A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave Ex=36 sin (1.20 × 107 z-3.6 × 1015 t) V / m The average intensity of beam in watt/(metre) 2 will be

Question

A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave Ex=36 sin (1.20 × 107 z-3.6 × 1015 t) V / m The average intensity of beam in watt/(metre) 2 will be (A) 6.88 (B) 3.44 (C) 1.72 (D) 0.86

Tardigrade Admin · Accepted Answer

I avg =(1/2) ε0 E02 × c=1.719 W / m 2

Q. A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave $E_{x} = 36 sin (1.20 \times 1 0^{7} z - 3.6 \times 1 0^{15} t) V / m$ The average intensity of beam in watt/(metre) $^{2}$ will be

6.88

3.44

1.72

0.86

$I_{a vg} = \frac{1}{2} ε_{0} E_{0}^{2} \times c = 1.719 W / m^{2}$

Q. A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave Ex​=36sin(1.20×107z−3.6×1015t)V/m The average intensity of beam in watt/(metre) 2 will be