CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 2 - MCQExams.com

A pair of physical qunatities having the same dimensional formula are:
  • momentum and impulse
  • momentum and energy
  • energy and pressure
  • force and power
A pair of physical quantities having the same dimensional formula are:
  • Force and Work
  • Work and Energy
  • Force and Torque
  • Work and Power
The physical quantities not having same dimensions are :
  • torque and work
  • momentum and Plancks constant
  • stress and Youngs modulus
  • speed and $$\left( { \mu }_{ 0 }{ \epsilon }_{ 0 } \right) ^{ -1/2 }$$
The dimensional formula for universal gravitational constant is:
  • $${ M }^{ 1 }{ L }^{ 3 }{ T }^{ -2 }$$
  • $${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -2 }$$
  • $${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$$
  • $${ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }$$
Which one of the following represents the correct dimensions of the coefficient of viscosity ?
  • $${ ML }^{ -1 }{ T }^{ 2 }$$
  • $${ MLT }^{ -1 }$$
  • $${ ML }^{ -1 }{ T }^{ -1 }$$
  • $${ ML }^{ -2 }{ T }^{ -2 }$$
Dimensions of $$\dfrac { 1 }{ { \mu  }_{ 0 }{ \epsilon  }_{ 0 } } $$ , where symbols have their usual meaning are :
  • $${ L }^{ -1 }T$$
  • $${ L }^{ 2 }{ T }^{ 2 }$$
  • $${ L }^{ 2 }{ T }^{ -2 }$$
  • $${ LT }^{ -1 }T$$
The pair of physical quantities having the same dimensional formula is:
  • angular momentum and torque
  • torque and strain energy
  • entropy and power
  • power and angular momentum
Dimensional formula of Torque is:
  • $${ MLT }^{ -2 }$$
  • $${ ML }^{ 2 }{ T }^{ -2 }$$
  • $${ ML }^{ 2 }{ T }^{ -3 }$$
  • $${ MLT }^{ -3 }$$
Planck's constant has the dimensions as that of:
  • Energy
  • Power
  • Linear momentum
  • Angular momentum
The dimensional formula $${ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }$$ refers to :
  • Force
  • Power
  • Gravitational constant
  • Energy
The dimensional formula for angular velocity is:
  • $${ M }^{ -1 }{ L }^{ 1 }{ T }^{ 0 }$$
  • $${ M }^{ 0 }{ L }^{ -1 }{ T }^{ -1 }$$
  • $${ M }^{ -1 }{ L }^{ -1 }{ T }^{ 0 }$$
  • $${ M }^{ 0 }{ L }^{ 0 }{ T }^{ -1 }$$
The SI unit of a physical quantity having the dimensional formula of $${ ML }^{ 0 }{ T }^{ -2 }{ A }^{ -1 }$$ is:
  • $$tesla$$
  • $$weber$$
  • $$amp- meter$$
  • $$amp$$- $${ m }^{ 2 }$$
The dimensional formula for impulse is:
  • $${ MLT }^{ -2 }$$
  • $${ MLT }^{ -1 }$$
  • $${ ML }^{ 2 }{ T }^{ -1 }$$
  • $${ M }^{ 2 }{ LT }^{ -1 }$$
The number of significant figures in $$6.023\times { 10 }^{ 23 }$$ is
  • $$4$$
  • $$3$$
  • $$2$$
  • $$23$$
The dimensions of calorie are :
  • $${ ML }^{ 2 }{ T }^{ -2 }$$
  • $${ MLT }^{ -2 }$$
  • $${ ML }^{ 2 }{ T }^{ -1 }$$
  • $${ ML }^{ -2 }{ T }^{ -1 }$$
The correct order in which the dimensions of "length" decreases in the following physical quantities is
a) Coefficient of viscocity 
b) Thermal capacity
c) Escape velocity
d) Density
  • b, c, a, d
  • a, b, c, d
  • c, d, b, a
  • a, d, c, b
Match List I with II and select the correct answer:
List-IList-II
A.Spring constant$${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$$
B.pascal2. $${ M }^{ 0 }{ L }^{ 0 }{ T }^{ -1 }$$
C.hertz3. $${ M }^{ 1 }{ L }^{ 0 }{ T }^{ -2 }$$
D.joule 4.$${ M }^{ 1 }{ L }^{ -1 }{ T }^{ -2 }$$
  • A-3, B-4, C-2, D-1
  • A-4, B-3, C-1, D-2
  • A-4, B-3, C-2, D-1
  • A-3, B-4, C-1, D-2
When the number 0.046508 is reduced to 4 significant figures, then it becomes :
  • $$0.0465$$
  • $$4650.8 \ \times $$ $${ 10 }^{ -5 }$$
  • $$4.651 \times  { 10 }^{ -2 }$$
  • $$4.650 \times  { 10 }^{ -2 }$$
Which of the following pair does not have the same dimensions?
