For an electron in a hydrogen atom , the wave function `Phi` is proportional to e^(-r/a(0)) where `a_(0)` is the Bohr's radius What is the radio of the probability of finding the electron at the nucleus to the probability of finding at `a_(0)` ?

Options

A. e
B. `1//e^(2)`
C. `e^(2)`
D. 0

Explanation

To solve the problem of finding the ratio of the probability of locating an electron at the nucleus of a hydrogen atom to the probability of finding it at a distance equal to Bohr's radius \( a_0 \), we will follow these steps:

### Step 1: Understand the Wave Function
The wave function \( \Psi \) for the electron in a hydrogen atom is given as:
\[ \Psi \propto e^{-r/a_0} \]
where \( a_0 \) is the Bohr radius.
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