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question_answer1)
Young's modulus of a material has the same unit as
A)
pressure done
clear
B)
strain done
clear
C)
compressibility done
clear
D)
force done
clear
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question_answer2)
Unit of magnetic moment is
A)
\[ampere-metr{{e}^{2}}\] done
clear
B)
\[ampere-metre\] done
clear
C)
\[weber-metr{{e}^{2}}\] done
clear
D)
\[weber/metre\] done
clear
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question_answer3)
Unit of moment of inertia in MKS system is
A)
\[kg\times c{{m}^{2}}\] done
clear
B)
\[kg/c{{m}^{2}}\] done
clear
C)
\[kg\times {{m}^{2}}\] done
clear
D)
\[joule\times m\] done
clear
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question_answer4)
The nuclear cross-section is measured in barn, it is equal to
A)
\[{{10}^{-20}}{{m}^{2}}\] done
clear
B)
\[{{10}^{-30}}{{m}^{2}}\] done
clear
C)
\[{{10}^{-28}}{{m}^{2}}\] done
clear
D)
\[{{10}^{-14}}{{m}^{2}}\] done
clear
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question_answer5)
Universal time is based on
A)
rotation of the earth on its axis done
clear
B)
earth's orbital motion around the sun done
clear
C)
vibrations of cesium atom done
clear
D)
oscillations of quartz crystal done
clear
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question_answer6)
Which relation is wrong?
A)
1 calorie = 4.18 joule done
clear
B)
\[1A={{10}^{-10}}m\] done
clear
C)
\[1\,\,MeV=1.6\times {{10}^{-13}}joule\] done
clear
D)
\[1\,\,newton={{10}^{-5}}\,dyne\] done
clear
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question_answer7)
Number of fundamental units in SI system is
A)
4 done
clear
B)
7 done
clear
C)
3 done
clear
D)
5 done
clear
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question_answer8)
Unit of surface tension is
A)
\[N{{m}^{-1}}\] done
clear
B)
\[N{{m}^{-2}}\] done
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C)
\[{{N}^{2}}{{m}^{-1}}\] done
clear
D)
\[N{{m}^{-3}}\] done
clear
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question_answer9)
One second is defined to be equal to
A)
1650763.73 periods of the Krypton clock done
clear
B)
652189.63 periods of the Krypton clock done
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C)
1650763.73 periods of the Cesium clock done
clear
D)
9192631770 periods of the Cesium clock done
clear
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question_answer10)
One \[Wb/{{m}^{2}}\]is equal to
A)
\[{{10}^{4}}\]gauss done
clear
B)
\[4\pi \times {{10}^{-3}}\] gauss done
clear
C)
\[{{10}^{2}}\] gauss done
clear
D)
\[{{10}^{-4}}\] gauss done
clear
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question_answer11)
The dimensions of electric potential are:
A)
\[[M{{L}^{2}}{{T}^{-2}}{{Q}^{-1}}]\] done
clear
B)
\[[ML{{T}^{-2}}{{Q}^{-1}}]\] done
clear
C)
\[[M{{L}^{2}}{{T}^{-1}}Q]\] done
clear
D)
\[[M{{L}^{2}}{{T}^{-2}}Q]\] done
clear
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question_answer12)
The dimensions of electrical permittivity are
A)
\[[{{A}^{2}}{{M}^{-1}}{{L}^{-3}}{{T}^{4}}]\] done
clear
B)
\[[{{A}^{2}}{{M}^{-1}}{{L}^{-3}}{{T}^{0}}]\] done
clear
C)
\[[A{{M}^{-1}}{{L}^{-3}}{{T}^{4}}]\] done
clear
D)
\[[{{A}^{2}}{{M}^{0}}{{L}^{-3}}{{T}^{4}}]\] done
clear
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question_answer13)
The dimensions of Reynold's constant are
A)
\[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\] done
clear
B)
\[[M{{L}^{-1}}{{T}^{-1}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[M{{L}^{-2}}{{T}^{-2}}]\] done
clear
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question_answer14)
The dimensional formula for angular momentum is
A)
\[[{{M}^{0}}{{L}^{2}}{{T}^{-2}}]\] done
clear
B)
\[[M{{L}^{2}}{{T}^{-1}}]\] done
clear
C)
\[[ML{{T}^{-1}}]\] done
clear
D)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
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question_answer15)
The dimensional formula of torque is
A)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
B)
\[[ML{{T}^{-2}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[M{{L}^{-2}}{{T}^{-2}}]\] done
clear
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question_answer16)
The dimensional formula of pressure is
A)
\[[ML{{T}^{-2}}]\] done
clear
B)
\[[M{{L}^{-1}}{{T}^{2}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[ML{{T}^{2}}]\] done
clear
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question_answer17)
The dimensional formula for permeability |i is given by
A)
\[[ML{{T}^{-2}}{{A}^{-2}}]\] done
clear
B)
\[[{{M}^{0}}{{L}^{1}}T]\] done
clear
C)
\[[{{M}^{0}}{{L}^{2}}{{T}^{-1}}{{A}^{2}}]\] done
clear
D)
None of these done
clear
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question_answer18)
The dimensions of gravitational constant G are
A)
\[[ML{{T}^{-2}}]\] done
clear
B)
\[[M{{L}^{3}}{{T}^{-2}}]\] done
clear
C)
\[[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\] done
clear
D)
\[[{{M}^{-1}}L{{T}^{-2}}]\] done
clear
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question_answer19)
Which of the following is a dimensional constant?
