TS EAMCET · Physics · Dual Nature of Matter
The energy that should be added to an electron to reduce its de-Broglie wavelength from \(1 \mathrm{~nm}\) to \(0.5 \mathrm{~nm}\) is
- A four-times the initial energy
- B equal to the initial energy
- C two-times the initial energy
- D three-times the initial energy
Answer & Solution
Correct Answer
(D) three-times the initial energy
Step-by-step Solution
Detailed explanation
We know that, We have, \(\lambda=\frac{h}{\sqrt{2 m k}}\) \(\therefore\) Kinetic energy \((K E) \propto \frac{1}{\lambda^2}\) Hence, \[ \frac{K E_2}{K E_1}=\left(\frac{\lambda_1}{\lambda_2}\right)^2 \] Here, \(\lambda_1=1 \mathrm{~nm}\)…
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