Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202325 Jan 2023Morning ShiftPhysicsUnits and DimensionsActual

Match List I with List II List - I List - II A Surface tension I. kg m - 1 s - 1 B Pressure II. kg m s - 1 C Viscosity III. kg m - 1 s - 2 D Impulse IV. kg s - 2 Choose the correct answer from the options given below:

Options

  1. AA-IV, B-III, C-II, D-I
  2. BA-IV, B-III, C-I, D-II
  3. CA-III, B-IV, C-I, D-II
  4. DA-II, B-I, C-III, D-IV

Correct answer

B. A-IV, B-III, C-I, D-II

Step-by-step solution

(A) Surface tension is related to force and length as S = F l = M L T - 2   L = M   T - 2 = kg   s - 2 (IV) (B) Pressure is related to force and area as P = F A = M L T - 2   L 2 = kg   m - 1   s - 2 (III) (C) Viscosity in terms of force, area and velocity gradient is given by η = F A d v d x = M L T - 2   L 2 L T - 1 L = M L - 1   T - 1 = kg   m - 1   s - 1 (I) (D) Impulse is related to force and time of application as J = ∫ F   dt = M L T - 2 &#215

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 and 5 A, respectively. If ₀ and ₀ are the permeability and permittivity of free space, resp 2026A new unit ( ) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of units if light takes 6 min. 40 s 2026Consider the equation H = x^p ^q E^r t^s , where H= magnetic field; E= electric field, = permittivity, x= distance, t= time. The values of p, q, r and s respectively are: 2026The percentage error in the calculated volume of a sphere, if there is 2 % error in its diameter measurement, is __________. 2026Match List - I with List - II. List - I List - II A. Boltzmann constant I. [M⁻¹L^3T⁻²] B. Stefan's constant II. [ML^2T⁻¹] C. Planck's constant III. [ML^2T⁻²K⁻¹] D. Gravitational co 2026The potential energy of a particle changes with distance x from a fixed origin as V = A x x + B , where A and B are constant with appropriate dimensions. The dimensions of AB are _ 2026Match List-I with List-II. List-I List-II A. Meter (L) I. hc G B. Second (S) II. Gh c^5 C. Kilogram (M) III. K^2L^2c^3 Gh D. Kelvin (K) IV. Gh c^3 where h (Planck's constant), G (g 2026L , C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ML^2 T⁻⁴ A⁻² corresponds to __________. 2026 Full Units and Dimensions list All JEE Main PYQs