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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?

Text Solution

Verified by Experts

We know that `lambda = (h)/(m v)`
`m = 9.1 xx 10^(-31) kg, h = 6.63 xx 10^(-34) kg m^2 s^(-1)`
`v = 1%` of speed of light = `(1 xx 3.0 xx 10^8)/(100) ms^(-1)`
`=3.0 xx 10^6ms^(-1) ( :.` speed of light `= 3.0 xx 10^8 ms^(-1))`
`lambda = (6.63 xx 10^(-34) kg m^2 s^(-1))/((9.1 xx 10^(-31) kg) xx(3.0 xx 10^6 ms^(-1))) = 2.43 xx 10^(-10) m`.
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