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(i) Show that the de-Broglie's wavelengt...

(i) Show that the de-Broglie's wavelength of electrons accelerated through a potential V volts can be expressed as
`lamda=(h)/(sqrt(meV))`.
What is the de-Broglie wavelength of a 2kg object moving with a speed of `1ms^(-1)` ?
(ii) Calculate the ratio of the accelerating potential required to accelerate (i) a proton and (ii) an `alpha` particle to have the same de-Broglie wavelength associated with them.
[Given: mass of proton `=1.6xx10^(-27)kg`. Mass of `alpha`-particle=`6.4xx10^(-27)kg`].

Text Solution

Verified by Experts

The correct Answer is:
(b) `8:1`
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