the separation between a point source of light and a screen is increased by 1.5 %. the percentage change in the intensity is. 1. increases by 3%. 2. decreases by 3% 3. increases by 0.75%. 4. increases by 7.5 %
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The the percentage change in the intensity is option 2. decreases by 3%
Explanation :
We know that the intensity of light is inversely proportional to the square of distance.
I ∝ 1/d²
=> I₂/I₁ = (d₁/d₂)²
let d₁ = 100
=> d₂ = 101.5
=> I₂/I₁ = (100/101.5)² = 0.97
=> I₂ = 0.97 I₁
hence the percentage change can be given as
=> (I₂ - I₁)/I₁ = -0.03 = -3%
Hence the the percentage change in the intensity is option 2. decreases by 3%
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