A transport cube of side d, made of a material of refractive index \mu_2 , is immersed in a liquid of refractive index \\mu_{1} (\\mu_{1}<\\mu_{2} ). A ray is incident on the face AB at an angle θ (shown in the figure). Total internal reflection takes place at point E on the face BC. Then θ must satisfy: [12 Apr 2019 Shift 2]

Correct Answer is : θ<sin−1√ µ22µ12−1

\\theta>\sin ^{-1} \\sqrt{ {\\mu_{2}^{2}}/{\\mu_{1}^{2}}-1}

\\theta<\sin ^{-1} \\sqrt{ {\\mu_{2}^{2}}/{\\mu_{1}^{2}}-1}

\\theta<\sin ^{-1} {\\mu_{1}}/{\\mu_{2}}

\\theta>\sin ^{-1} {\\mu_{1}}/{\\mu_{2}}

Ray Optics and Optical Instruments Part 1

Section: Physics

Question : 40 of 100

Marks: +1, -0

A transport cube of side d, made of a material of refractive index µ2 , is immersed in a liquid of refractive index µ1 (µ1<µ2 ). A ray is incident on the face AB at an angle θ (shown in the figure). Total internal reflection takes place at point E on the face BC.

Then θ must satisfy:

[12 Apr 2019 Shift 2]

θ>sin−1√
µ22
µ12
−1
θ<sin−1√
µ22
µ12
−1
θ<sin−1
µ1
µ2
θ>sin−1
µ1
µ2

Validate

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