Which of the following statements are correct for an X-ray tube?

Options

A. On increasing potential difference between filament and target, photon flux of x-rays increases
B. On increasing potential difference between filament and target, frequency of x-rays increases
C. on increasing filament current, cut-off wavelength increases.
D. On increasing filament current intensity of x-rays increaes

Answer

To determine which statements are correct for an X-ray tube, we will analyze the effects of increasing the potential difference and the filament current.

### Step-by-Step Solution:

1. **Understanding the X-ray Tube**:
An X-ray tube consists of a cathode (filament) and an anode (target). When a high voltage is applied between the cathode and anode, electrons are accelerated towards the anode, where they produce X-rays upon collision.

2. **Effect of Increasing Potential Difference**:
- When the potential difference (V) between the filament (cathode) and the target (anode) is increased, the energy of the electrons increases.
- This increased energy results in a higher frequency of the emitted X-rays.
- Therefore, the statement regarding the increase in frequency due to the increase in potential difference is correct.

3. **Effect of Increasing Filament Current**:
- The filament current controls the temperature of the filament, which in turn affects the number of electrons emitted (thermionic emission).
- Increasing the filament current leads to an increase in the number of electrons available to hit the target.
- This results in an increase in the intensity of the X-rays produced.
- Therefore, the statement regarding the increase in intensity due to the increase in filament current is also correct.

4. **Conclusion**:
- Based on the analysis, we can conclude that:
- Statement B (increase in frequency with increased potential difference) is correct.
- Statement D (increase in intensity with increased filament current) is correct.

### Final Answer:
The correct statements for an X-ray tube are:
- Statement B: Correct
- Statement D: Correct