A)
Refractive index done
clear
B)
Poissons ratio done
clear
C)
Strain done
clear
D)
Gravitational constant done
clear
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question_answer20)
The force F on a sphere of radius a moving in a medium with velocity v is given by\[F=6\pi \eta av\] The dimensions of \[\eta \] are
A)
\[[M{{L}^{-3}}]\] done
clear
B)
\[[M{{L}^{-2}}]\] done
clear
C)
\[[M{{L}^{-1}}]\] done
clear
D)
\[[M{{L}^{-1}}{{T}^{-1}}]\] done
clear
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question_answer21)
The dimensions of Planck's constant are same as
A)
energy done
clear
B)
power done
clear
C)
momentum done
clear
D)
angular momentum done
clear
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question_answer22)
If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of \[L\,\,{{i}^{2}}\] are
A)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
B)
\[[ML{{T}^{-2}}]\] done
clear
C)
\[[{{M}^{2}}{{L}^{2}}{{T}^{-2}}]\] done
clear
D)
Not expressible in M, L, T done
clear
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question_answer23)
The dimensions of potential energy are
A)
\[[ML{{T}^{-1}}]\] done
clear
B)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
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question_answer24)
The dimensions of shear modulus are
A)
\[[ML{{T}^{-1}}]\] done
clear
B)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[ML{{T}^{-2}}]\] done
clear
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question_answer25)
Dimensions of \[\frac{1}{{{\mu }_{0}}{{\varepsilon }_{0}}}\], where symbols have their usual meaning, are
A)
\[[{{M}^{0}}{{L}^{-1}}T]\] done
clear
B)
\[[{{M}^{0}}{{L}^{-2}}{{T}^{2}}]\] done
clear
C)
\[[{{M}^{0}}{{L}^{2}}{{T}^{-2}}]\] done
clear
D)
\[[{{M}^{0}}L{{T}^{-1}}]\] done
clear
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question_answer26)
If the dimensions of a physical quantity are given by\[{{M}^{a}}{{L}^{b}}{{T}^{c}}\], then the physical quantity will be
A)
velocity if a = 1, b=0,c=- 1 done
clear
B)
acceleration if a=1, b=1, c=-2 done
clear
C)
force if a=0, b=-1, c=-2 done
clear
D)
pressure if a= 1, b=-1, c=-2 done
clear
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question_answer27)
The unit of the Stefan-Boltzmann's constant is
A)
\[W/{{m}^{2}}{{K}^{4}}\] done
clear
B)
\[W/{{m}^{2}}\] done
clear
C)
\[W/{{m}^{2}}K\] done
clear
D)
\[W/{{m}^{2}}{{K}^{2}}\] done
clear
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question_answer28)
The unit of permittivity of free space, \[{{\varepsilon }_{0}}\]is
A)
\[coulom{{b}^{2}}/{{(newton-metre)}^{2}}\] done
clear
B)
coulomb/newton-metre done
clear
C)
\[newton-mete{{r}^{2}}/coulom{{b}^{2}}\] done
clear
D)
\[coulom{{b}^{2}}/newton-metr{{e}^{2}}\] done
clear
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question_answer29)
Unit of Stefan's constant is
A)
\[J\,\,{{s}^{-1}}\] done
clear
B)
\[J\,\,{{m}^{-2}}{{s}^{-1}}{{K}^{-4}}\] done
clear
C)
\[J\,\,{{m}^{-2}}\] done
clear
D)
\[J\,s\] done
clear
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question_answer30)
Unit of self inductance is
A)
