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New answer posted
7 months agoContributor-Level 10
The refractive index is an optical property of the material that describes how much does the light bend or refract while passing from one medium to another. It is the ratio of spee of light in vacuum (c) to speed of light in a material (v) Refractive index is the reason which causes refraction. When light travels from a rarer medium (low refractive index) to denser medium (higher refractive index), it will slow down and bend toward the normal. Refractive index also changes according to the wavelength of light. Air has 1.003 refractive index, water has 1.33 refractive index and glass has a refractive index of 1.5 to 1.9.
New answer posted
7 months agoContributor-Level 10
We know I = 4I? cos² (φ/2) but φ = 2πx/λ
I = 4I? cos² (πx/λ)
(i) when x = λ, I = k
i.e. k = 4I? cos²π
k = 4I?
(ii) when x = λ/6
I' = kcos² (π (λ/6)/λ) = kcos² (π/6) = k (√3/2)²
I' = 3k/4
Correction from image: The provided image has an error in the calculation. I' = k ( (√3/2)² ) = 3k/4. The image shows 9k/12 which simplifies to 3k/4. I will use the value from the OCR which seems to be a typo.
I' = kcos² (π/6) = k (3/4)
I' = 9k/12
New answer posted
7 months agoContributor-Level 10
λ = 6 * 10? M
d = 6 x 10? M
I = I? [ (sin (β)²/β²] ; β = (πdsinθ)/λ
θ = π/2 ; β = πd/λ
= (π (6 * 10? )/ (6 x 10? ) = 100π
So at ∞ also minima will form total number of minima = 2 * 100 = 200
New answer posted
7 months agoContributor-Level 10
i? = 40/100 = 2/5
i? = 40/200 = 1/5
V? – V? = 40i? = 40 * 2/5
V? – V? = 16
V? – Vd = 90i? = 90/5 = 18
V? – Vd = 18 – 16 = 2 volt
New answer posted
7 months agoContributor-Level 10
T = constant
P = constant
PV = nRT
PdV = nRdT
PdV + VdP = 0
ΔV = nRΔT/P
dV = (-)VdP/P
|ΔV| = V (ΔP/P)
V/P ΔP = nRΔT/P
ΔT = V/nR ΔP
C = V/nR T/P = 300/2 = 150
New answer posted
7 months agoContributor-Level 10
P = 1/f = (N/100)D
2x + 40 = 100
x = 30 cm
100 – x = 70 cm
1/v - 1/u = 1/f
1/70 - 1/ (-30) = 1/f
1/f = 1/70 + 1/30 = (3+7)/210 = 1/21
f = 21 cm = 0.21M
Power = 1/f = 1/0.21; D = (100)/21
N/100 D = 100/21
N = 10000/21 = 476.19
N = 476
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