Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbookNSEPUnits and Dimensions

If speed of light c , Planck's constant h and gravitational constant G are chosen as fundamental quantities, dimensions of time in this system of units is

Options

  1. Ach ^ 3 / 2 G ^ -3 / 2
  2. Bc ⁻² G ^ 1 / 2 ~h
  3. Cc^2 G^ 1 / 2 h^ 5 / 2
  4. Dc^ -5 / 2 G^ 1 / 2 h^ 1 / 2

Correct answer

D. c^ -5 / 2 G^ 1 / 2 h^ 1 / 2

Step-by-step solution

No solution

Practice Units and Dimensions on Quantrex Academy →

More from Units and Dimensions

A quantity is defined as =e^2 / 4 ₀ c , where e is electric charge, =h / 2 is the reduced Planck's constant and c is the speed of light. The dimensions of areA student performs an experiment with a simple pendulum and records the time for 20 oscillations. If he would have recorded time for 100 oscillations, the error in the measurement In a spectrometer the smallest main scale division is 1 3 of a degree. The total number of divisions on the vernier scale attached to the main scale is 60 which coincide with the 5Consider a relation connecting three physical quantities A, B and C given by A=B^n C^m . The dimensions of A, B and C are [ LT ], [ L ^2 ~T ⁻¹ ] and [ LT ^2 ] respectively. TherefoConsider the following physical expressions (I) v^2( : density, v: velocity ) (II) Y L L (Y: Young's modulus, L: length) (III) ^2 ₀ ( : surface density of charge) (IV) h r ( h : riWhich of the following physical quantities have dimensions identical to each other?If Pascal ( Pa ) , the unit of pressure volt ( V ) , the unit of potential and meter ( L ) , the unit of length are taken as fundamental units, the dimensional formula for the perm Full Units and Dimensions list All Olympiad workbook PYQs