51. The voltage reflection coefficient at the load end of a transmission line is
52. In air the lossless transmission line of length 50 cm with L = 10 μH/m, C = 40 pF/m is operated at 25 MHz. Its electrical path length is
53. For a wave travelling in negative Z direction the value of $$\frac{{{\text{Ey}}}}{{{\text{Hx}}}}$$ is:
54. A coaxial-cable with an inner diameter of 1 mm and outer diameter of 2.4 mm is filled with a dielectric of relative permittivity 10.89. Given $${\mu _0} = 4\pi \times {10^{ - 7}}{\text{H/m}},\,{\varepsilon _0} = \frac{{{{10}^{ - 9}}}}{{36\pi }}{\text{F/m}}{\text{.}}$$
The characteristic impedance of the cable is
The characteristic impedance of the cable is
55. The frequency of a sound wave is 25 Hz and its wavelength is 4 m. What is the distance travelled by the sound wave in 2?
56. From a solution of wave equation in a conducting medium we can determine various parameters. In the light of this, match List-I with List-II and select the correct answer using the options given below the lists:
List-I (Parameter)
List-II (Expression)
a. Propagation constant
1. $${\left( {\frac{2}{{\omega \mu \sigma }}} \right)^{\frac{1}{2}}}$$
b. Skin depth
2. $${\left( {\frac{{\omega {\mu _0}}}{{2\sigma }}} \right)^{\frac{1}{2}}}$$
c. Sheet resistance
3. $${\left( {j\omega {\mu _0}\sigma } \right)^{\frac{1}{2}}}$$
4. $${\left( {\frac{{\omega {\mu _0}\sigma }}{2}} \right)^{ - \frac{1}{2}}}$$
| List-I (Parameter) | List-II (Expression) |
| a. Propagation constant | 1. $${\left( {\frac{2}{{\omega \mu \sigma }}} \right)^{\frac{1}{2}}}$$ |
| b. Skin depth | 2. $${\left( {\frac{{\omega {\mu _0}}}{{2\sigma }}} \right)^{\frac{1}{2}}}$$ |
| c. Sheet resistance | 3. $${\left( {j\omega {\mu _0}\sigma } \right)^{\frac{1}{2}}}$$ |
| 4. $${\left( {\frac{{\omega {\mu _0}\sigma }}{2}} \right)^{ - \frac{1}{2}}}$$ |
57. The mode used in the laboratory bench is
58. Consider a rectangular coordinate system (x, y, z) with unit vectors ax, ay and az. A plane wave travelling in the region z ≥ 0 with electric field vector E = 10cos(2 × 108t + βz)ay is incident normally on the plane at z = 0, where β is the phase constant. The region z ≥ 0 is in the free space and the region z < 0 is filled with a lossless medium (permittivity ε = ε0, permeability µ = 4µ0, where ε0 = 8.85 × 1012 F/m and µ0 = 4π × 10-7 H/m).
The value of the reflection coefficient is
The value of the reflection coefficient is
59. If a right hand circularly polarised wave is incident on a perfect conductor. The reflected wave is:
60. The maximum usable frequency of an ionospheric layer at 60° incidence at with 8 MHz critical frequency is
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