jee-advanced 2007 Q9

jee-advanced · India · paper2 Not Maths

9. Electrons with de-Broglie wavelength $\lambda$ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is
(A) $\lambda _ { 0 } = \frac { 2 m c \lambda ^ { 2 } } { h }$
(B) $\quad \lambda _ { 0 } = \frac { 2 h } { m c }$
(C) $\lambda _ { 0 } = \frac { 2 m ^ { 2 } c ^ { 2 } \lambda ^ { 3 } } { h ^ { 2 } }$
(D) $\lambda _ { 0 } = \lambda$ Answer
D [Figure] [Figure] [Figure]
(A)
(B)
(C)
(D)

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then,

9. Electrons with de-Broglie wavelength $\lambda$ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is\\
(A) $\lambda _ { 0 } = \frac { 2 m c \lambda ^ { 2 } } { h }$\\
(B) $\quad \lambda _ { 0 } = \frac { 2 h } { m c }$\\
(C) $\lambda _ { 0 } = \frac { 2 m ^ { 2 } c ^ { 2 } \lambda ^ { 3 } } { h ^ { 2 } }$\\
(D) $\lambda _ { 0 } = \lambda$\\
Answer\\
D\\
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\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-04_98_94_2298_618}\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-04_96_93_2298_756}\\
(A)\\
(B)\\
(C)\\
(D)\\

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