3. (10 pts) Consider a particle in a box (a.k.a. the infinite square well) with a length of L. Calculate the probability that a particle, in the ground state, will be found within the position from L /4 L to 3 L /4.

1. (10 pts) A star which is 4.3 light-years away from earth. A rocket leaves for the star at a speed of v = 0.95c relative to the Earth. Assume that the Earth and the star are stationary with respect to one another. According to the astronauts, how much did they age (in years) during their journey?

3. (10 pts) Consider a particle in a box (a.k.a. the infinite square well) with a length of L. Calculate the probability that a particle, in the ground state, will be found within the position from L /4 L to 3 L /4.

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