For a given material, the energy and wavelength of characteristic X-rays satisfy
(a) E(K_α) > E(K_β) > E(K_γ)
(b) E(M_α) > E(L_α) > E(K_α)
(c) λ(K_α) > λ(K_β) > λ(K_γ)
(d) λ(M_α) > λ(L_α) > λ(K_α).

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Solution

(c) λ(K_α) > λ(K_β) > λ(K_γ)
(d) λ(M_α) > λ(L_α) > λ(K_α)

The K_γtransition (from the N shell to the K shell) involves more energy than the K_β transition (from the M shell to the K shell), which has more energy than the K_α transition (from the L shell to the K shell).
As the energy varies inversely with the wavelength,
λ(K_α) > λ(K_β) > λ(K_γ)

The M_αtransition is due to the jumping of an electron from the N shell to the M shell and involves less energy than the L_α transition (from the M shell to the L shell), which involves less energy than the K_αtransition (from the L shell to the K shell).
As the energy varies inversely with the wavelength,
λ(M_α) > λ(L_α) > λ(K_α)

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