WBJEE · Physics · Atomic Physics
Two elements \(A\) and \(B\) with atomic numbers \(Z_{A}\) and \(Z_{B}\) are used to produce characteristic X-rays with frequencies \(v_{A}\) and \(v_{B}\) respectively. If \(Z_{A}: Z_{B}=1: 2,\) then \(v_{A}: v_{B}\) will be
- A \(1: \sqrt{2}\)
- B \(1: 8\)
- C \(4: 1\)
- D \(1: 4\)
Answer & Solution
Correct Answer
(D) \(1: 4\)
Step-by-step Solution
Detailed explanation
Given \(Z_{A}: Z_{B}=1: 2\) We know \(v \propto Z^{2}\) Hence, \(\begin{array}{l} \frac{v_{A}}{v_{B}}=\frac{(1)^{2}}{(2)^{2}} \\ v_{A}: v_{B}=1: 4 \end{array}\)
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