  • Moment of inertia and Torque
  • Linear Momentum and impulse
  • Angular Momentum and Plank's constant
  • Work and internal energy
Let $${ \epsilon}_{0 }$$ denote the permittivity of the vacuum and $$\mu _o$$ is permeability of vacuum.
If M$$=$$mass, L$$=$$length, T$$=$$time and I $$=$$ electric current, then
a) $${ \epsilon}_{0 }={ M }^{ -1 }{ L }^{ -3 }{ T }^{ 2 }{ I }$$
b) $${ \epsilon}_{0 }={ M }^{ -1 }{ L }^{ -3 }{ T }^{ 4 }{ I }^{ 2 }$$
c) $${ \mu}_{0 }={ MLT }^{ -2 }{ I }^{ -2 }$$
d) $${ \epsilon}_{0 }={ ML }^{ 2 }{ T }^{ -1 }I$$
  • a & c are correct
  • b & c are correct
  • c & d are correct
  • d & a are correct
What are the dimensions of $$K=\dfrac { 1 }{ 4\pi { \epsilon  }_{ 0 } } ?$$ (Given, N is the unit of force, with dimensions $$ ML{T}^{-2} $$)
  • $${ C }^{ 2 }{ N }^{ -1 }{ M }^{ -2 }$$
  • $${ NM }^{ 2 }{ C }^{ -2 }$$
  • $${ NM }^{ 2 }{ C }^{ 2 }$$
  • Unitless
According to theory of significant figures the value of $$\sqrt { 3.0 } $$ is:
  • $$1.732$$
  • $$1.7$$
  • $$1.73$$
  • $$1.8$$
The dimensional formula for Areal velocity is :
  • $${ M }^{ 0 }{ L }^{ -2 }{ T }^{ -1 }$$
  • $${ M }^{ 0 }{ L }^{ -2 }{ T }^{ 1 }$$
  • $${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -1 }$$
  • $${ M }^{ 0 }{ L }^{ 2 }{ T }^{ 1 }$$
The number of significant figures in the numbers $$672.9$$ and $$2.520\times { 10 }^{ 7 }$$ are :
  • $$4, 4$$
  • $$3, 4$$
  • $$4, 3$$
  • $$3, 3$$
When $$24.25\times { 10 }^{ 3 }$$ is rounded off to three significant figures, it becomes :
  • 242
  • 243
  • $$244\times { 10 }^{ 2 }$$
  • $$24.2\times { 10 }^{ 3 }$$
Universal gravitational constant is given by $$6.67\times { 10 }^{ -11 }N{ m }^{ 2 }{ kg }^{ -2 }$$. Then the no. of significant figures in it is:
  • $$14$$
  • $$2$$
  • $$3$$
  • $$11$$
When we express the velocity of light, $$30,00,00,000/ ms^{-1}$$, in standard form up to three significant figures, it's value is:
  • $$3\times { 10 }^{ 8 }\ { ms }^{ -1 }$$
  • $$3.00\times { 10 }^{ 8 }\ { ms }^{ -1 }$$
  • $$3\times { 10 }^{ 10}\ { cms }^{ -1 }$$
  • $$3\times { 10 }^{ 6}\ { ms }^{ -1 }$$
If $$'m$$' is the mass of a body, $$'a'$$ is amplitude of vibration, and $$'w '$$ is the angular frequency then  $$\frac { 1 }{ 2 } { ma }^{ 2 }{ w }^{ 2 }$$ has same dimensional formula as :
  • work
  • moment of force
  • energy
  • all the above
The dimension of time in Electric field intensity is :
  • $$-1$$
  • $$-2$$
  • $$-3$$
  • $$3$$
The radius of a sphere is $$5$$ cm. Its volume will be given by (according to the theory of significant figures) :
  • $$523.33\ { cm }^{ 3 }$$
  • $$5.23\ { \times\  { 10 }^{ 2 }cm }^{ 3 }$$
  • $$5.0\ { \times\  { 10 }^{ 2 }cm }^{ 3 }$$
  • $$5\ { \times\  { 10 }^{ 2 }cm }^{ 3 }$$
Two numbers are given as i) 20.96 and ii) 0.0003125. Rounding off above numbers to 3 significant figures will lead to :
  • i) 21.0, ii) 312
  • i) 21.0, ii) 3.12 $$\times{ 10 }^{ -4 }$$
  • i) 2.10, ii) 3.12 $$\times{ 10 }^{ -4 }$$
  • i) 210, ii) 3.12 $$\times{ 10 }^{ -4 }$$
The dimension of magnetic induction in $$M, L, T$$ and $$C$$ (Coloumb) is given as:
  • $${ MT }^{ -1 }{ C }^{ -1 }$$
  • $${ MT }^{ -2 }{ C }^{ -1 }$$
  • $${ MLT }^{ -1 }{ C }^{ -1 }$$
  • $${ MT }^{ 2 }{ C }^{ -2 }$$
