Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

A proton, electron and an $\alpha$ particle are accelerated with same potential. Arrange their de-Broglies wavelengths in ascending order.

A. Wavelength of proton $=\left(\lambda_p\right)$
B. Wavelength of electron $=\left(\lambda_e\right)$
C. Wavelength of particle $=\left(\lambda_\alpha\right)$

Choose the correct answer from the options given below:

Options:

$\lambda_\alpha<\lambda_p<\lambda_e$

$\lambda_e<\lambda_\alpha<\lambda_p$

$\lambda_e<\lambda_p<\lambda_\alpha$

$\lambda_p<\lambda_\alpha<\lambda_e$

Correct Answer:

$\lambda_\alpha<\lambda_p<\lambda_e$

Explanation:

The correct answer is Option (1) → $\lambda_\alpha<\lambda_p<\lambda_e$

De-Broglie wavelength of a changed. Particle moving in an electric field is given by:

$i=\frac{h}{\sqrt{2 m q V}}$

$m_\alpha>m_p>m_e$

$\lambda_\alpha<\lambda_p<\lambda_e$