\[\frac{newton-\text{second}}{coulomb\times ampere}\] done
clear
B)
\[\frac{joule/coulomb/\text{second}}{ampere}\] done
clear
C)
\[\frac{volt\times ,metre}{coulomb}\] done
clear
D)
\[\frac{newton\times metre}{ampere}\] done
clear
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question_answer31)
The unit of absolute permittivity is
A)
\[Fm\,\,(farad-metre)\] done
clear
B)
\[F{{m}^{-1}}(farad/metre)\] done
clear
C)
\[F{{m}^{-2}}(farad/metr{{e}^{2}})\] done
clear
D)
F (farad) done
clear
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question_answer32)
The dimensional formula for magnetic flux is
A)
\[[M{{L}^{2}}{{T}^{-2}}{{A}^{-1}}]\] done
clear
B)
\[[M{{L}^{3}}{{T}^{-2}}{{A}^{-2}}]\] done
clear
C)
\[[{{M}^{0}}{{L}^{-2}}{{T}^{2}}{{A}^{-2}}]\] done
clear
D)
\[[M{{L}^{2}}{{T}^{-1}}{{A}^{2}}]\] done
clear
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question_answer33)
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, length L, time T and current I, would be
A)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
B)
\[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\] done
clear
C)
\[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\] done
clear
D)
\[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\] done
clear
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question_answer34)
The dimensions of k in the equation W\[=\frac{1}{2}\,\,k{{x}^{2}}\] is
A)
\[[M{{L}^{0}}{{T}^{-2}}]\] done
clear
B)
\[[{{M}^{0}}L{{T}^{-1}}]\] done
clear
C)
\[[ML{{T}^{-2}}]\] done
clear
D)
\[[M{{L}^{0}}{{T}^{-1}}]\] done
clear
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question_answer35)
Dimensions of capacitance are
A)
\[[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]\] done
clear
B)
\[[ML{{T}^{-3}}{{A}^{-1}}]\] done
clear
C)
\[[M{{L}^{2}}{{T}^{-3}}{{A}^{-1}}]\] done
clear
D)
\[[{{M}^{-1}}{{L}^{-2}}{{T}^{3}}{{A}^{-1}}]\] done
clear
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question_answer36)
If L, C, and R denote the inductance, capacitance and resistance respectively, the dimensional formula for\[{{C}^{2}}LR\] is
A)
\[[M{{L}^{2}}{{T}^{-1}}{{I}^{0}}]\] done
clear
B)
\[[{{M}^{0}}{{L}^{0}}{{T}^{3}}{{I}^{0}}]\] done
clear
C)
\[[{{M}^{-1}}{{L}^{-2}}{{T}^{6}}{{I}^{2}}]\] done
clear
D)
\[[{{M}^{0}}{{L}^{-1}}\,\,{{T}^{0}}]\] done
clear
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question_answer37)
In the relation \[x=\cos (\omega t+kx)\], the dimension(s) of\[\omega \]is/are
A)
\[[{{M}^{0}}LT]\] done
clear
B)
\[[{{M}^{0}}{{L}^{-1}}{{T}^{0}}]\] done
clear
C)
\[[{{M}^{0}}{{L}^{0}}{{T}^{-1}}]\] done
clear
D)
\[[{{M}^{0}}L{{T}^{-1}}]\] done
clear
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question_answer38)
The dimensions of coefficient of self inductance are
A)
\[[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\] done
clear
B)
\[[M{{L}^{2}}{{T}^{-2}}{{A}^{-1}}]\] done
clear
C)
\[[ML{{T}^{-2}}{{A}^{-2}}]\] done
clear
D)
\[[ML{{T}^{-2}}{{A}^{-1}}]\] done
clear
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question_answer39)
Which one of the following represents the correct dimensions of the coefficient of viscosity?
