The de-Broglie wavelength associated with the electron in the \(n\, = 4\) level is

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(B) four times the de-Broglie wavelength of the electron in the ground state

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De-Broglie wavelength of electron

\(\lambda=\frac{h}{m V}\)

As we know, \(V \propto \frac{1}{n}\)

\(\mathrm{So}, \lambda \propto n\)

\(\lambda_{4}=4 \lambda_{1}\)

\(\lambda_{1}\) is the de-Broglie wavelength of the electron in the ground state.

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