A particle is confined to be within a rectangular box of dimensions 1 cm by 1 cm by 2 cm. Furthermore, the magnitude of its momentum is constrained to be less than 3 × 10^−24 kg m/s.

 

(a) What is the probability that it is in any one particular quantum state?

(b) What is the probability that the magnitude of its momentum is less than 2 × 10^−24 kg m/s?

(c) What is the probability that the magnitude of its momentum is greater than 10^−24 kg m/s and less than 3 × 10^−24 kg m/s and that it is in the right-hand half of the box?