Write the dimensional formula of the Rydberg constant $(R)$.
(N/A) The Rydberg formula for the wavelength $(\lambda)$ of light emitted in a hydrogen transition is given by:
$\frac{1}{\lambda} = R \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right)$
Here, $\lambda$ is the wavelength, which has the dimension of length $([L])$.
$n_1$ and $n_2$ are integers, which are dimensionless.
Therefore, the dimension of the Rydberg constant $(R)$ is the inverse of the dimension of wavelength.
$[R] = \frac{1}{[L]} = [L^{-1}]$
In terms of fundamental dimensions, this is $[M^0 L^{-1} T^0]$.
$\frac{1}{\lambda} = R \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right)$
Here, $\lambda$ is the wavelength, which has the dimension of length $([L])$.
$n_1$ and $n_2$ are integers, which are dimensionless.
Therefore, the dimension of the Rydberg constant $(R)$ is the inverse of the dimension of wavelength.
$[R] = \frac{1}{[L]} = [L^{-1}]$
In terms of fundamental dimensions, this is $[M^0 L^{-1} T^0]$.
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