An electron accelerated under a potential difference V volt has a certain wavelength λ . Mass of proton is some 2000 times of the mass of the electron. If the proton has to have the same wavelength λ

Question

An electron accelerated under a potential difference V volt has a certain wavelength λ . Mass of proton is some 2000 times of the mass of the electron. If the proton has to have the same wavelength λ , then it will have to be accelerated under a potential difference of

TestHub · Accepted Answer

According to question λ e ​ = λ P ​ ∴ ∴ ​ or 2 m e ​ Q e ​ V ​ h ​ = 2 m p ​ Q p ​ V p ​ ​ h ​ m e ​ Q e ​ V = m p ​ Q p ​ V p ​ V p ​ = ( m p ​ m e ​ ​ ) ( Q p ​ Q e ​ ​ ) V = ( 2000 1 ​ ) ( 1 ) V = 2000 V ​ v o lt ​

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