An electron beam is accelerated by a potential difference V to hit a metallic target to produce X - rays. It produces continuous as well as characteristic X - rays. If λ m i n is the smallest possible

Question

An electron beam is accelerated by a potential difference V to hit a metallic target to produce X - rays. It produces continuous as well as characteristic X - rays. If λ m i n is the smallest possible wavelength of X - ray in the spectrum, the variation of log λ m i n with log V is correctly represented in :

TestHub · Accepted Answer

K . E . = e V , K E = The kinetic energy of electron The maximum energy of photon = K . E . e V = h C λ m i n ⇒ λ m i n V = h C e = constant Taken log in both sides ln λ min + ln V = ln constant ⇒ ln λ min = - ln V + ln ( c o n s t a n t ) y = - a x + c the straight line of negative slope.

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