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← JEE Advanced 2024 · Paper 1
PhysicsInteger+4Question 27 of 51

JEE Advanced 2024 · Paper 1, Physics question 10

A point source S emits unpolarized light uniformly in all directions. At two points A and B, the ratio r=IA/IBr = I_A/I_B of the intensities of light is 2. If a set of two polaroids having 45∘45^{\circ} angle between their pass-axes is placed just before point B, then the new value of rr will be _____.

Answer and worked solution

Official answer: 8

Unpolarized light through the first polaroid keeps 12\frac12 of its intensity; the second, at 45∘45^\circ, keeps cos⁡245∘=12\cos^2 45^\circ = \frac12 of that. So IB′=IB4I_B' = \frac{I_B}{4}, and
r′=IAIB/4=4×2=8.r' = \frac{I_A}{I_B/4} = 4 \times 2 = 8.