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(C) The filament current determines the number of electrons emitted from the cathode per unit time. Increasing the filament current increases the numb

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the intensity as well as the minimum wavelength increase

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(C) The filament current determines the number of electrons emitted from the cathode per unit time. Increasing the filament current increases the number of electrons hitting the target, which leads to an increase in the intensity of the emitted $X$-rays.The accelerating potential difference $(V)$ determines the maximum energy of the electrons, given by $E = eV$. The minimum wavelength $(\lambda_{\min})$ of the emitted $X$-rays is related to the accelerating potential by the formula $\lambda_{\min} = \frac{hc}{eV}$.Since the potential difference $(V)$ is decreased, the denominator in the expression for $\lambda_{\min}$ decreases, which causes the minimum wavelength $(\lambda_{\min})$ to increase.Therefore, the intensity increases and the minimum wavelength increases.

The filament current in the electron gun of a Coolidge tube is increased while the potential difference used to accelerate the electrons is decreased. As a result, in the emitted radiation

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