AP EAMCET202017 Sep 2020Evening ShiftPhysicsUnits and DimensionsActual
Dimensions of ( ₀ ) are
Options
- A( [M⁻¹ L⁻³ T^4 A^2 ] )
- B( [M^0 L⁻³ T^3 A^3 ] )
- C( [ M ⁻¹ ~L ⁻³ ~T ^3 ~A ] )
- D( [ M ⁻¹ ~L ⁻³ ~T ~A ^2 ] )
Correct answer
A. ( [M⁻¹ L⁻³ T^4 A^2 ] )
Step-by-step solution
We know that, force between two charges (q₁ ) and (q₂ ) placed at distance (r ) is given as ( aligned F & = 1 4 ₀ q₁ q₂ r^2 ₀ & = q₁ q₂ 4 F r^2 [ ₀ ]= [q₁ ] [q₂ ] [F] [r^2 ] & = [ AT ][ AT ] [ MLT ⁻² ] [ L ^2 ] = [ M ⁻¹ ~L ⁻³ ~T ^4 ~A ^2 ] aligned )