If the operating potential in an X-ray tube is increased by 1%, by what percentage does the cut-off wavelength decrease?
Given:
Let
λ be the cut off wavelength and V be the operating potential in the X-ray tube.
Then,
Here,
h = Planck’s constant
c = Speed of light
If the operating voltage is increased by 1%, then the new operating voltage will be given by
V’=V+1/100×V= 1.01
V Cut-off wavelength on increasing the operating voltage is given by
difference in wavelength =
Percentage change in the wavelength is given by
=11.01=0.9901 = 1% (approx.)