A)
\[[M{{L}^{-1}}{{T}^{-1}}]\] done
clear
B)
\[[ML{{T}^{-1}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[M{{L}^{-2}}{{T}^{-2}}]\] done
clear
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question_answer40)
Out of the following pair, which one does not have identical dimensions?
A)
Impulse and momentum done
clear
B)
Angular momentum and planck's constant done
clear
C)
Work and torque done
clear
D)
Moment of inertia and moment of a force (towards north-west) done
clear
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question_answer41)
The dimensions of magnetic field in M, L, T and C (coulomb) is given as
A)
\[[ML{{T}^{-1}}{{C}^{-1}}]\] done
clear
B)
\[[M{{T}^{2}}{{C}^{-2}}]\] done
clear
C)
\[[M{{T}^{-1}}{{C}^{-1}}]\] done
clear
D)
\[[M{{T}^{-2}}{{C}^{-1}}]\] done
clear
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question_answer42)
If L, C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency?
A)
\[\frac{1}{RC}\] done
clear
B)
\[\frac{R}{L}\] done
clear
C)
\[\frac{1}{\sqrt{LC}}\] done
clear
D)
\[\frac{C}{L}\] done
clear
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question_answer43)
The dimensions of \[\left( \frac{1}{2} \right)\,\,{{\varepsilon }_{0}}{{E}^{2}}\](\[{{\varepsilon }_{0}}\]permittivity of free space, E electric field) are
A)
\[[ML{{T}^{-1}}]\] done
clear
B)
\[[M{{L}^{2}}{{T}^{-2}}]\] done
clear
C)
\[[M{{L}^{-1}}{{T}^{-2}}]\] done
clear
D)
\[[M{{L}^{2}}{{T}^{-1}}]\] done
clear
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question_answer44)
A cube has a side of length \[1.2\times {{10}^{-2}}\,\,m\] Calculate its volume
A)
\[1.7\times {{10}^{-6}}\,\,{{m}^{3}}\] done
clear
B)
\[1.73\times {{10}^{-6}}\,\,{{m}^{3}}\] done
clear
C)
\[1.70\times {{10}^{-6}}\,\,{{m}^{3}}\] done
clear
D)
\[1.732\times {{10}^{-6}}\,\,{{m}^{3}}\] done
clear
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question_answer45)
Let\[[{{\in }_{0}}]\]denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:
A)
\[{{\in }_{0}}=[{{M}^{-1}}{{L}^{-3}}{{T}^{2}}A]\] done
clear
B)
\[{{\in }_{0}}=[{{M}^{1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}]\] done
clear
C)
\[{{\in }_{0}}=[{{M}^{1}}{{L}^{2}}{{T}^{1}}{{A}^{2}}]\] done
clear
D)
\[{{\in }_{0}}=[{{M}^{1}}{{L}^{2}}{{T}^{1}}A]\] done
clear
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question_answer46)
If length of pendulum is increased by 2%. The time period will
A)
Increases by 1% done
clear
B)
Decreases by 1% done
clear
C)
Increases by 2% done
clear
D)
Decreases by 2% done
clear
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question_answer47)
The S.I. unit of universal gas constant is
A)
\[Watt\,\,K-1\,\,mol-1\] done
clear
B)
\[NK-1\,\,mol\,\,-1\] done
clear
C)
\[JK-1\,\,mol\,\,-1\] done
clear
D)
\[erg\,\,K-1\,\,mol\,\,-1\] done
clear
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question_answer48)
Which of the following is a possible dimensionless quantity?
A)
Velocity gradient done
clear
B)
Pressure gradient done
clear
C)
Displacement gradient done
clear
D)
Force gradient done
clear
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question_answer49)
The dimensional formula of couple
A)
\[M{{L}^{-2}}{{T}^{-2}}\] done
clear
B)
\[ML{{T}^{-1}}\] done
clear
C)
\[M{{L}^{-1}}{{T}^{-1}}\] done
clear
D)
\[M1L1{{T}^{-2}}\] done
clear
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question_answer50)
On the basis of dimensional equation, the maximum number of unknown that can be found, is
A)
one done
clear
B)
two done
clear
C)
three done
clear
D)
four done
clear
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