Match List-I with List-II and select the correct answer using the options given below: List-I [Function in time domain f(t)] List-II [Property] a. _0tu ( t - t_0 ) 1. _0s^2 + _0^2 b. _0 ( t - t_0 )u ( t - t_0 ) 2. \ _0s…

Match List-I with List-II and select the correct answer using the opt…

ECE · Q297

Signal Processing

Engineering and GATE · ECE · question 297

Q297

Match List-I with List-II and select the correct answer using the options given below:

List-I [Function in time domain f(t)]	List-II [Property]
a. $sin ω_{0} t u (t - t_{0})$	1. $\frac{ω _{0}}{s ^{2} + ω _{0}^{2}}$
b. $sin ω_{0} (t - t_{0}) u (t - t_{0})$	2. ${\frac{ω _{0}}{s ^{2} + ω _{0}^{2}}} e^{- t_{0} s}$
c. $sin ω_{0} (t - t_{0}) u (t)$	3. $\frac{e ^{- t_{0} s}}{s ^{2} + ω _{0}^{2}} sin (ω_{0} t_{0} + tan^{- 1} \frac{ω _{0}}{s})$
d. $sin ω_{0} t u (t)$	4. $- \frac{1}{s ^{2} + ω _{0}^{2}} sin (ω_{0} t_{0} - tan^{- 1} \frac{ω _{0}}{s})$

a-3, b-1, c-4, d-2

a-4, b-2, c-3, d-1

a-3, b-2, c-4, d-1

Answer

a-4, b-1, c-3, d-2

Answer: Option C

Answer: Option C

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