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
  1. will become zero.
  2. will remain same.
  3. will decrease.
  4. 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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