Question

If the operating voltage of X-ray tube is $50$kV then velocity of X-ray?

• A. $7.5\times {10}^{25}$ m/sec
• B. $3\times {10}^8$ m/sec
• C. ${10}^8$ m/sec
• D. $3$ m/sec

Answer 1

The correct option is A $7.5\times {10}^{25}$ m/sec

We know, wavelength of X-ray $\lambda =\frac{hv}{eV}$

Where h is the Plank's constant and $v$ is the required velocity.

$v=\frac{\lambda \times eV}{h}$

the minimum wavelength of X-ray is 0.01 nm.

So velocity,

$v=\frac{0.01\times {10}^{-9}\times 50\times {10}^3}{6.626\times {10}^{-34}}$

$v=0.0754\times {10}^{27}m/s=7.5\times {10}^{25}m/s$