Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut –off wavelength of the emitted X-rays is
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a
λ0=2mcλ2h
b
λ0=2hmc
c
λ0=2m2c2λ3h2
d
λ0=λ
answer is A.
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Detailed Solution
The cut off wavelength is given byλ0=hceV ……(i)According to de Broglie equationλ=hp=h2meV⇒λ2=h22meV⇒V=h22meλ2 ……(ii)From (i) and (ii),λ0=hc×2meλ2eh2=2mcλ2h