Solved papers for NEET Physics Mathematical Tools, Units & Dimensions NEET PYQ-Mathematical Tools, Units and Dimensions

done NEET PYQ-Mathematical Tools, Units and Dimensions Total Questions - 27

• question_answer1) The dimensional formula for magnetic flux is: [AIPMT 1999]
  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)
  \[[M{{L}^{2}}{{T}^{-2}}{{A}^{2}}]\]
  done clear
  View Answer play_arrow

• question_answer2) A pair of physical quantities having same dimensional formula is:                 [AIPMT 2000]
  A)
  force and torque
  done clear
  B)
  work and energy
  done clear
  C)
  force and impulse                                   
  done clear
  D)
  linear momentum and angular momentum
  done clear
  View Answer play_arrow

• question_answer3) Planck's constant has the dimensions of: [AIPMT 2001]
  A)
  linear momentum
  done clear
  B)
  angular momentum
  done clear
  C)
  energy              
  done clear
  D)
  power
  done clear
  View Answer play_arrow

• question_answer4) The unit of permittivity of free space, \[{{\varepsilon }_{0}}\],is: [AIPMT (S) 2004]
  A)
  coulomb/newton-metre
  done clear
  B)
  newton - metre2/coulomb2
  done clear
  C)
  coulomb / newton – metre
  done clear
  D)
  coulomb2/ (newton- metre)2
  done clear
  View Answer play_arrow

• question_answer5) The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of: [AIPMT (S) 2005]
  A)
        frequency
  done clear
  B)
  velocity
  done clear
  C)
  angular momentum
  done clear
  D)
  time
  done clear
  View Answer play_arrow

• question_answer6) 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: [AIPMT(S) 2006]
  A)
  \[[L{{T}^{-2}}],\,[L]\] and\[[T]\]
  done clear
  B)
  \[[{{L}^{2}}],\,[T]\] and \[[L{{T}^{2}}]\]
  done clear
  C)
  \[[L{{T}^{2}}],\,[LT]\] and \[[L]\]
  done clear
  D)
  \[[L],\,[LT]\] and \[[{{T}^{2}}]\]
  done clear
  View Answer play_arrow

• question_answer7) 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: [AIPMT (S) 2007]
  A)
  \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\]
  done clear
  B)
  \[[M{{L}^{2}}{{T}^{-2}}]\]  
  done clear
  C)
  \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\]
  done clear
  D)
  \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]
  done clear
  View Answer play_arrow

• question_answer8) If the error in the measurement of radius of a sphere is. 2%, then the error in the determination of volume of the sphere will be [AIPMPT (S) 2008]
  A)
  4%
  done clear
  B)
  6%       
  done clear
  C)
  8%
  done clear
  D)
  2%
  done clear
  View Answer play_arrow

• question_answer9) 

  Which two of the following five physical parameters have the same dimensions?          [AIPMT (S) 2008]

  (1) energy density

  (2) refractive index

  (3) dielectric constant

  (4) Young's modulus

  (5) magnetic field

  A)
                                  2 and 4
  done clear
  B)
  3 and 5
  done clear
  C)
  1 and 4
  done clear
  D)
  1 and 5                   
  done clear
  View Answer play_arrow

• question_answer10) If the dimensions of a physical quantity are given by \[{{v}_{s}}=10+10=20m{{s}^{-}}^{1}\] then the physical quantity will be                    [AIPMT (S) 2009]
  A)
  pressure if \[a=1,\,b=-1,\,c=-2\]
  done clear
  B)
  velocity if \[a=1,\,b=0,\,c=-1\]
  done clear
  C)
  acceleration if \[a=1,\,b=1,\,c=-2\]
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer11) The dimension of \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}},\] where \[{{\varepsilon }_{0}}\] is permittivity of free space and E is electric field, is [AIPMT (S) 2010]
  A)
  \[[M{{L}^{2}}{{T}^{-2}}]\]
  done clear
  B)
  \[[M{{L}^{-1}}{{T}^{-2}}]\] 
  done clear
  C)
  \[[M{{L}^{-2}}{{T}^{-1}}]\]
  done clear
  D)
  \[[ML{{T}^{-1}}]\]
  done clear
  View Answer play_arrow

• question_answer12) A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are \[{{e}_{1}}\] and \[{{e}_{2}}\] respectively, the percentage error in the estimation of g is                   [AIPMT(M) 2010]
  A)
  \[{{e}_{2}}-{{e}_{1}}\]
  done clear
  B)
  \[{{e}_{1}}+2{{e}_{2}}\]
  done clear
  C)
  \[{{e}_{1}}+{{e}_{2}}\]
  done clear
  D)
  \[{{e}_{1}}-2{{e}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer13) The density of material in CGS system of units is \[4g/c{{m}^{3}}\]. In a system of units in which unit of lengths is 10 cm and unit of mass' is 100 g, the value of density of material will be' [AIPMT (M) 2011]
  A)
  0.4
  done clear
  B)
  40  
  done clear
  C)
  400
  done clear
  D)
  0.04                         
  done clear
  View Answer play_arrow

• question_answer14) The dimensions of \[{{({{\mu }_{0}}{{\varepsilon }_{0}})}^{-1/2}}\] [AIPMT (S) 2011]
  A)
  \[[{{L}^{-1}}T]\]
  done clear
  B)
  \[[L{{T}^{-1}}]\]
  done clear
  C)
  \[[{{L}^{-1/2}}\,{{T}^{1/2}}]\]
  done clear
  D)
  \[[{{L}^{1/2}}\,{{T}^{-1/2}}]\]
  done clear
  View Answer play_arrow

