Right option is (b) 24 π
The explanation is: ω1 = \(\frac{2}{3}\)
Or, T1 = \(\frac{2π}{ω_1}\) = 3π
Again, ω2 = \(\frac{1}{4}\)
Or, T2 = \(\frac{2π}{ω_2}\) = 8π
Again, ω3 = \(\frac{1}{3}\)
Or, T3 = \(\frac{2π}{ω_3}\) = 6π
And, ω4 = \(\frac{1}{2}\)
Or, T4 = \(\frac{2π}{ω_4}\) = 4π
∴ T = LCM (3π, 8 π, 6π, 4π)
∴ T = 24π.