Correct Option: B

Given, x(t) = 2 + cos		2πt		+ 4 sin		5πt
		3				3

Fundamental period of

x1(t)= T1 =	2π	= 3
	2π
	3

Fundamental period of

x2(t)= T2 =	2π	=	6	b
	5π		5
	3

Ratio =	T1	=	3	=	5
	T2		6		2
			3

or 2T₁ = 5T₂

or 2.3 = 5·	6	= 6
	5

6 is the fundamental period of the signal x(t)
So, fundamental frequency,

ω0 =	2π	=	2π	=	π
	T		6		3

Hence, alternative (B) is the correct choice