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QPages 395-396: Q6: HC Verma: Concepts of Physics - Volume 2 X-Rays Pages 395-396: Q6 Solution: If the operating potential in an X-ray tube is increased by 1%, …

If the operating potential in an X-ray tube is increased by 1%, by what percentage does the cutoff wavelength decrease? Use Planck constant h=6.63×10−34 Js=4.14×10−15 eVsh = 6.63 \times 10^{-34} \text{ Js} = 4.14 \times 10^{-15} \text{ eVs}, speed of light c=3×108 m/sc = 3 \times 10^8 \text{ m/s}.)

Step-by-Step Verified Solution

**Answer:** The cutoff wavelength decreases by approximately 1%. **Step-by-Step Explanation:** Cutoff wavelength: __min = hc/eV. If V increases by 1%, new V' = 1.01V. New wavelength: _'_min = hc/(e _ 1.01V) = __min / 1.01 � 0.99 __min. Decrease = (1 - 0.99) _ 100% = 1% [citation:8].

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