Question 12 (Case Study) - (d) - CBSE Class 12 Sample Paper for 2022 Boards [Term 2] - Physics - Solutions to CBSE Sample Paper - Physics Class 12

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(d) A diamond is immersed in such a liquid which has its refractive index with respect to air as greater than the refractive index of water with respect to air. Then the critical angle of diamond-liquid interface as compared to critical angle of diamond -water interface will 

(i) depend on the nature of the liquid only 

(ii) decrease 

(iii) remain the same 

(iv) increase.  

Answer

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Question 12 (Choice 2) (d) A diamond is immersed in such a liquid which has its refractive index with respect to air as greater than the refractive index of water with respect to air. Then the critical angle of diamond-liquid interface as compared to critical angle of diamond -water interface will (i) 𝑛_1<𝑛_2 (ii) 𝑛_1=𝑛_2 (iii) 𝑛_1β‰ͺ𝑛_2 (iv)𝑛_1>𝑛_2 Given, πœ‡_π‘™π‘–π‘žπ‘’π‘–π‘‘ = πœ‡_π‘€π‘Žπ‘‘π‘’π‘Ÿ Critical angle of diamond with liquid 𝐢′=sin^(βˆ’1)β‘γ€–πœ‡_π‘™π‘–π‘žπ‘’π‘–π‘‘/πœ‡_π‘‘π‘–π‘Žπ‘šπ‘œπ‘›π‘‘ γ€— Critical angle of diamond with water 𝐢′=sin^(βˆ’1)β‘γ€–πœ‡_π‘€π‘Žπ‘‘π‘’π‘Ÿ/πœ‡_π‘‘π‘–π‘Žπ‘šπ‘œπ‘›π‘‘ γ€— sin⁑𝐢>sin⁑𝐢′ 𝐢>𝐢′ So the correct answer is (iv)

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