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Plane Waves in Free Space - MCQ Practice Test with solutions, GATE EE Electromagnetic


MCQ Practice Test & Solutions: Test: Plane Waves in Free Space (10 Questions)

You can prepare effectively for Electrical Engineering (EE) Electromagnetic Fields Theory (EMFT) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Plane Waves in Free Space". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Plane Waves in Free Space - Question 1

In free space, the charge carriers will be

Detailed Solution: Question 1

Answer: a
Explanation: Free space is not a conductor. Thus the charge carrier in free space is assumed to be zero. But the free space consists of particles or ions that get ionized during conduction.

Test: Plane Waves in Free Space - Question 2

In free space, which parameter will be unity?

Detailed Solution: Question 2

Answer: c
Explanation: The relative permittivity is a constant for a particular material. It is unity for free space or air. The absolute permittivity is a constant given by 8.854 x 10-12 C/m2.

Test: Plane Waves in Free Space - Question 3

Which parameter is unity in air medium?

Detailed Solution: Question 3

Answer: c
Explanation: In free space or air medium, the relative permeability is also unity, like relative permittivity. The absolute permeability is given by 4π x 10-7 units.

Test: Plane Waves in Free Space - Question 4

The conductivity in free space medium is

Detailed Solution: Question 4

Answer: c
Explanation: As the charge carriers are not available in free space, the conductivity will be very low. For ideal cases, the conductivity can be taken as zero.

Test: Plane Waves in Free Space - Question 5

Zero permeability/permittivity implies which state?

Detailed Solution: Question 5

Answer: c
Explanation: The zero permittivity in an electric field refers to the ability of the field/medium to permit electric charges in it. Similarly, zero permeability in a magnetic field refers to the ability of the field/medium to permit the magnetic energy into the field.

Test: Plane Waves in Free Space - Question 6

The intrinsic impedance of free space is

Detailed Solution: Question 6

Answer: d
Explanation: The intrinsic impedance is the square root of ratio of the permeability to the permittivity. In free space, the permeability and the permittivity is same as the absolute permeability and permittivity respectively. This is due to unity permeability and permittivity in free space. Thus η = √(μ/ε), where absolute permeability is given by 4π x 10-7 and absolute permittivity is given by 8.854 x 10-12. The intrinsic impedance will be 377 ohms.

Test: Plane Waves in Free Space - Question 7

In free space, the condition that holds good is

Detailed Solution: Question 7

Answer: b
Explanation: The free space does not have any barrier for attenuation. Thus it enables minimum attenuation and maximum propagation. This technique is employed in line of sight communication

Test: Plane Waves in Free Space - Question 8

In free space, the ratio of frequency to the velocity of light gives the phase constant. State True/False. 

Detailed Solution: Question 8

Answer: a
Explanation: The phase constant is given by the ratio of the frequency in radian/sec to the velocity of the wave propagating. In free space, the velocity is considered to be the velocity of light. Thus the statement is true.

Test: Plane Waves in Free Space - Question 9

The velocity of a wave travelling in the air medium without transmission lines or waveguides(wireless) is 

Detailed Solution: Question 9

Answer: b
Explanation: In free space or air medium, the velocity of the wave propagating will be same as that of the light. Thus the velocity is the speed of light, V = c. It is given by 3 x 108m/s

Test: Plane Waves in Free Space - Question 10

The vectors of the electromagnetic wave propagation can be expressed in

Detailed Solution: Question 10

Answer: b
Explanation: In an EM wave, the electric and the magnetic fields will be perpendicular to each other and with the direction of the propagation. Thus it can be expressed in cross product where iE x iH = iw. Here iE is the electric vector component, iH is the magnetic vector component and iw is the vector of the wave propagating.

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