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A proton moves with speed (c )/(10).Its ...

A proton moves with speed `(c )/(10)`.Its de-Broglie wavelength will be……
`(h=6.63xx10^(-34)Js,m_(p)=1.673xx10^(-27)Kg)`

A

0.1321 Å

B

1.321 Å

C

`0.1321xx10^(-2)Å`

D

`1.321xx10^(-4)Å`

Text Solution

Verified by Experts

The correct Answer is:
D

`p=(h)/(lambda)=m_(p)v`
`therefore lambda =(h)/(m_(p)v)`
but `v=(c )/(10)=(3xx10^(8))/(10)=3xx10^(7) m//s` and
`m_(p)=1.0078xx1.66xx10^(-27)`kg
`-1.673xx10^(-27)kg`
`therefore lambda=(6.63xx10^(-34))/(1.673xx10^(-27)xx3xx10^(7))`
`=1.321xx10^(-14)m`
`=1.321xx10^(-4)Å`
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