Question

A particle is moving three times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is . Calculate the particle’s mass and identify the particle.

Solution

Correct option is

De-Broglie wavelength associated with a particle of mass m moving with a velocity v is given by 

           

For an electron, the wavelength is 

            

Dividing the two equations  

         

Here  

            

The substituting the values, we get 

        

   

  

             .  

This mass is of neutron.

SIMILAR QUESTIONS

Q1

The de Broglie wavelength of an electron moving with a velocity  is equal to that a photon. The ratio of the kinetic energy of the electron to that of the photon is 

Q2

The distance of the closest approach of an alpha particle fired at a nuclear with momentum p is r0. The distance of the closest approach when the alpha particle is fired at the same nucleus with momentum 2p will be   

Q3

In the Bohr model of the hydrogen atom, the ratio of the kinetic energy to the total energy of the electron in a quantum state n is

Q4

The mass per nucleon in a heavy hydrogen atom is

Q5

When high energy alpha-particle  pass through nitrogen gas, an isotope of oxygen is formed with the emission of particles named x. The nuclear reaction is

           

what is the name of x?

Q6

The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy K is 0. The distance of the closest approach when the alpha particle is fired at the same nucleus with kinetic energy 2K will be

Q7

 

Calculate de-Broglie wavelength for electron and proton moving with same speed of 105 ms–1.

Q8

Calculate the de-Broglie wavelength of a proton of kinetic energy 500 eV. The mass of proton is 

.

Q9

For what kinetic energy of a neutron will the associated de-Broglie wavelength be ? The mass of neutron is 

Q10

An electron and a photon each has a wavelength 1.00 nm. Find their momenta. Given,