Railways Basic Science and Engineering Units and Measurements / मात्रक और मापन Question Bank

done Unit and Measurements Total Questions - 50

• 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 clear
  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 clear
  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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