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.

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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

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Q3

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Q4

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Q5

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what is the name of x?

Q6

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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,