CUET · PHYSICS · PYQ PAPER 2023

The angle of minimum deviation of an equilateral prism is equal to its refracting angle. The refractive index of the material of the prism is :

A 1.54
B 1.33
C 1.414
D 1.732

Verified Solution

Answer & Solution

Correct Answer

(D) 1.732

Step-by-step Solution

Detailed explanation

\(A = 60^\circ\), \(\delta_m = A = 60^\circ\) \(\mu = \frac{\sin\left(\frac{A + \delta_m}{2}\right)}{\sin\left(\frac{A}{2}\right)}\) \(\mu = \frac{\sin\left(\frac{60^\circ + 60^\circ}{2}\right)}{\sin\left(\frac{60^\circ}{2}\right)}\)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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List-I	List-II
(A) AC generator	(I) Michael Faraday
(B) Polarity of induced emf	(II) Foucault
(C) Electromagnetic Induction	(III) Nicola Tesla
(D) Eddy Current	(IV) Heinrich Friedrich Lenz

List-I	List-II
A. Reactance	(I) LCR Circuit
B. Inductance	(II) \(\frac{\rho l}{\pi r^2}\)
C. Capacitance	(III) \(\frac{\varepsilon_0 A}{d}\)
D. Impedance	(IV) \(\frac{\mu_0 N^2 A}{L}\)

List - I	List - II
(A) Interference experiment	(I) Maxwell
(B) Electromagnetic theory of light	(II) Christian Huygens
(C) Wave theory of light	(III) Isaac Newton
(D) Particle theory of light	(IV) Thomas Young