Determine the probability that a particle in 1-dimension box of length a, with no forces acting on it, in state corresponding to n=10,will be found in the region between a/3 and 2a/3.

Explanation:

The probability to find a particle in a 1 dimension box of length is:

Let's recall the wave function of a particle in this candiction will be:

So the propability:

Solving the integral, it is:

We can cancel out a and using n = 10, the probabilty finally will be:

I hope it helps you!

be subject to a force andchange its motion

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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