A particle of mass 9.1 times 10^{-31} , text{ | vedclass

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

Question

(D) The de-Broglie wavelength of a particle is given by $\lambda = \frac{h}{p} = \frac{h}{mv}$.For the particle:$\lambda_{pa} = \frac{h}{m v} = \frac{

Vedclass · Accepted Answer

$910$

Vedclass · Answer

(D) The de-Broglie wavelength of a particle is given by $\lambda = \frac{h}{p} = \frac{h}{mv}$.For the particle:$\lambda_{pa} = \frac{h}{m v} = \frac{h}{9.1 	imes 10^{-31} 	imes 10^{6}} = \frac{h}{9.1 	imes 10^{-25}} \quad (i)$For the photon:$\lambda_{ph} = \frac{h}{p} = \frac{h}{10^{-27}} \quad (ii)$Dividing equation $(ii)$ by equation $(i)$:$\frac{\lambda_{ph}}{\lambda_{pa}} = \frac{h / 10^{-27}}{h / (9.1 	imes 10^{-25})} = \frac{9.1 	imes 10^{-25}}{10^{-27}}$$\frac{\lambda_{ph}}{\lambda_{pa}} = 9.1 	imes 10^{2} = 910$Thus,the wavelength of the photon is $910$ times the wavelength of the particle.

$A$ particle of mass $9.1 \times 10^{-31} \, \text{kg}$ travels in a medium with a speed of $10^{6} \, \text{m/s}$ and a photon of radiation with linear momentum $10^{-27} \, \text{kg} \cdot \text{m/s}$ travels in vacuum. The wavelength of the photon is $....$ times the wavelength of the particle.

Similar Questions

The de Broglie wavelength associated with a proton under the influence of an electric potential of $100 \ V$ is

The potential difference $V$ required for accelerating an electron to have the de-Broglie wavelength of $1 \text{ Å}$ is (in $\text{ V}$)

The energy that should be added to an electron,to reduce its de-Broglie wavelength from $10^{-10} \ m$ to $0.5 \times 10^{-10} \ m$,will be

An $\alpha$-particle moves in a circular path of radius $0.83\, cm$ in the presence of a magnetic field of $0.25\, Wb/m^2$. The de Broglie wavelength associated with the particle will be .............. $\mathring{A}$.

An electron (of mass $m$) and a photon have the same energy $E$ in the range of a few $eV$. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is ($c =$ speed of light in vacuum).

Vedclass Test Series

Exam Paper Generator

Online Exam Module