A laser beam has intensity 17.7×10^14 W/m^2. The amplitude of the electric field is [Use ε_0=8.85×10^(-12)C^2N-M^2]

Correct answer: (D) 2√3×10^9 N C^(-1). Intensity of electromagnetic wave is given by, I=1/2ε_0E0^2c Putting all the corresponding values, we have ⇒17.7×10^14=1/2×8.85×10^(-12)×E0^2×3×10^8 ⇒E0^2=(4×10^18)/3 ⇒E_0=√(4×10^183)=2×10^9√3 N C^(-1)

Q154 / 160 · TS EAMCET 2021 (05 Aug Shift 2) · Physics

A laser beam has intensity $17.7 \times 10^{14} W / m^{2} .$ The amplitude of the electric field is
[Use $ε_{0} = 8.85 \times 10^{- 12} \frac{C^{2}}{N - M^{2}}$ ]

A
$\frac{10}{\sqrt{3}} \times 10^{9} N C^{- 1}$
B
$10^{10} N C^{- 1}$
C
$\frac{\sqrt{3}}{2} \times 10^{9} N C^{- 1}$
Correct answer
D
$\frac{2}{\sqrt{3}} \times 10^{9} N C^{- 1}$

Solution

Intensity of electromagnetic wave is given by,

I = \frac{1}{2} ε_{0} {E_{0}}^{2} c

Putting all the corresponding values, we have

\Rightarrow 17.7 \times 10^{14} = \frac{1}{2} \times 8.85 \times 10^{- 12} \times {E_{0}}^{2} \times 3 \times 10^{8}

\Rightarrow {E_{0}}^{2} = \frac{4 \times 10^{18}}{3}

\Rightarrow E_{0} = \sqrt{\frac{4 \times 10^{18}}{3}} = \frac{2 \times 10^{9}}{\sqrt{3}} N C^{- 1}

Hence, the correct answer is option: 'D'.

Relevant Questions

If the rate of change of electric field across the plates of a parallel plate capacitor is and the displacement current is I, then the area 04 May, 2025 (M)Electromagnetic Waves and Maxwell's equations
If the electric field of a plane electromagnetic wave is , then the magnetic field of the wave is04 May, 2025 (E)Electromagnetic Waves and Maxwell's equations
If the rate of change in electric flux between the plates of a capacitor is , then the displacement current inside the capacitor is03 May, 2025 (M)Electromagnetic Waves and Maxwell's equations
The amplitude of the electric field associated with a light beam of intensity is03 May, 2025 (E)Electromagnetic Waves and Maxwell's equations
The dielectric constant of a medium is 8 and its relative permeability is 200. If an electromagnetic wave of frequency 100 MHz travels in th02 May, 2025 (M)Electromagnetic Waves and Maxwell's equations
If electromagnetic waves of power 600 W incident on a non-reflecting surface, then the total force acting on the surface is02 May, 2025 (E)Electromagnetic Waves and Maxwell's equations

A laser beam has intensity 17.7×1014 W/m2. The amplitude of the electric field is[Use ε0=8.85×10-12C2N-M2]

Solution

Relevant Questions

A laser beam has intensity $17.7 \times 10^{14} W / m^{2} .$ The amplitude of the electric field is
[Use $ε_{0} = 8.85 \times 10^{- 12} \frac{C^{2}}{N - M^{2}}$ ]