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The periodic waves of intensities I₁ and I₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is:
Options
(a) I₁ + I₂
(b) (√I₁ + √I₂)²
(c) (√I₁ – √I₂)²
(d) 2 (I₁ + I₂)
Correct Answer:
2 (I₁ + I₂)
Explanation:
The resultant intensity of two periodic waves at a point is given by
I = I₁ + I₂ + 2 √I₁I₂ . cos ?.
Resultant intensity is max. if cos ? = -1
i.e Iₘₐₓ = I₁ + I₂ + 2 √I₁I₂
Resultant intensity is min. if cos ? = +1
i.e, Iₘᵢₙ = I₁ + I₂ – 2 √I₁I₂
Therefore, the sum of the max. and min. intensities is Iₘₐₓ + Iₘᵢₙ
= I₁ + I₂ + 2 √I₁I₂ + I₁ + I₂ – 2 √I₁I₂
= 2 (I₁ + I₂)
Related Questions: - The coefficient of performance of a Carnot refrigerator working between 30⁰C and 0⁰C is
- The velocity of sound is V, in air. If the density of air is increased to four times
- When a metallic surface is illuminated with radiation of wavelength λ,
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Topics: Ray Optics
(94)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The coefficient of performance of a Carnot refrigerator working between 30⁰C and 0⁰C is
- The velocity of sound is V, in air. If the density of air is increased to four times
- When a metallic surface is illuminated with radiation of wavelength λ,
- In which of the follows decays, the element does not change?
- Two lenses of power 15 D and -3 D are placed in contact.
Topics: Ray Optics (94)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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