AP EAMCET202124 Aug 2021Morning ShiftPhysicsUnits and DimensionsActual
Which of the following pairs of physical quantities possess same dimension?
Options
- AForce and surface tension
- BFrequency and velocity gradient
- CAngular speed and solid angle
- DStefan's constant and Planck's constant
Correct answer
B. Frequency and velocity gradient
Step-by-step solution
We know that, the dimension formula of given physical quantities are [ Force ]= [ MLT ^2 ] [Surface tension] = [ ML ^0 ~T ⁻² ][ Frequency ]= [ M ^0 ~L ^0 ~T ⁻¹ ] [Velocity gradient ]= [ M ^0 ~L ^0 ~T ⁻¹ ] [Angular speed] = [ M ^0 ~L ^0 ~T ⁻¹ ] [Solid angle] = [ M ^0 ~L ^0 ~T ^0 ] [Stefan's constant] = [ ML ^0 ~T ⁻³ ~K ⁻⁴ ] and [Planck's constant ]= [ ML ^2 ~T ⁻¹ ] Hence, we found that only (frequency and velocity gradient) pair has same dimensions.