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A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :
  • a)
    1.34 V/m
  • b)
    2.68 V/m
  • c)
    4.02 V/m 
  • d)
    5.36 V/m
Correct answer is option 'A'. Can you explain this answer?
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A lamp emits monochromatic green light uniformly in all directions. Th...
Given:
- Power consumed by the lamp, P = 100 W
- Efficiency of the lamp, e = 3%
- Distance of observation point from the lamp, r = 5 m

To find:
- Amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp

Formula used:
- Intensity of radiation, I = (P × e) / (4πr²)
- Amplitude of electric field, E = √(2I/μ₀)

where,
- μ₀ = Permeability of free space = 4π × 10⁻⁷ Tm/A

Calculation:
- Substituting the given values in the formula for intensity of radiation, we get:
I = (100 × 0.03) / (4π × 5²) = 0.0024 W/m²
- Substituting the value of I and μ₀ in the formula for amplitude of electric field, we get:
E = √[2 × 0.0024 / (4π × 10⁻⁷)] = 1.34 V/m

Therefore, the amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly 1.34 V/m, which is option (a).
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A lamp emits monochromatic green light uniformly in all directions. Th...
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A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :a)1.34 V/mb)2.68 V/mc)4.02 V/md)5.36 V/mCorrect answer is option 'A'. Can you explain this answer?
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A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :a)1.34 V/mb)2.68 V/mc)4.02 V/md)5.36 V/mCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :a)1.34 V/mb)2.68 V/mc)4.02 V/md)5.36 V/mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :a)1.34 V/mb)2.68 V/mc)4.02 V/md)5.36 V/mCorrect answer is option 'A'. Can you explain this answer?.
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