Wave has simple harmonic motion whose period is 4 seconds while another wave which also possesses simple harmonic motion has its period 3 second. If both are combined, then the resultant wave will have the period equal to

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(3) 12 s. Given: two simple harmonic motions of periods 4 s and 3 s. Idea: superposing two frequencies produces beats, whose frequency is the difference of the two. 
u₁=1/4 Hz and 
u₂=1/3 Hz. 
u_beat=1/3-1/4=(4-3)/(12)=1/(12) Hz. T_beat=1/(u_beat). T=12 s.

Wave has simple harmonic motion whose period is 4 seconds while another wave which also possesses simple harmonic motion has its period 3 second. If both are combined, then the resultant wave will have the period equal to

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