Ray Optics · JEE Advanced previous year questions

2024 3 questions

1. Q242024 · 26 May 2024 · Paper 1· One or more correct
   
   1. A.For $n=1.42$, $h=50\text{ cm}$.
   2. B.For $n=1.35$, $h=36\text{ cm}$.
   3. C.For $n=1.45$, $h=65\text{ cm}$.
   4. D.For $n=1.48$, $h=85\text{ cm}$.
   Show answer

   Answer: A, B

2. Q332024 · 26 May 2024 · Paper 1

   A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence ${\theta }_0$. The ray partially refracts into the sphere with angle of refraction ${\varphi }_0$ and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial refraction. The total angle of deviation of the emergent ray with respect to the incident ray is $\alpha$. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. $$\begin{array}{ll}\text{List-I}& \text{List-II}\\ \text{(P) If }n=2\text{ and }\alpha =180^{\circ }\text{, then all the possible values of }{\theta }_0\text{ will be}& \text{(1) }30^{\circ }\text{ and }{0}^{\circ }\\ \text{(Q) If }n=\sqrt{3}\text{ and }\alpha =180^{\circ }\text{, then all the possible values of }{\theta }_0\text{ will be}& \text{(2) }60^{\circ }\text{ and }{0}^{\circ }\\ \text{(R) If }n=\sqrt{3}\text{ and }\alpha =180^{\circ }\text{, then all the possible values of }{\varphi }_0\text{ will be}& \text{(3) }45^{\circ }\text{ and }{0}^{\circ }\\ \text{(S) If }n=\sqrt{2}\text{ and }{\theta }_0=45^{\circ }\text{, then all the possible values of }\alpha \text{ will be}& \text{(4) }150^{\circ }\\ & \text{(5) }{0}^{\circ }\end{array}$$

   1. A.$\mathrm{P}\to 5;\mathrm{Q}\to 2;\mathrm{R}\to 1;\mathrm{S}\to 4$
   2. B.$\mathrm{P}\to 5;\mathrm{Q}\to 1;\mathrm{R}\to 2;\mathrm{S}\to 4$
   3. C.$\mathrm{P}\to 3;\mathrm{Q}\to 2;\mathrm{R}\to 1;\mathrm{S}\to 4$
   4. D.$\mathrm{P}\to 3;\mathrm{Q}\to 1;\mathrm{R}\to 2;\mathrm{S}\to 5$
   Show answer

   Answer: A

3. Q282024 · 26 May 2024 · Paper 2· Numerical answer
   
   Show answer

   Answer: 12