A one-dimensional innite well of length 400 pm contains an electron in its excited state with n=3. We position an electron-detector probe of width 4.00 pm so that it is centered on a point of maximum probability density. (a) What is the probability of detection by the probe? (b) If we insert the probe as described 1500 times, how many times should we expect the electron to materialize on the end of the probe (and thus be detected)? (a) Number n Units (b) Number I Units An electron is trapped in a one-dimensional infinite well and is in its first excited state. The figure indicates the five longest wavelengths of light that the electron could absorb in transitions from this initial state via a single photon absorption: a = 82.3 nm,Ab = 31.6 nm,Ac = 19.4 nm,Ad = 12.2n and de = 9.10 nm. What is the width of the potential well? le- 2 (nm) Number UnitsWhat must be the width of a one- dimensional infinite potential well if an electron trapped in it in the n = 4 state is to have an energy of 6.3 eV? Number Units