Correct Option: D

We know that

x(t) =		A |t| ≤ T/2
		0 otherwise

then x(jω) = AT.sin C		ω	T
			2

However, given that

x(t) =	100	sin C (100t)
	π

By using duality property

x(jω)=2πA rect			ω
			t

The value of a and ω can be calculated as

	tT	= 1000 t
	2

or T = 2000

AT =	1000
	π

or A =	1000	=	1000	=	1
	π·T		π·2000		2π

Thus, x(jω)=2π·	1	rect			ω
	2π				2000

or x(jω) = rect			ω
			2000

Hence, alternative (D) is the correct choice.