SATHEE: Atomic Structure Question 199

Atomic Structure Question 199

Question: A photon of frequency n causes photoelectric emission from a surface with threshold frequency $n_{0}$ .The de Broglie wavelength $λ$ of the photoelectron emitted is given as

Options:

A) $Δ n = \frac{h}{2 m λ}$

B) $Δ n = \frac{h}{λ}$

C) $[\frac{1}{v_{0}} - \frac{1}{v}] = \frac{m c^{2}}{h}$

D) $λ = \sqrt{\frac{h}{2 m Δ n}}$

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Answer:

Correct Answer: D

Solution:

$E_{1} = I E + K E$ Or $E_{1} =$ threshold E (or) work function +KE $(h v = h v_{0} + \frac{1}{2} m u^{2})$ Or $h n = h n_{0} + \frac{1}{2} m u^{2}$

$\frac{1}{2} m u^{2} = h (n - n_{0}) = h Δ n$

$(λ = \frac{h}{m u}, ∴ u = \frac{h}{m λ})$ Substitute the value of u I equation (i) $\frac{1}{2} m . \frac{h^{2}}{m^{2} λ^{2}} = h Δ n$

$\frac{h}{2 λ^{2} m} = Δ n$

$∴$ $λ = \sqrt{\frac{h}{2 m Δ n}}$

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Atomic Structure Question 199

Question: A photon of frequency n causes photoelectric emission from a surface with threshold frequency $n_{0}$ .The de Broglie wavelength $λ$ of the photoelectron emitted is given as

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Atomic Structure Question 199

Question: A photon of frequency n causes photoelectric emission from a surface with threshold frequency n0 .The de Broglie wavelength λ of the photoelectron emitted is given as

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: A photon of frequency n causes photoelectric emission from a surface with threshold frequency $n_{0}$ .The de Broglie wavelength $λ$ of the photoelectron emitted is given as