The ratio of momentum of an electron and an a | vedclass

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

Question

(D) The kinetic energy $K$ acquired by a particle of charge $q$ accelerated through a potential difference $V$ is given by $K = qV$.Since $K = p^2 / 2

Vedclass · Accepted Answer

$\sqrt{m_e/4m_\alpha}$

Vedclass · Answer

(D) The kinetic energy $K$ acquired by a particle of charge $q$ accelerated through a potential difference $V$ is given by $K = qV$.Since $K = p^2 / 2m$,where $p$ is the momentum and $m$ is the mass,we have $p = \sqrt{2mqV}$.For an electron,$q_e = e$ and mass is $m_e$. Thus,$p_e = \sqrt{2m_e eV}$.For an alpha particle,$q_\alpha = 2e$ and mass is $m_\alpha$. Thus,$p_\alpha = \sqrt{2m_\alpha (2e) V} = \sqrt{4m_\alpha eV}$.The ratio of momenta is $\frac{p_e}{p_\alpha} = \frac{\sqrt{2m_e eV}}{\sqrt{4m_\alpha eV}} = \sqrt{\frac{2m_e}{4m_\alpha}} = \sqrt{\frac{m_e}{2m_\alpha}}$.

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

Similar Questions

The de Broglie wavelength of a proton accelerated by a potential difference of $100 \ V$ is $\lambda_0$. If an alpha particle is accelerated by the same potential difference,its de Broglie wavelength will be:

What is the de-Broglie wavelength of a bullet of mass $0.033$ kg travelling at the speed of $1$ km/s? $(h = 6.6 \times 10^{-34} \text{ Js})$

$A$ proton and an alpha particle are accelerated under the same potential difference. The ratio of de-Broglie wavelengths of the proton and the alpha particle is

The graph which shows the variation of the de Broglie wavelength $(\lambda)$ of a particle and its associated momentum $(p)$ is

Kinetic energy of a proton is equal to energy $E$ of a photon. Let $\lambda_1$ be the de-Broglie wavelength of the proton and $\lambda_2$ be the wavelength of the photon. If $\left(\frac{\lambda_1}{\lambda_2}\right) \propto E^{n}$,then the value of $n$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module