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The ratio of the de-Broglie wavelengths ...

The ratio of the de-Broglie wavelengths of an electron of energy 10 eV to that of a person of mass 66kg traveling with a speed of `100km//h` is of the order of

A

`10^(34)`

B

`10^(27)`

C

`10^(17)`

D

`10^(-10)`

Text Solution

Verified by Experts

The correct Answer is:
B
`lamda_e =h/(sqrt(2mk))`
and `lamda_("person")=h/(mv)`
`lamda_e/lamda_("person")=(mv)/(sqrt(2mk))=( 66xx100 xx5/18)/(sqrt(2 xx9.1 xx10^(-19)))`
`= 1.07 xx10^(27)`
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