Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern if the value of I_ max+I_ min I_…
JEE Main 2022 — Physics Optics
2022mcqeasy
Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern if the value of Imax−IminImax+Imin is equal to β+32α+1, then βα will be
Official previous-year question
Held on 27 Jul 2022 · Verified 6 Jul 2026.
Options
A
1.5
B
2
C
0.5
D
1
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Solution
Given here, I2I1=41 or I2=4I1
Maximum intensity is Imax=(I1+I2)2=I1+4I1+2I14I1=9I1
Minimum intensity is Imin=(I1−I2)2=I1+4I1−2I14I1=I1
The ratio of Imax−IminImax+Imin is
9I1−I19I1+I1=810=45=β+32α+1
α=2β=1
∴βα=12=2
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