Question 1 of 10intermediate🔧 ApplyNumerical3 marks

Find the (a) maximum frequency, and (b) minimum wavelength of X-rays produced by 30 kV electrons.

(a)
Answer

7.24×7.24 \times 10^{18}$$ Hz

(b)
Answer

4.14×4.14 \times 10^{-11}$$ m (or 0.0414 nm)

Explanation

When electrons accelerated through 30 kV strike a target, they produce X-rays. The maximum energy of an X-ray photon equals the kinetic energy gained by the electron (eV). Using the relation E = hν from the photoelectric equation context, we can find maximum frequency. For minimum wavelength, we use c = λν. The minimum wavelength corresponds to maximum frequency (and maximum energy) of the X-rays produced.