The quantities x = 1/√(µ₀ε₀), y = E/B and z = 1/CR are defined where C-capacitance, R Resistance, l-length, E-Electric field, B-magnetic field and ε₀, µ₀, - free space permittivity and permeability respectively. Then:

Option 1 - x, y and z have the same dimension.

Option 2 - Only y and z have the same dimension.

Option 3 - Only x and z have the same dimension

Option 4 - Only x and y have the same dimension.

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Vishal Baghel | Contributor-Level 10

6 months ago

Correct Option - 1

Detailed Solution:

x = 1/√ (µ? ε? ) = speed ⇒ [x] = [L¹T? ¹]
y = E/B = speed ⇒ [y] = [L¹T? ¹]
z = l/ (RC) = l/τ ⇒ [z] = [L¹T? ¹]
So, x, y, z all have the same dimensions.

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