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Please help me with my homework!!!! How to solve this problem? Electrons with K=

ID: 1724070 • Letter: P

Question

Please help me with my homework!!!! How to solve this problem?
Electrons with K=100eV are directed attwo narrow slits a distance d apart. Ifthe angle between the central maximum of the resulting interferencepattern and the next maximum is to be 1degree , What should dbe?
Answer is 7.04x10-9m Please help me with my homework!!!! How to solve this problem?
Electrons with K=100eV are directed attwo narrow slits a distance d apart. Ifthe angle between the central maximum of the resulting interferencepattern and the next maximum is to be 1degree , What should dbe?
Answer is 7.04x10-9m

Explanation / Answer

The wave length of the electron is             = h/(2mK) Here K = 100eV            h =6.626*10^-34 Js            m=9.11*10^-31kg      So = 1.227*10^-10m    We have the formula for constructive interferenceis                d sin = m       Here m =1                =6o                    On substitution ,we get                d = 7.04x10-9m