Suppose that at a certain instant of time, the wavefunction shown below describes a certain quanton's state. The function is zero for $|x|a$ and sinusoidal with a constant amplitude for $|x|

Question

Suppose that at a certain instant of time, the wavefunction shown below describes a certain quanton's state.

The function is zero for $|x|>a$ and sinusoidal with a constant amplitude for $|x|<a$. If we were to perform an experiment to locate the quanton, within which of the ranges above would we be most likely to find it?
A) Range I 
B) Range II 
C) Range III 
D) Ranges I and III have equal probability; I/ smaller 
E) All three ranges have equal probability.

Quizplus · Accepted Answer

The Answer of Suppose that at a certain instant of time, the wavefunction shown below describes a certain quanton's state.

The function is zero for $|x|>a$ and sinusoidal with a constant amplitude for $|x|<a$. If we were to perform an experiment to locate the quanton, within which of the ranges above would we be most likely to find it?
A) Range I 
B) Range II 
C) Range III 
D) Ranges I and III have equal probability; I/ smaller 
E) All three ranges have equal probability.

Suppose That at a Certain Instant of Time, the Wavefunction ∣x∣>a|x|>a∣x∣>a

Suppose That at a Certain Instant of Time, the Wavefunction $|x|>a$