The wavelength of an electron and a neutron w | vedclass

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

Question

(B) Given that the de Broglie wavelengths are equal: $\lambda_{e} = \lambda_{N}$.Using the de Broglie relation $\lambda = \frac{h}{mv}$,we have $\frac

Vedclass · Accepted Answer

$1758$

Vedclass · Answer

(B) Given that the de Broglie wavelengths are equal: $\lambda_{e} = \lambda_{N}$.Using the de Broglie relation $\lambda = \frac{h}{mv}$,we have $\frac{h}{m_{e} v_{e}} = \frac{h}{m_{N} v_{N}}$.This simplifies to $m_{e} v_{e} = m_{N} v_{N}$,or $v_{e} = \frac{m_{N}}{m_{e}} v_{N}$.Given $v_{e} = x \ v_{N}$,we have $x = \frac{m_{N}}{m_{e}}$.Substituting the values: $x = \frac{1.6 	imes 10^{-27} \ kg}{9.1 	imes 10^{-31} \ kg}$.$x = \frac{1.6}{9.1} 	imes 10^{4} = 0.175824 	imes 10^{4} = 1758.24$.The nearest integer value of $x$ is $1758$.

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of the neutron. The value of $x$ is (Nearest Integer). (Mass of electron is $9.1 \times 10^{-31} \ kg$ and mass of neutron is $1.6 \times 10^{-27} \ kg$)

Similar Questions

The wavelength associated with an electron moving with a velocity of $10^8 \, cm/s$ is ........ $\mathop {\rm{A}}\limits^{\rm{o}} $.

Two base balls (masses: $m_1 = 100 \ g$ and $m_2 = 50 \ g$) are thrown. Both of them move with uniform velocity, but the velocity of $m_2$ is $1.5$ times that of $m_1$. The ratio of de Broglie wavelengths $\lambda(m_1) : \lambda(m_2)$ is given by

The wavelength of the electron emitted by a metal sheet of work function $4 \ eV$ when photons from $EMR$ of wavelength $124 \ nm$ strike the metal plate is ........... $nm$.

Wavelength of $H^{+}$ ion with kinetic energy $1.65 \ eV$ is (mass of proton $= 1.6726 \times 10^{-27} \ kg$) (in $nm$)

The mass of a particle is $1 \, mg$ and its velocity is $4.5 \times 10^5 \, cm/s$. What will be the wavelength of this particle? $(h = 6.652 \times 10^{-27} \, erg \cdot s)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module