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The wavelength of matter waves associate...

The wavelength of matter waves associated with an electron of mass m having kinetic energy E is given by (h is Planck's constant)

A

`(2h)/(mE)`

B

2mhE

C

`(2 sqrt(2mE))/(h)`

D

`(h)/(sqrt(2mE))`

Text Solution

Verified by Experts

The correct Answer is:
D
If p is the momentum, `E = (p^(2))/(2m)`
or, `p = sqrt(2mE)`
`:.` Wavelength of the associated matter wave `= (h)/(p) = (h)/(sqrt(2mE))`
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