When an electron orbiting in hydrogen atom in its ground state jumps to higher excited state, the de-Broglie…
When an electron orbiting in hydrogen atom in its ground state jumps to higher excited state, the de-Broglie wavelength associated with it
- will become zero.
- will remain same.
- will decrease.
- will increase.
Solution
As $\mathrm{v} \propto \frac{1}{\mathrm{n}}$, we can also write $\therefore \quad \mathrm{mv} \propto \frac{1}{\mathrm{n}} \quad \Rightarrow \mathrm{p} \propto \frac{1}{\mathrm{n}}$
Also,
$\lambda=\frac{\mathrm{h}}{\mathrm{p}} \quad \Rightarrow \lambda \propto \mathrm{n}$
$\therefore \quad$ Wavelength will increase.
Asked in: MHT CET 2024 (16 May Shift 1)
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