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Question: Stopping potentials of 24, 100, 110, 115 kV are measured for photoelectrons emitted from a certain e...

Stopping potentials of 24, 100, 110, 115 kV are measured for photoelectrons emitted from a certain element when it is irradiated with monochromatic X-rays. The element is used as a target in an X-ray tube. The energy of Kα line is–

A

54 KeV

B

76 KeV

C

88 KeV

D

32 KeV

Answer

76 KeV

Explanation

Solution

Let EK, EL, EM, EN be the binding energies of K, L, M and N shell. Let EP be energy of incident photon. Then

EP – EK = 24 KeV ... (1)

EP – EL = 100 KeV ... (2)

EP – EM = 110 KeV .... (3)

E(Kα) = EK – EL = 100 – 24 = 76 KeV