Question

The de-Broglie wavelength of a moving bus with speed \( v \) is \( \lambda \). Some passengers left the bus at a stoppage. Now when the bus moves with twice of its initial speed, its kinetic energy is found to be twice its initial value. What is the de-Broglie wavelength of the bus now?

• A. \( \lambda \)
• B. \( 2\lambda \)
• C. \( \frac{\lambda}{2} \)
• D. \( \frac{\lambda}{4} \)

Hint:

De-Broglie: \begin{itemize} \item \( \lambda \propto \frac{1}{mv} \). \item Track both mass and velocity changes. \end{itemize}

Answer 1

The Correct Option is C