Answer:
(a) 4.98x10⁻⁵
(b) 7.89x10⁻⁶
(c) 1.89x10⁻⁴
(d) 0.5
(e) 2.9x10⁻²
Step-by-step explanation:
The probability (P) to find the particle is given by:
(1)
The solution of the intregral of equation (1) is:
(a) The probability to find the particle between x = 4.95 nm and 5.05 nm is:
(b) The probability to find the particle between x = 1.95 nm and 2.05 nm is:
(c) The probability to find the particle between x = 9.90 nm and 10.00 nm is:
(d) The probability to find the particle in the right half of the box, that is to say, between x = 0 nm and 50 nm is:
(e) The probability to find the particle in the central third of the box, that is to say, between x = 0 nm and 100/6 nm is:
I hope it helps you!