Question

The voltage applied across an X-rays tube is nearly equal to

• A. 10 V
• B. 100 V
• C. 1000 V
• D. 10,000 V

Answer 1

The correct option is D

10,000 V

The explanation for the correct answer:-

Option (D)

Step 1: Given data

The voltage applied across an X-rays tube is nearly equal to

$V=\frac{hc}{e\lambda }$

In other words, the energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength.

where,

$h$= Planck's constant = $6.626x{10}^{-34}J·s$

$c$ = speed of light = $3x{10}^{8}m/sec$

$e$ = charge on electron = $1.6\times {10}^{-19}$

$\lambda$ = wavelength

Step 2: Calculating the voltage applied across an X-ray tube,

$=\frac{(6.6x{10}^{-34}x3x{10}^8)}{(1.6x{10}^{-19}x{10}^{-10})}$

$\cong 10,000V$

Hence, option (D) is the correct answer.