Question

The kinetic energy of a charged particle is increased to four times of its initial value. The de Broglie wavelength associated with the particle will :

• A. increase by \(100\%\) of its initial value.
• B. increase by \(50\%\) of its initial value.
• C. decrease by \(25\%\) of its initial value.
• D. decrease by \(50\%\) of its initial value.

Hint:

Remember the important relation \[ \lambda\propto\frac{1}{\sqrt{K}}. \] If kinetic energy becomes \(n\) times, the wavelength becomes \(1/\sqrt{n}\) times.

Answer 1

The Correct Option is D