Calculate highest frequency of X-rays emitted
if bombarded electrons are accelerated at
30kV.
यदि 30 kV पर त्वरित इलेक्ट्रॉन्स की बमबारी लक्ष्य
पर की जाए तो उत्सर्जित एक्स-रे की उच्चतम
आवृत्ति की गणना करें।
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12th
Physics
Electromagnetic Waves
Properties and Uses of Different Radiation
Find the(a) maximum frequen...
PHYSICS
Find the
(a) maximum frequency
(b) Minimum wavelength of X-rays produced by 30 kV electrons.
MEDIUM
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ANSWER
(a). Potential of the electrons, V=30kV=3×10
4
V
Hence, energy of the electrons, E=3×104eV
Where,
e = Charge on an electron = 1.6×10
−19
C
Maximum frequency produced by the X-rays is ν
The energy of the electrons is given by the relation is E=hν
Where,
h = Planck’s constant = 6.626×10
−34
Js
ν=E/h=7.24×10
18
Hz
(b). Energy of a electron, E=30×10
3
eV
Let Maximum frequency produced by the X-rays be ν
ν=E/h=1.6×10
−19
×3×10
4
/6.626×10
−34
=7.24×10
18
Hz where h is the planck's constant.
The minimum wavelength produced by the X-rays is given as-
λ=c/ν=0.0414nm
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