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Question

When light of sufficiently high frequency is incident on a metallic surface, electrons are emitted from the metallic surface. This phenomenon is called photoelectric emission. Kinetic energy of the emitted photoelectrons depends on the wavelength of incident light and is independent of the intensity of light. Number of emitted photoelectrons depends on intensity. (hνϕ) is the maximum kinetic energy of emitted photoelectrons (where ϕ is the work function of metallic surface). Reverse effect of photo emission produces X-ray. X-ray is not deflected by electric and magnetic fields. Wavelength of a continuous X-ray depends on potential difference across the tube. Wavelength of characteristic X-ray depends on the atomic number. If potential difference across the tube is increased then:

A
λmin will decrease
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B
characteristic wavelength will increase
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C
λmin will increase
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D
none of these
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Solution

The correct option is A λmin will decrease
If the potential difference across the tube is increased, emitted X-rays have higher energies.
Energy of X-rays E=hcλ
Or λ1E
Thus λmin will decrease.

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