NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice

If the units of mass, length and time are doubled then unit of angular momentum will be

Options

ADoubled
BTripled
CQuadrupled
DEight times the original value

Correct answer

C. Quadrupled

Step-by-step solution

The dimensions of angular momentum are J = M L 2 T - 1 When units of mass, length and time are doubled, than J ′ = 2 M 2 L 2 2 T - 1 ⇒ J ′ = 4 M L 2 T - 1 = 4 J Unit of angular momentum is quadrupled.

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 2026 A 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 2026 Consider 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: 2026 The percentage error in the calculated volume of a sphere, if there is 2 % error in its diameter measurement, is __________. 2026 Match 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 2026 The 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 _ 2026 Match 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 2026 L , 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 NTA Abhyas JEE Main PYQs