Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

If force F is related with distance x and time t as F = A x + Bt^ 2...

If force FF is related with distance xx and time tt as F=Ax+Bt2F = A\sqrt{x} + Bt^{2} , the dimensions of AB\dfrac{A}{B} is

Options

  1. AM0L−1/2TM^{0}L^{- 1 / 2}T
  2. BML−1/2T−2ML^{- 1 / 2}T^{- 2}
  3. CM0L−1/2T2M^{0}L^{- 1 / 2}T^{2}
  4. DM0LT–2M^{0}{LT}^{– 2}

Correct answer

C. M0L−1/2T2M^{0}L^{- 1 / 2}T^{2}

Step-by-step solution

All terms of an equation must have same dimensions

[MLT–2]=[AL12]=[BT2]<\left[{MLT}^{– 2}\right] =\left[AL\dfrac{1}{2}\right] = \left[{BT}^{2}\right] <br>
\left[A\right] =\dfrac{MLT^{- 2}}{\sqrt{L}}

\left[B\right] =\dfrac{MLT^{- 2}}{T^{2}}
Practice Units and Dimensions on Quantrex Academy →

More from Units and Dimensions

In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s… JEE Advanced 2026A new unit (α) of length is chosen such that it is equal to the speed of light in vacuum.… JEE Main 2026Consider the equation H = (x^p ε^q E^r)/(t^s) , where H= magnetic field; E= electric… JEE Main 2026The percentage error in the calculated volume of a sphere, if there is 2\% error in its… JEE Main 2026Match List - I with List - II. List - I List - II A. Boltzmann constant I. [M^ -1 L^3T^… JEE Main 2026The potential energy of a particle changes with distance x from a fixed origin as V = A x… JEE Main 2026Match List-I with List-II. List-I List-II A. Meter (L) I. (hc)/(G) B. Second (S) II.… JEE Main 2026L , C and R represents physical quantities inductance, capacitance and resistance… JEE Main 2026 Full Units and Dimensions list All NTA Abhyas JEE Main PYQs