Dual Nature Of Matter Question 10

Question 10 - 31 January - Shift 1

If a source of electromagnetic radiation having power $15 kW$ produces $10^{16}$ photons per second, the radiation belongs to a part of spectrum is.

(Take Planck constant $h=6 \times 10^{-34} Js$ )

(1) Micro waves

(2) Ultraviolet rays

(3) Gamma rays

(4) Radio waves

Show Answer

Answer: (3)

Solution:

Formula: Energy

Energy of one photon $=\frac{\text{ Power }}{\text{ Photon frequency }}$

$E=h \nu=\frac{15 \times 10^{3}}{10^{16} m}$

$v=\frac{15 \times 10^{-13}}{6 \times 10^{-34}}=2.5 \times 10^{21}$

So gamma Rays. Option 3