What is the ratio of radii of orbits corresponding to first excited state and ground state in hydrogen atom?
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To find the ratio of the radii of orbits corresponding to the first excited state and the ground state in a hydrogen atom, we can follow these steps:
### Step 1: Understand the formula for the radius of orbits in a hydrogen atom.
The radius of the nth orbit in a hydrogen atom is given by the formula:
\[ R_n = n^2 \cdot R_1 \]
where \( R_1 \) is the radius of the ground state (n=1) orbit.
### Step 2: Identify the values of n for the ground state and the first excited state.
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