The ground-state wavefunction of a hydrogen atom is
![1464_image090720141029.png](https://secure.tutorsglobe.com/CMSImages/1464_image090720141029.png)
where a0 = 53 pm (the Bohr radius).
(a) Calculate the probability that the electron will be found somewhere within a small sphere of radius 1.0 pm centred on the nucleus.
(b) Now suppose that the same sphere is located at r = a0. What is the probability that the electron is inside it?