The interference pattern is obtained with two coherent light sources of intensity ( I₁ and I₂) ratio ' β '. In the interference pattern, the ratio (Imax + IminImax - Imin) will be (β = (I₂)/(I₁)) (a) (√(β))/(β + 1) (b) (√(β))/((β + 1)²) (c) (β + 1)/(2√(β)) (d) ((β + 1)²)/(2(√(β)))

Answer: (c). Imax + Imin = 2(I₁ + I₂), Imax - Imin = 4√(I₁ I₂) Ratio = (I₁ + I₂)/(2√(I₁ I₂)); divide by I₁ with β = (I₂)/(I₁): = (1+β)/(2√(β)) So the answer is (c) (β + 1)/(2√(β)).

The interference pattern is obtained with two coherent light sources… | MHT CET 2026 (20 May, Shift 1)

Q6MHT CET 2026 · 20 MAY · SHIFT 1Medium

Superposition, Coherence & Intensity

The interference pattern is obtained with two coherent light sources of intensity ( $I_1$ and $I_2$ ) ratio ' $\beta$ '. In the interference pattern, the ratio $\left(\frac{I_{max} + I_{min}}{I_{max} - I_{min}}\right)$ will be $\left(\beta = \frac{I_2}{I_1}\right)$

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Answer: (c)

$I_{max} + I_{min} = 2(I_1 + I_2)$ , $I_{max} - I_{min} = 4\sqrt{I_1 I_2}$
Ratio $= \frac{I_1 + I_2}{2\sqrt{I_1 I_2}}$ ; divide by $I_1$ with $\beta = \frac{I_2}{I_1}$ :
$= \frac{1+\beta}{2\sqrt{\beta}}$
So the answer is (c) $\frac{\beta + 1}{2\sqrt{\beta}}$ .

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