Match the following lists : Correct Codes are :List - I List - II a. Beam efficiency i. \(4\pi/\Omega_A\) b. Directivity ii. \(kD\) c. Gain iii. \(\dfrac{\Omega_M}{\Omega_A}\) d. Aperture Efficiency iv. \(A_e/A_P\)
a-iii, b-i, c-ii, d-iv
To solve this question, we need to match the items in List I with those in List II based on their definitions in Electromagnetic Theory.
- Beam Efficiency:
- Beam efficiency is defined as the ratio of the main beam solid angle (\(\Omega_M\)) to the total solid angle (\(\Omega_A\)).
- This is represented by the expression \(\dfrac{\Omega_M}{\Omega_A}\).
- Directivity:
- Directivity refers to the power density that an antenna radiates in the direction of its maximum output compared to an isotropic source.
- The formula used for this is \(4\pi/\Omega_A\).
- Gain:
- Gain considers the directivity of an antenna and its efficiency. It is often represented as the product of directivity (\(D\)) and efficiency (\(k\)).
- This relationship is represented by \(kD\).
- Aperture Efficiency:
- Aperture efficiency is defined as the ratio of the effective aperture (\(A_e\)) to the physical aperture (\(A_P\)).
- This is given by the expression \(A_e/A_P\).
By associating each term with its correct description, we have the matches:
- a. Beam efficiency - iii. \(\dfrac{\Omega_M}{\Omega_A}\)
- b. Directivity - i. \(4\pi/\Omega_A\)
- c. Gain - ii. \(kD\)
- d. Aperture Efficiency - iv. \(A_e/A_P\)
Thus, the correct option is: a-iii, b-i, c-ii, d-iv.
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