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MHT CET · Physics · Dual Nature of Matter

When an electron orbiting in hydrogen atom in its ground state jumps to higher excited state, the de-Broglie wavelength associated with it

  1. A will become zero.
  2. B will remain same.
  3. C will decrease.
  4. D will increase.
Verified Solution

Answer & Solution

Correct Answer

(D) will increase.

Step-by-step Solution

Detailed explanation

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.