Question

Match List-I with List-II:

List-I (Modulation Schemes)	List-II (Wave Expressions)
(A) Amplitude Modulation	(I) \( x(t) = A\cos(\omega_c t + k m(t)) \)
(B) Phase Modulation	(II) \( x(t) = A\cos(\omega_c t + k \int m(t)dt) \)
(C) Frequency Modulation	(III) \( x(t) = A + m(t)\cos(\omega_c t) \)
(D) DSB-SC Modulation	(IV) \( x(t) = m(t)\cos(\omega_c t) \)

Choose the correct answer:

• A. (A)–(I), (B)–(II), (C)–(III), (D)–(IV)
• B. (A)–(IV), (B)–(III), (C)–(II), (D)–(I)
• C. (A)–(III), (B)–(IV), (C)–(I), (D)–(II)
• D. (A)–(I), (B)–(II), (C)–(IV), (D)–(III)

Hint:

Remember: AM varies amplitude, FM varies frequency, PM varies phase, DSB-SC removes carrier.

Answer 1

The Correct Option is A

Amplitude Modulation (AM) → $\cos(\omega_c t + k m(t))$,
Phase Modulation (PM) → $\cos(\omega_c t + k\int m(t)dt)$,
Frequency Modulation (FM) → $A + m(t)\cos\omega_c t$,
Double-Sideband Suppressed-Carrier (DSB-SC) → $m(t)\cos\omega_c t$.

Final Answer: \[\boxed{(1)}\]