GATE ECE 2006 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

A medium of relative permittivityb $${\varepsilon _r} = 2$$ forms an interface with free-space. A point source of electromagnetic energy is located in the medium at a depth of $$1$$ meter from the interface. Due to the total internal reflection, the transmitted beam has a circular cross-section over the interface. The area of the beam cross-section at the interface is given by

$$2\pi \,{m^2}$$

$${\pi ^2}\,{m^2}$$

$$\pi /2\,{m^2}$$

$$\pi \,{m^2}$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

A mast antenna consisting of a 50 meter long vertical conductor operates over a perfectly conducting ground plane. It is base-fed at frequency of 600 kHz. The radiation resistance of the antenna in ohms is

$${{2\,\,{\pi ^2}} \over 5}$$

$${{\,\,{\pi ^2}} \over 5}$$

$${{4\,\,{\pi ^2}} \over 5}$$

$$20\,\,\,{\pi ^2}$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

A rectangular waveguide having $$T{E_{10}}$$ mode as dominant mode is having a cutoff frequency of 18 GHz for the $$T{E_{30}}$$ mode. The inner broad-wall dimension of the rectangular waveguide is

5/3 cms

5 cms

5/2 cms

10 cms

GATE ECE 2006

MCQ (Single Correct Answer)

-0.3

$$\int\int\left(\nabla\times\mathrm P\right)\;\cdot\mathrm{ds}$$ , where is a vector, is equal to

$$\mathrm P\times\nabla\times\mathrm P\;-\;\nabla^2\;\mathrm P$$

$$\nabla^2\;\mathrm P\;+\;\nabla\left(\nabla\cdot\mathrm P\right)$$

$$\nabla^2\;\mathrm P\;+\;\nabla\times\mathrm P$$

$$\nabla\left(\nabla\cdot\mathrm P\right)-\nabla^2\;\mathrm P\;$$

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