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Question: The maximum frequency and minimum wavelength of X- rays produced by 30kV electrons respectively is :...

The maximum frequency and minimum wavelength of X- rays produced by 30kV electrons respectively is :

A

7.24×1018Hz,0.041nm7.24 \times 10^{18}Hz,0.041nm

B

3.21×1018Hz,0.211nm3.21 \times 10^{18}Hz,0.211nm

C

5.32×1018Hz,0.001nm5.32 \times 10^{18}Hz,0.001nm

D

2.13×1018Hz,0.011nm2.13 \times 10^{18}Hz,0.011nm

Answer

7.24×1018Hz,0.041nm7.24 \times 10^{18}Hz,0.041nm

Explanation

Solution

: here, V=30kV,h=6.63×1034jsV = 30kV,h = 6.63 \times 10^{- 34}js

As eV=hυmaxeV = h\upsilon_{\max}

Or υeVh1.6×1019×3×1046.63×1034max{\upsilon\frac{eV}{h}\frac{1.6 \times 10^{- 19} \times 3 \times 10^{4}}{6.63 \times 10^{- 34}}}_{\max}

=7.24×1018Hz= 7.24 \times 10^{18}Hz