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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
X-rays

Concepts Of Physics MCQ Edition [Volume 2] · Physics · X-rays

Operating at 40 kV , an X-ray tube has an electric current of 10 mA...

Operating at 40 kV40 \text{ kV}, an X-ray tube has an electric current of 10 mA10 \text{ mA} flowing from the target to the filament. Assuming that, on average, 1%1\% of the total kinetic energy of the electrons striking the target is converted into X-rays, determine the total power emitted as X-rays.

Options

  1. A40 W40 \text{ W}
  2. B4 W4 \text{ W}
  3. C400 W400 \text{ W}
  4. D396 W396 \text{ W}

Correct answer

B. 4 W4 \text{ W}

Step-by-step solution

The total electrical power supplied to the X-ray tube is given by Pin=VIP_{in} = VI.

Substituting the given values:

Pin=40×103×10×10−3=400 WP_{in} = 40 \times 10^3 \times 10 \times 10^{-3} = 400 \text{ W}

This is the total kinetic energy of the electrons striking the target per second.

Since 1%1\% of this energy is converted into X-rays, the total power emitted as X-rays is:

PX=1100×PinP_{X} = \dfrac{1}{100} \times P_{in}

PX=1100×400=4 WP_{X} = \dfrac{1}{100} \times 400 = 4 \text{ W}
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