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Which of the following should be the wav...

Which of the following should be the wavelength of an electron if its mass is `9.1xx10^(-31)kg` and its velocity is `1//10` of that of light and the value of `h` is `6.6252xx10^(-24)` joule second?

A

`2.446xx10^(-7)` metre

B

`2.246xx10^(-9)` metre

C

`2.246xx10^(-11)` metre

D

`2.246xx10^(-13)` metre

Text Solution

Verified by Experts

`m=9.1xx10^(-31)kg, " "c=(1)/(10)` of velocity of light `=(1)/(10)xx3xx10^(8)` metre/second i.e. `3xx10^(7)` metre/second
`h=6.6252xx10^(-34)` joule second
`lambda=(h)/(mc)=(6.6252xx10^(-34))/(9.1xx10^(-31)xx3xx10^(7))`
`=(6.6252xx10^(-34))/(27.3xx10^(-24))`
`=2.426xx10^(-11)` metre
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