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JEE Mains · Physics · STD 12 - 12. atoms
The de-Broglie wavelength associated with the electron in the \(n\, = 4\) level is
- A \(\frac{1}{4}\,^{th}\) of the de- Broglie wavelength of the electron in the ground state
- B four times the de-Broglie wavelength of the electron in the ground state
- C two times the de-Broglie wavelength of the electron in the ground state
- D half of the de-Broglie wavelength of the electron in the ground state
Answer & Solution
Correct Answer
(B) four times the de-Broglie wavelength of the electron in the ground state
Step-by-step Solution
Detailed explanation
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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