Time evolution of wave function in an infinite square well potential

[Apashanka]

Homework Statement

Homework Equations

For this question my ans. is coming option (3) since the time part of the wave comes out to be same for both the energy states which is (-1)^(-1/8) and (-1)^(-9/8) respectively (using exp(-iEt/ħ)).
But the correct option is given option (4).
Am I right??

The Attempt at a Solution

 

[PeterDonis]

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