Examine the three quantities x = E/B , y = 1/ ₀ ₀ and z = l CR . In these expressions, l represents the length of a wire, C stands for a capacitance, and R denotes a resistance. The remaining symbols carry their standard meanings.

Step-by-step solution

The quantity x = E B represents the ratio of the electric field to the magnetic field. From the Lorentz force equations F = qE and F = qvB , we get v = E B . Thus, the dimensional formula of x is [L T⁻¹] . The quantity y = 1 ₀ ₀ represents the speed of light in a vacuum, c . Thus, the dimensional formula of y is [L T⁻¹] . The quantity z = l CR involves length l , capacitance C , and resistance R . The product CR represents the time constant of an RC circuit, which has the dimension of time [T] . Since l has the dim