Question

Two particles of masses m and 2m have equal kinetic energies. Their de Broglie wavelength are in the ratio of 

Solution

Correct option is

The de Broglie wavelength of a particle of mass m moving with a speed vis given by 

           

Kinetic energy 

              

     

Therefore, 

             

Since k is the same for both particles, we have 

            

                

                .

SIMILAR QUESTIONS

Q1

What percentage of original radioactive atoms is left after four half lives

Q2

No atoms of radioactive element emit N2 beta particles per second. The decay constant of element in sec–1 is

Q3

A radioactive element has half life period 800 yrs. After 6400 yrs what amount will remain

Q4

A nucleus  emits one alpha particle and two β-particle The resulting nucleus is

Q5

A sample of a radioactive element has a mass of 10g at an instant t = 0. The oppropriate mass of this element in the element in the sample after two mean lives is

Q6

If the half lives of a radioactive element that decays in 6 days is 7/8. The fraction that decays in 10 days will be

Q7

The wavelength  of de Broglie waves associated with an electron (massm, charger e) accelerated through a potential difference of V is given by (his Planck’s constant)  

Q8

A proton, when accelerated through a potential difference of V volts, has a wavelength  associated with it. If an alpha particle ius to have the same wavelength , it must be accelerated through a potential difference of

Q9

A proton and an electron move with the same velocity. The associated wavelength for proton is

Q10

The wavelength of de Broglie wave associated with a thermal neutron of mass m at absolute temperature T is given by (here k is the Boltzmann constant)