-III, B-IV, C-II, D-I
  • A-IV, B-III, C-I, D-II
  • A-IV, B-III, C-II, D-I
  • A-III, B-IV, C-I, D-II
Study the following.
List - IList - II
a) Same negative dimensions of massI) Pressure, Rydberg constant
b) Same negative dimensions of lengthII) Mangnetic induction field, Potential
c) Same dimensionsIII) Capacity, Universal gravitational constant
d) Same dimension of currentIV) Energy density, Surface tension
  • a-III, b-I, c-IV, d-II
  • a-III, b-IV, c-I, d-II
  • a-I, b-II, c-III, d-IV
  • a-II, b-I, c-IV, d-III
Match the physical quantities given in Column I with suitable dimensions expressed in Column II.
Column IColumn II
a) Angular momentumg) $${ ML }^{ 2 }{ T }^{ -2 }$$
b) Latent heath)  $${ ML }^{ 2 }{ Q }^{ -2 }$$
c) Torquei)  $${ ML }^{ 2 }{ T }^{ -1 }$$
d) Capacitanej)  $${ ML }^{ 3 }{ T }^{ -1 }{ Q }^{ -2 }$$
e) Inductancek)  $${ M }^{ -1 }{ L }^{ -2 }{ T }^{ 2 }{ Q }^{ 2 }$$
f) Resistivityl)  $${ L }^{ 2 }{ T }^{ -2 }$$
  • a-i, b-l, c-g, d-k, e-h, f-j
  • a-l, b-i, c-k, d-g, e-j, f-h
  • a-i, b-l, c-h, d-j, e-g, f-k
  • a-h, b-j, c-g, d-k, e-i, f-l
The correct order in which the dimensions of length increases in the following physical quantities is:
a) permittivity
b) resistance
c) magnetic permeability
d) stress
  • a, b, c, d
  • d, c, b, a
  • a, d, c, b
  • c, b, d, a
The dimensional formula for pressure gradient is :
  • $${ ML }^{ -1 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ -2 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ -1 }{ T }^{ -3 }$$
L, C and R represents inductance, capacitance and resistance respectively. The combinations that have the dimensions of frequency are :
  • $$\dfrac { 1 }{ CR } $$
  • $$\dfrac { R }{ L } $$
  • $$\dfrac { 1 }{ \sqrt { LC } } $$
  • All of the above
The dimensions of resistivity in terms of M, L, T and Q, where Q stands for the dimensions of charge is :
  • $${ ML }^{ 3 }{ T }^{ -1 }{ Q }^{ -2 }$$
  • $${ ML }^{ 3 }{ T }^{ -2 }{ Q }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -1 }{ Q }^{ -1 }$$
  • $${ MLT }^{ -1 }{ Q }^{ -1 }$$
Dimension of specific heat is:
  • $${ MLT }^{ -1 }{ K }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -2 }{ K }^{ -1 }$$
  • $${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -2 }{ K }^{ -1 }$$
  • $${ M^{-1}L }^{ 2 }{ T }^{ -2 }{ K }^{ -1 }$$
The dimensional formula for latent heat is :
  • $${ M^1LT }^{ -2 }$$
  • $${ M^1L }^{ 2 }{ T }^{ -2 }$$
  • $${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -2 }$$
  • $${ M^1L^1T }^{ -1 }$$
Match the following
Column-IColumn-II
A. PressureE. $$ML^{-1} T^{-2}$$
B. StressF. $$Nm^{-2}$$
C. Energy per unit
volume
G.  $$M^{0} L^{0} T^{0}$$
D. StrainH. $$Jm^{-3}$$
  • A - E, F, H : B - E, F, H : C - E, F, H : D - G
  • A - E, F : B - E,H : C - E, F, H : D - G
  • A - E, H : B - E, F : C - E, F, H : D - G
  • A - E, F, H : B - E, F : C - E, F, H : D - G
If $$L$$ is the inductance, $$'i'$$ is current in the circuit, $$\dfrac { 1 }{ 2 } { Li }^{ 2 }$$ has the dimensions of:
  • Work
  • Power
  • Pressure
  • Force

Dimensional formula of magnetic field of induction (B) is:

