Match the Columns: Dimensional Formulas – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Match the Columns: Dimensional Formulas

Match the column:\n(a) Pressure -> (i) \([ML^2T^{-1}]\)\n(b) Angular Momentum -> (ii) \([M^{-1}L^{-3}T^4A^2]\)\n(c) Magnetic Field -> (iii) \([MT^{-2}A^{-1}]\)\n(d) Permittivity of free space -> (iv) \([ML^{-1}T^{-2}]\)\n(v) \([MT^{-2}A^{-1}]\)
\(a \rightarrow (iv), b \rightarrow (i), c \rightarrow (iv), d \rightarrow (iii)\)
\(a \rightarrow (v), b \rightarrow (ii), c \rightarrow (v), d \rightarrow (iv)\)
\(a \rightarrow (iv), b \rightarrow (i), c \rightarrow (v), d \rightarrow (ii)\)
\(a \rightarrow (i), b \rightarrow (ii), c \rightarrow (iv), d \rightarrow (iii)\)

Solution:

Pressure = \(F/A = [ML^{-1}T^{-2}]\); Angular Momentum = \(mvr = [ML^2T^{-1}]\); Magnetic field = \(F/qv = [MT^{-2}A^{-1}]\); Permittivity = \([M^{-1}L^{-3}T^4A^2]\).

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