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Q.

An α-particle has initial kinetic energy of 25eV and it is accelerated through a potential difference of 150 volt. If a proton has initial kinetic energy of 25eV and it is accelerated through a potential difference of 25 volt, then, find the approximate ratio of the final wavelengths associated with the proton and the α-particle

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a

2

b

3

c

4

d

5

answer is A.

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Detailed Solution

The final wavelengths associated with the proton and the α-particle is , 

λα=0.101150+252Å; λP=0.28650

⇒λPλα=162.550×0.2860.101 =5

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