Given Force on a charged particle is given by: $$F = qvBsin \theta$$ where $$\theta$$ is angle between velocity and magnetic field.
  • $$ML^{2}T^{2}I^{-1}$$
  • $$MLT^{2}I^{-1}$$
  • $$MT^{-2}I^{-1}$$
  • $$MT^{2}I^{1}$$
The units of force, velocity and energy are 100 dyne, 10 $${cm s }^{ -1 }$$ and 500 erg respectively. The units of mass, length and time are:
  • 5 g, 5 cm, 5 s
  • 5 g, 5 cm, 0.5 s
  • 0.5 g, 5 cm, 5 s
  • 5 g, 0.5cm, 5 s
Resistance of an ideal Ammeter is zero and that of an ideal Voltmeter is infinite. A Voltmeter and an Ammeter are connected in the circuit as shown. Resistance of ammeter is say $$R/10$$ and that of Voltmeter is $$10 R$$. Then:

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  • Percentage error in the reading of Ammeter (compared to that measured, if both Ammeter and voltmeter were ideal) is $$1.0$$%.
  • Percentage error in the reading of voltmeter is $$10.0$$%
  • Both (a) and (b) are correct
  • Both (a) and (b) are wrong
The unit of an electrical parameter whose formula is $$[M^{1}L^{2}T^{-3}A^{-2}]$$ is:
  • ohm
  • ampere
  • volt
  • newton
If $$e, { \epsilon}_{0}, h$$ and $$c$$ respectively represents electric charge, permittivity of free space, Planck's constant and speed of light. The dimension of $$\dfrac{e^2 }{ 4\pi \epsilon_0 hc} $$ is :
  • $$[M^0 L^0 T^0] $$
  • $$[M^1 L^0 T^0] $$
  • $$[M^0 L^1 T^0] $$
  • $$[M^0 L^0 T^1] $$
SI unit of a physical quantity whose dimensional formula is $${ M }^{ -1 }{ L }^{ -2 }{ T }^{ 4 }{ A }^{ 2 }$$ is :
  • $$ohm$$
  • $$volt$$
  • $$siemen$$
  • $$farad$$
The product of energy and time is called action. The dimensional formula for action is same as that for
  • $$force \times  velocity$$
  • $$impulse \times  distance$$
  • $$power$$
  • $$angular \times  energy$$
A highly rigid cubical block $$A$$ of small mass $$M$$ and side $$L$$ is fixed rigidly on to another cubical block of same dimensions and of low modulus of rigidity $$\eta$$ such that the lower face of $$A$$ completely covers the upper face $$B$$. The lower face of $$B$$ is rigidly held on a horizontal surface. A small force $$F$$ is applied perpendicular to one of the side face of $$A$$. After the force is withdrawn, block $$A$$ executes small oscillations, the time period of which is given by :
  • $$2\pi \sqrt{M\eta L}$$
  • $$2\pi \sqrt{\dfrac{M\eta}{ L}}$$
  • $$2\pi \sqrt{\dfrac{ML}{\eta}}$$
  • $$2\pi \sqrt{\dfrac{M}{L\eta}}$$
The dimensions of
$$\left ( \mu _{0}\varepsilon _{0} \right )^{-1/2}$$ are:
  • $$\left [ L^{-1}T \right ]$$
  • $$\left [ LT ^{-1}\right ]$$
  • $$\left [ L^{1/2} T^{1/2}\right ]$$
  • $$\left [ L^{1/2} T^{-1/2}\right ]$$
A is a tank filled to its 75% with water, B is a weighing balance and C is a stone hung from a stand. If fig. 1 is correct, what do you expect to be the position of needle in fig. 2?
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A person was weighing $$102.1\  kg$$ last week and gained $$0.28 \ kg$$ this week. His weight as of now is correctly expressed as :
  • $$102.38\  kg$$
  • $$102.3\  kg$$
  • $$102.4\  kg$$
  • $$102\  kg$$
The string of a kite is 100 m long and it makes

an angle of $$60^{0}$$ with the horizontal. If there is no slack in

the string, find the height of the kite from the ground.
  • $$ 50 \sqrt{3} m$$
  • $$ 100 \sqrt{3} m$$
  • $$ 50 \sqrt{2} m$$
  • 100 m
The velocity $$v$$ of a particle at time $$t$$ is given by $$v = at + \frac{b} {t + c}$$, where $$a, b\ and\ c$$ are constants.The dimensions of $$a, b\ and\ c$$ are respectively:
  • LT$$^{-2}$$, L and T
  • L$$^{2}$$, T and LT$$^{2}$$
  • LT$$^{2}$$, LT and L
  • L, LT and T$$^{2}$$
Of the four figures given below, $$x_0$$ is known value of the outcome in an experiment. Which of the following data plot a precise but not an accurate measurement?
The dimension of the ratio of angular momentum to linear momentum is 
  • $$ L^0 $$
  • $$ L^1 $$
  • $$ L^2 $$
  • $$MLT$$
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