Question

The kinetic energy of an electron get tripled then the de-Broglie wavelength associated with it changes by a factor

• A. \( \frac{1}{3} \)
• B. \( \sqrt{3} \)
• C. \( 3 \)
• D. \( 3^{1/2} \)

Hint:

The de-Broglie wavelength \( \lambda \) is related to the kinetic energy \( E \) by \( \lambda \propto \frac{1}{\sqrt{E}} \).

Answer 1

The Correct Option is C

The de-Broglie wavelength is inversely proportional to the square root of the kinetic energy. If the kinetic energy is tripled, the wavelength decreases by a factor of \( \sqrt{3} \). Thus, the wavelength will change by a factor of 3.

Step 2: Conclusion.
The wavelength changes by a factor of 3, corresponding to option (c).