A string is tied at two rigid supports. A pulse is generated on the string as shown in figure. Minimum time after which string will regain its shape as shown in figure (Neglect the time during reflection)

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At the shape of pulse gets inverted. The pulse will become erect after reflection at $A$ . So the wave has to travel one complete round i.e. $12 m$ to regain its shape as the original. Therefore minimum time is,

$t_{m i n} = \frac{d}{v}$

$t_{m i n} = \frac{12}{2} = 6 s$

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