When the voltage applied to an X-ray tube is increased 1.5 times,...

When the voltage applied to an X-ray tube is increased 1.5 times, the minimum wavelength of the continuous X-ray spectrum shifts by 26 pm . Find the initial voltage applied to the tube (approx)

Options

A16 kV
B20 kV
C22 kV
D26 kV

Correct answer

A. 16 kV

Step-by-step solution

\begin{aligned} & \lambda_1=\frac{h c}{e V_1} \\ & \lambda_2=\frac{h c}{e V_2} \\ & V_2=1.5 V_1 \\ & \left|\lambda_2-\lambda_1\right|=\frac{h c}{3 e V_1} \\ & 26 \times 10^{-12}=\frac{h c}{3 e V_1}\end{aligned}

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