• question_answer15) A stone is dropped from a height h. It hits the ground with a certain momentum p. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by    [AIPMT (M) 2012]
  A)
  68%
  done clear
  B)
  41%                 
  done clear
  C)
  200%
  done clear
  D)
  100%
  done clear
  View Answer play_arrow

• question_answer16) The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are [AIPMT (S) 2012]
  A)
  \[kg\,m{{s}^{-1}}\]
  done clear
  B)
  \[kg\,m{{s}^{-2}}\]
  done clear
  C)
  \[kg\,{{s}^{-1}}\]
  done clear
  D)
  \[kg\,s\]
  done clear
  View Answer play_arrow

• question_answer17) In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows \[p=\frac{{{a}^{3}}{{b}^{2}}}{cd}%,\] Error in P is   [NEET 2013]
  A)
  14%
  done clear
  B)
  10%                 
  done clear
  C)
  7%
  done clear
  D)
  4%
  done clear
  View Answer play_arrow

• question_answer18) If force (F) velocity (\[\upsilon \]) and time (T) are taken as fundamental units, then the dimensions of mass are [NEET 2014]
  A)
  \[[Fv{{T}^{-1}}]\]
  done clear
  B)
  \[[Fv{{T}^{-2}}]\] 
  done clear
  C)
   \[[F{{v}^{-1}}{{T}^{-1}}]\]
  done clear
  D)
  \[[F{{v}^{-1}}T]\]
  done clear
  View Answer play_arrow

• question_answer19) If energy (E), velocity [v] and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be [NEET 2015]
  A)
  \[[E{{v}^{-2}}{{T}^{-1}}]\]
  done clear
  B)
  \[[E{{v}^{-1}}{{T}^{-2}}]\]  
  done clear
  C)
  \[[E{{v}^{-2}}{{T}^{-2}}]\]
  done clear
  D)
  \[[{{E}^{-2}}{{v}^{-1}}{{T}^{-3}}]\]
  done clear
  View Answer play_arrow

• question_answer20) If dimensions of critical velocity \[{{v}_{c}}\] of a liquid flowing through a tube are expressed as\[[{{\eta }^{x}}{{\rho }^{y}}{{r}^{z}}],\] where \[\eta ,\,\,\rho \] and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by                              [NEET 2015 (Re)]
  A)
  \[1,\,\,-1,\,\,~-1\]
  done clear
  B)
  \[-1,\,\,-1,\,\,~1\]
  done clear
  C)
  \[-1,\,\,-1,\,\,~-1\]
  done clear
  D)
  \[1,\,\,1,\,\,1\]
  done clear
  View Answer play_arrow

• question_answer21) A physical quantity of the dimensions of length that can be formed out of c, G and \[\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}}\] is [c is velocity of light, G is universal constant of gravitation and e is charge]          [NEET-2017]
  A)
                         \[\frac{1}{c}G\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}}\]
  done clear
  B)
  \[\frac{1}{{{c}^{2}}}{{\left[ G\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}} \right]}^{\frac{1}{2}}}\]
  done clear
  C)
  \[{{c}^{2}}{{\left[ G\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}} \right]}^{\frac{1}{2}}}\]
  done clear
  D)
  \[\frac{1}{{{c}^{2}}}{{\left[ \frac{{{e}^{2}}}{G4\pi {{\varepsilon }_{0}}} \right]}^{\frac{1}{2}}}\]
  done clear
  View Answer play_arrow

• question_answer22) A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of -0.004 cm, the correct diameter of the ball is                                 [NEET - 2018]
  A)
  0.053 cm
  done clear
  B)
  0.525 cm
  done clear
  C)
  0.521 cm
  done clear
  D)
  0.529 cm
  done clear
  View Answer play_arrow

• question_answer23) In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where\[X=\frac{{{A}^{2}}{{B}^{1/2}}}{{{C}^{1/2}}{{D}^{3}}}\] will be-                                        [NEET 2019]
  A)
  -10%
  done clear
  B)
  10%
  done clear
  C)
  \[\left( \frac{3}{13} \right)%\]
  done clear
  D)
  16%
  done clear
  View Answer play_arrow

• question_answer24) The unit of thermal conductivity is: [NEET 2019]
  A)
  \[W\text{ }m\text{ }{{K}^{1}}\]
  done clear
  B)
  (b)\[~W\text{ }{{m}^{1}}\text{ }{{K}^{1}}\]
  done clear
  C)
  \[J\text{ }m\text{ }{{K}^{b\text{ }1}}\]
  done clear
  D)
  \[J\text{ }{{m}^{1}}\text{ }{{K}^{1}}\]
  done clear
  View Answer play_arrow

• question_answer25) Dimensions of stress are:              [NEET 2020]
  A)
  \[[M{{L}^{2}}{{T}^{2}}]\]
  done clear
  B)
  \[[M{{L}^{0}}{{T}^{2}}]\]
  done clear
  C)
  \[[M{{L}^{1}}\text{ }{{T}^{2}}]\]
  done clear
  D)
  \[[ML{{T}^{2}}]\]
  done clear
  View Answer play_arrow

• question_answer26) Taking into account of the significant figures, what is the value of 9.99 m – 0.0099 m? [NEET 2020]
  A)
  9.98 m
  done clear
  B)
  9.980 m
  done clear
  C)
  9.9 m
  done clear
  D)
  9.9801 m
  done clear
  View Answer play_arrow

• question_answer27) A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is:            [NEET 2020]
  A)
  0.25 mm
  done clear
  B)
  0.5 mm
  done clear
  C)
  1.0 mm
  done clear
  D)
  0.01 mm
  done clear
  View Answer play_arrow