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What is the minimum \mathrm{x}- ray wave length produced when electrons are accelerated through a potential of \mathrm{50000 \mathrm{~V}}?
\mathrm{\left(h=6.63 \times 10^{-34} \mathrm{Js}, c=3 \times 10^8 \mathrm{~m} / \mathrm{s}, 1 e v=1.6 \times 10^{-19} \mathrm{~J}\right)}

Option: 1

\mathrm{19.6 \times 10^{-12} \mathrm{~m}}


Option: 2

\mathrm{24.9 \times 10^{-12} \mathrm{~m}}


Option: 3

\mathrm{35.8 \times 10^{-12} \mathrm{~m}}


Option: 4

\mathrm{68.3 \times 10^{-12} \mathrm{~m}}


Answers (1)

best_answer

formula used \mathrm{\lambda_{\text {min }}=\frac{h c}{e v}}
where \mathrm{v=} potential given
\mathrm{\lambda_{\text {min }}=\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{1.6 \times 10^{-19} \times 50000}}
\mathrm{\lambda_{\text {min }}=24.9 \times 10^{-12} \mathrm{~m}}

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