Find the (a) maximum frequency and (b) minimum wavelength of X-rays pr

1.	Find the (a) maximum frequency and (b) minimum wavelength of X-rays produced by 30 kv electrons.
Answer» Given V = 30 kV = 30 × 10³ volt Energy, E = eV = 1.6 × 10^–19 × 30 × 10³ = 4.8 × 10^–15 joule (a) Maximum Frequency v_max is given by, E = hv_max v_max = E/h = (4.8 x 10^-15/6.63 x 10^-34 ) = 7.24 x 10¹⁸ Hz (b) Minimum wavelength,λ_min= c/V_max = 3x 10⁸/7.28 x10¹⁸ = 4.1 × 10^–11 m = 0.041 nm

Find the (a) maximum frequency and (b) minimum wavelength of X-rays produced by 30 kv electrons.

Answer»

Given V = 30 kV = 30 × 10³ volt

Energy, E = eV = 1.6 × 10^–19 × 30 × 10³ = 4.8 × 10^–15 joule

(a) Maximum Frequency v_max is given by, E = hv_max

v_max = E/h = (4.8 x 10^-15/6.63 x 10^-34 )

= 7.24 x 10¹⁸ Hz

(b) Minimum wavelength,λ_min= c/V_max = 3x 10⁸/7.28 x10¹⁸

= 4.1 × 10^–11 m = 0.041 nm

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Find the (a) maximum frequency and (b) minimum wavelength of X-rays produced by 30 kv electrons.

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