The ratio of momenta of an electron and an al | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The momentum $p$ of a charged particle accelerated from rest through a potential difference $V$ is given by $p = \sqrt{2mK}$,where $K = qV$ is the

Vedclass · Accepted Answer

$\sqrt{\frac{m_e}{2m_\alpha}}$

Vedclass · Answer

(D) The momentum $p$ of a charged particle accelerated from rest through a potential difference $V$ is given by $p = \sqrt{2mK}$,where $K = qV$ is the kinetic energy.Thus,$p = \sqrt{2mqV}$.Since $V$ is the same for both particles,the ratio of momenta is $\frac{p_e}{p_\alpha} = \sqrt{\frac{m_e q_e}{m_\alpha q_\alpha}}$.For an electron,$q_e = e$. For an $\alpha$-particle,$q_\alpha = 2e$.Substituting these values,we get $\frac{p_e}{p_\alpha} = \sqrt{\frac{m_e \cdot e}{m_\alpha \cdot 2e}} = \sqrt{\frac{m_e}{2m_\alpha}}$.

The ratio of momenta of an electron and an $\alpha$-particle which are accelerated from rest by a potential difference of $100\, V$ is

Similar Questions

For $x \in \mathbb{R}$,the least value of $\frac{x^2-6x+5}{x^2+2x+1}$ is

$A$ sphere is suspended by a thread of length $l$. What minimum horizontal velocity has to be imparted to the ball for it to reach the height of the suspension point?

Identify $A, B$ and $C$ in the following reactions:
$CH_3 Cl$ $\xrightarrow{KCN} A$ $\xrightarrow{H_3 O^{\oplus}} B$ $\xrightarrow{C_2 H_5 OH / H^{+}, \Delta} C$

$A$ plane passing through $(-1, 2, 3)$ and whose normal makes equal angles with the coordinate axes is

Vedclass Test Series

Exam Paper Generator

Online Exam Module