$$\left[ { M }^{ 1 }{ L }^{ 2 }{ T }^{ -3 }{ A }^{ -2 } \right] $$is the dimensional formula of :
  • Electric resistance
  • Capacity
  • Electric potential
  • Specific resistance
The ratio $$\dfrac { L }{ R } $$ has the dimensions of:
 [ L:Inductance R:Resistance]
  • Velocity
  • Acceleration
  • Time
  • Force
The physical quantity having dimensions $$2$$ in length is:
  • Power
  • Acceleration
  • Force constant
  • Stress
The fundamental physical quantities that have the same dimension in the dimensional formula of Torque and Angular Momentum are:
  • mass, time
  • time, length
  • mass, length
  • time, mole
The physical quantity which has the dimensional formula $${ M }^{ 1 }{ T }^{ -3 }$$ is:
  • surface tension
  • solar constant
  • density
  • compressibility
The unit of impulse per unit area is same as that of:
  • coefficient of viscosity
  • surface tension
  • bulk modulus
  • none of the above
Given $$M$$ is the mass suspended from a spring of force constant $$k$$. The dimensional formula for $$\left[ M/k \right] ^{ 1/2 }$$ is same as that for:
  • frequency
  • time period
  • velocity
  • wavelength
$$\dfrac { 1 }{ \sqrt { Capacitance\times Inductance }  } $$ has the same unit as:
  • time
  • velocity
  • velocity gradient
  • none of the above
Dimensions of solar constant are:
  • $$\left[ { M }^{ 0 }{ L }^{ 0 }{ T }\right] $$
  • $$\left[ { M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }\right] $$
  • $$\left[ { M }^{ 1 }{ L }^{ -1 }{ T }^{ -2 }\right] $$
  • $$\left[ { M }^{ 1 }{ T }^{ -3 } \right] $$
If the unit of work is $$100J$$, the unit of power is $$1KW$$, the unit of time in second is:
  • $$10^{ -1 }$$
  • $$10$$
  • $$10^{ -2 }$$
  • $$10^{ -3 }$$
According to theory of significant figures $$\left( 2.0 \right) ^{ 10 }$$ is :
  • 1024
  • $$1.024\times { 10 }^{ 10 }$$
  • $$1.0\times { 10 }^{ 3 }$$
  • 1000
Dimensions of '$$ohm$$' are same as that of:
(Given : $$h$$ is Planck's constant and $$e$$ is charge)
  • $$\dfrac { h }{ e } $$
  • $$\dfrac { { h }^{ 2 } }{ e } $$
  • $$\dfrac { h }{ { e }^{ 2 } } $$
  • $$\dfrac { { h }^{ 2 } }{ { e }^{ 2 } } $$
If $$m$$ is the mass, $$Q$$ is the charge and $$B$$ is the magnetic induction, $$\dfrac{m}{BQ}$$ has the same dimensions as :
  • Frequency
  • Time
  • Velocity
  • Acceleration
The length, breadth and thickness of a rectangular lamina are $$1.024\ m$$, $$0.56\ m$$, and $$0.0031\ m$$. The volume, in $${ m }^{ 3 }$$, is:
  • $${ 1.8\times 10 }^{ -3 }$$
  • $${ 1.80\times 10 }^{ -3 }$$
  • $${ 0.180\times 10 }^{ -4 }$$
  • $$0.00177$$
Dimensions of $$\dfrac { L }{ RCV } $$ are:
  • $${ A }^{ -1 }$$
  • $${ A }^{ -2 }$$
  • $$A$$
  • $${ A }^{ 2 }$$
The edge of a cube is a $$=1.2\times 10^{-2}m$$. Then its volume will be recorded as :
  • $$1.7\times 10^{-6} m^3$$
  • $$1.70\times 10^{-6} m^3$$
  • $$1.70\times 10^{-7} m^3$$
  • $$1.78\times 10^{-6} m^3$$
The physical quantity which has the dimensional formula as that of $$\dfrac { energy }{ mass \times length } $$ is:
  • Force
  • Power
  • Pressure
  • Acceleration
If the unit of mass is $$\dfrac { 1 }{ 2 } kg$$ and that of length is $$2$$ m and the unit of time is one second, the unit of pressure is:
  • 2 pascal
  • 0.5 pascal
  • 0.25 pascal
  • 1.0 pascal
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