A particle is represented by the following wave function: ψ(x) =0 x<−1/2 ψ(x) =C(2x +...

A particle is represented by the following wave function:

ψ(x) =0		x<−1/2
ψ(x) =C(2x + 1)		−1/2 < x < 0
ψ(x) =C(−2x + 1)		0 < x < +1/2
ψ(x) =0		x > +1/2

(a) Use the normalization condition to find C ?

(b) Evaluate the probability to find the particle in an interval of width 0.01 at x = 0.1 (that is, between x = 0.095 and x = 0.105.)(No integral is necessary for this calculation.)

(c)Evaluate the probability to find the particle between x=0.19 and x=0.35.

(d) Find the average values of x and x², and the uncertainty of x: Δx=√(x²)_av-(x_av)²

x_av=
(x²)_av=
Δx =

Expert Solution

genius_generous answered 1 hour ago

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A particle is represented by the following wave function: ψ(x) =0 x<−1/2 ψ(x) =C(2x +...

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