Modern Physics 4 Question 31
32. When the number of electrons striking the anode of an X-ray tube is increased the of the emitted X-rays increases, while when the speeds of the electrons striking the anode are increased the cut-off wavelength of the emitted X-rays
(1986, 2M)
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Solution:
- Cut-off wavelength is given by
$$ \left.\lambda _{\min }=\frac{12375}{V(\text { in volts })} \text { (in } \AA\right) $$
with increase in applied voltage $V$, speed of electrons striking the anode is increased or cut-off wavelength of the emitted $X$-rays decreases.
Further, with increase in number of electrons striking the anode more number of photons of X-rays will be emitted. Therefore, intensity of X-rays will increase.