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A rectangular metal wave guide filled with a dielectric material of relative permittivity $\varepsilon_{r}=4$ has the inside dimensions $3.0 \mathrm{~cm} \times 1.2 \mathrm{~cm}$. The cut-off frequency for the dominant mode is

  1. $2.5 \; \mathrm{GHz}$
  2. $5.0 \; \mathrm{GHz}$
  3. $10.0 \; \mathrm{GHz}$
  4. $12.5 \; \mathrm{GHz}$

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