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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Transcript

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_1≪𝑛_2 (iv)𝑛_1>𝑛_2 Given, 𝜇_𝑙𝑖𝑞𝑢𝑖𝑑 = 𝜇_𝑤𝑎𝑡𝑒𝑟 Critical angle of diamond with liquid 𝐶′=sin^(−1)⁡〖𝜇_𝑙𝑖𝑞𝑢𝑖𝑑/𝜇_𝑑𝑖𝑎𝑚𝑜𝑛𝑑 〗 Critical angle of diamond with water 𝐶′=sin^(−1)⁡〖𝜇_𝑤𝑎𝑡𝑒𝑟/𝜇_𝑑𝑖𝑎𝑚𝑜𝑛𝑑 〗 sin⁡𝐶>sin⁡𝐶′ 𝐶>𝐶′ So the correct answer is (iv)

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