Question

Match List-I with List-II.

• A. A-III, B-II, C-I, D-IV
• B. A-IV, B-III, C-II, D-I
• C. A-II, B-IV, C-I, D-III
• D. A-II, B-IV, C-III, D-I

Hint:

Rect ↔ Sinc, Constant ↔ Delta, Gaussian ↔ Gaussian.

Answer 1

The Correct Option is B

Concept: Fourier Transform pairs:

Step 1: Delta function \[ \delta(t) \leftrightarrow 1 \Rightarrow A \rightarrow II \]

Step 2: Gaussian function Gaussian transforms to Gaussian. \[ B \rightarrow IV \]

Step 3: Rectangular function Rectangular function transforms to sinc function. \[ C \rightarrow I \]

Step 4: Constant function Constant transforms to delta function. \[ D \rightarrow III \] Final matching: \[ A-II,\; B-IV,\; C-I,\; D-III \] \[ \therefore \text{Correct answer is (C)} \]