Dimensional Analysis questions with solutions

Showing 1–10 of 11 questions

• MCQmediumUnit dimension and errorDimensional Analysis

  A force defined by F = αt² + βt acts on a particle at a given time t. The factor which is dimensionless, if α and β are constants, is:

  Options

  • Option A

    αt/β

  • Option B

    αβt

  • Option C

    αβ/t

  • Option D

    βt/α

  Check answerShow answer

  NEET 2024

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  In a particular system, the units of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system is equivalent to:

  Options

  • Option A

    0.1 N

  • Option B

    1 N

  • Option C

    10 N

  • Option D

    100 N

  Check answerShow answer

  AIPMT 1994NEET

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  The velocity v of a particle at time t is given by v = at + b/(t+c), where a, b and c are constants. The dimensions of a, b and c are:

  Options

  • Option A

    [L], [LT] and [LT⁻²]

  • Option B

    [LT⁻²], [L] and [T]

  • Option C

    [L²], [T] and [LT²]

  • Option D

    [LT²], [LT] and [L]

  Check answerShow answer

  AIPMT 2006NEET

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  Planck's constant h, speed of light in vacuum c and Newton's gravitational constant G are fundamental constants. Which combination has the dimension of length?

  Options

  • Option A

    √(hG)/c³ᐟ²

  • Option B

    √(hG)/c⁵ᐟ²

  • Option C

    √(hc)/G

  • Option D

    √(Gc)/h³ᐟ²

  Check answerShow answer

  NEET Phase-II 2016

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  If force F, velocity v and time T are taken as fundamental units, then the dimensions of mass are:

  Options

  • Option A

    [F v T⁻¹]

  • Option B

    [F v T⁻²]

  • Option C

    [F v⁻¹ T⁻¹]

  • Option D

    [F v⁻¹ T]

  Check answerShow answer

  AIPMT 2014NEET

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  The potential energy of a particle moving along x-direction varies as V = Px²/(√x + Q). The dimensions of P²/Q are:

  Options

  • Option A

    [M³ᐟ² L¹ᐟ² T⁻³]

  • Option B

    [M¹ᐟ² L T⁻³]

  • Option C

    [M² L¹ᐟ² T⁻⁴]

  • Option D

    [M L² T⁻⁴]

  Check answerShow answer

  Re-NEET 2024

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  If the dimensional formula of a physical quantity is [MᵃLᵇTᶜ], then the physical quantity will be:

  Options

  • Option A

    pressure, if a=1, b=-1, c=-2

  • Option B

    velocity, if a=1, b=0, c=-1

  • Option C

    acceleration, if a=1, b=1, c=-2

  • Option D

    force, if a=0, b=-1, c=-2

  Check answerShow answer

  AIPMT Screening 2009NEET

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  A physical quantity having dimensions of length is to be formed from c, G and e²/(4πε₀), where c is speed of light, G is gravitational constant and e is charge. Which expression has dimensions of length?

  Options

  • Option A

    (1/c²)[G e²/(4πε₀)]¹ᐟ²

  • Option B

    c²[G e²/(4πε₀)]¹ᐟ²

  • Option C

    (1/c²)[e²/(4πε₀G)]¹ᐟ²

  • Option D

    (1/c)[G e²/(4πε₀)]

  Check answerShow answer

  NEET 2017

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  The density of a material in CGS system of units is 4 g/cm³. In a system of units in which the unit of length is 10 cm and the unit of mass is 100 g, the numerical value of density will be:

  Options

  • Option A

    0.4

  • Option B

    40

  • Option C

    400

  • Option D

    0.04

  Check answerShow answer

  AIPMT Mains 2011NEET

  Open question & full solution →
• MCQmediumUnit dimension and errorDimensional Analysis

  In Van der Waals' gas equation [P + a/V²][V - b] = RT, the dimensions of Van der Waals constant a are:

  Options

  • Option A

    [M L⁵ T⁻²]

  • Option B

    [M L⁻⁵ T⁻²]

  • Option C

    [M L⁵ T²]

  • Option D

    [M⁻¹ L⁻⁵ T⁻²]

  Check answerShow answer

  AIPMT Mains 2008NEET

  Open question & full solution →