A particle is confined in a box (0 ≤ x ≤ L). If the particle's energy is 16 times greater than the ground state energy of the well, which of these is the particle's normalized wave function in the region 0 ≤ x ≤ L? a. y(x) = = √ √ 2 sin ( ² ) 2π L b. 2 y(x) = = ¹(4*) L L C. 2 8T $(2) = √ √ ² sin ( 27 ) L d. 2 16п y(x) = sin ī L sin x

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A particle is confined in a box (0 ≤ x ≤ L). If the particle's energy is 16 times greater than the ground
state energy of the well, which of these is the particle's normalized wave function in the region 0 ≤ x ≤ L?
a.
2
*(z) = √² sin (2²)
L
L
b.
2
4π
√5 (2) = √ √ ² sin ( 47 x )
2
*(z) = √²/ sin ( ² )
8T
L
2
6(2) = √7 sin (¹
(x)=
16п
L
x)
L
C.
d.
Transcribed Image Text:A particle is confined in a box (0 ≤ x ≤ L). If the particle's energy is 16 times greater than the ground state energy of the well, which of these is the particle's normalized wave function in the region 0 ≤ x ≤ L? a. 2 *(z) = √² sin (2²) L L b. 2 4π √5 (2) = √ √ ² sin ( 47 x ) 2 *(z) = √²/ sin ( ² ) 8T L 2 6(2) = √7 sin (¹ (x)= 16п L x) L C. d.
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