The wavelength of \( \mathrm{K}_{\alpha} \)-characteristic X-rays produced is \( \lambda \), whe...

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The wavelength of \( \mathrm{K}_{\alpha} \)-characteristic X-rays produced is \( \lambda \), when cathode rays strike on a metal of atomic number \( Z \). What should be the atomic number of metal such that it can produce the \( \mathrm{K}_{\alpha} \)-characteristic X-rays of wavelength \( 4 \lambda \) ?
(a) \( \frac{Z}{16} \)
(b) \( \frac{Z}{2} \)
(c) \( \frac{Z+1}{2} \)
(d) \( 2 Z-1 \)
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