Question

Six simple harmonic oscillations each of same frequency and equal amplitude are superposed.
The phase difference between any two consecutive oscillations i.e., φ_n-φ_(n-1)=∆φ is constant,
where φ_n
is the phase of the nth oscillation. If the resultant amplitude of the superposition is
zero, what is the phase difference Δφ ?

(A)
π/6
(B)
π/3
(C)
π/2
(D) 2π