Question

The electron beam in a colour TV is accelerated through 32 kV and then strikes the screen. What is the wavelength of the most energetic X-ray photon?

Answer 1

The wavelength of most energetic x-ray photon is 38.8 pm.

Explanation:

It is given that

• The electron beam’s potential, $V=32 \times 103 V=32 \mathrm{kVl}$

• Energy is denoted as $\text { E. } E=32 \times 103 \text { eV }$

• X-ray photon’s wavelength, λ is shown as λ = hcE
• where,

• h = Constant of Planck

• c = light’s speed

• Therefore, λ = hcE ⇒λ = $1242 \text { e } \mathrm{V}_{\mathrm{n} \mathrm{m} 32} \times 103$$\Rightarrow \lambda=38.8 \times 10-3 \mathrm{nm}$

• ⇒λ = 38.8 × 10-3 nm

• ⇒λ = 38.8 pm

• So, the wavelength of most energetic x-ray photon is 38.8 pm.