Question

Let $p$ and $E$ denote the linear momentum and energy, respectively, of a proton. If the wavelength is decreased

• A. Both $p$ and $E$ increase
• B. $p$ increases and $E$ decreases
• C. $p$ decreases and $E$ increases
• D. Both $p$ and $E$ decrease

Answer 1

The correct option is A Both $p$ and $E$ increase

Energy $E=h\nu =\frac{hc}{\lambda }$ and momentum $p=\frac{h}{\lambda }$

Thus energy and momentum are inversely proportional to wavelength.

So when wavelength $\left(\lambda \right)$ is decreased, both energy E and momentum p will increase.