![JEE Advanced 2024 Paper 1 Online Physics - Rotational Motion Question 4 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lwpw4iwg/6ed26d3c-fc6f-4585-97c1-9d40785656ac/c449db00-1ca9-11ef-a7f1-8b6b33c30c4d/file-6y3zli1lwpw4iwh.png?format=png)
One mole of a monatomic ideal gas undergoes the cyclic process $\mathrm{J} \rightarrow \mathrm{K} \rightarrow \mathrm{L} \rightarrow \mathrm{M} \rightarrow \mathrm{J}$, as shown in the P-T diagram.
![JEE Advanced 2024 Paper 1 Online Physics - Heat and Thermodynamics Question 2 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lwpwe12y/ad330026-489f-4b5e-a478-1d85650a17a0/cc9d65a0-1caa-11ef-a7f1-8b6b33c30c4d/file-6y3zli1lwpwe12z.png?format=png)
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
[ $\mathcal{R}$ is the gas constant.]
List-I | List-II |
---|---|
(P) Work done in the complete cyclic process | (1) $RT_0 - 4RT_0 \ln 2$ |
(Q) Change in the internal energy of the gas in the process JK | (2) $0$ |
(R) Heat given to the gas in the process KL | (3) $3RT_0$ |
(S) Change in the internal energy of the gas in the process MJ | (4) $-2RT_0 \ln 2$ |
(5) $-3RT_0 \ln 2$ |
Four identical thin, square metal sheets, $S_1, S_2, S_3$ and $S_4$, each of side $a$ are kept parallel to each other with equal distance $d(\ll a)$ between them, as shown in the figure. Let $${C_0} = {{{\varepsilon _0}{a^2}} \over d}$$, where $\varepsilon_0$ is the permittivity of free space.
![JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lwpwv2ta/bea0af9c-661a-474b-ba44-3b31aa43153f/a6b531e0-1cac-11ef-a7f1-8b6b33c30c4d/file-6y3zli1lwpwv2tb.webp?format=webp)
Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
List-I | List-II |
---|---|
(P) The capacitance between $S_1$ and $S_4$, with $S_2$ and $S_3$ not connected, is | (1) $3C_0$ |
(Q) The capacitance between $S_1$ and $S_4$, with $S_2$ shorted to $S_3$, is | (2) $\frac{C_0}{2}$ |
(R) The capacitance between $S_1$ and $S_3$, with $S_2$ shorted to $S_4$, is | (3) $\frac{C_0}{3}$ |
(S) The capacitance between $S_1$ and $S_2$, with $S_3$ shorted to $S_1$, and $S_2$ shorted to $S_4$, is | (4) $\frac{2C_0}{3}$ |
(5) $2C_0$ |
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 $\phi_0$ 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.
List-I | List-II |
---|---|
(P) If $n = 2$ and $\alpha = 180^\circ$, then all the possible values of $\theta_0$ will be | (1) $30^\circ$ and $0^\circ$ |
(Q) If $n = \sqrt{3}$ and $\alpha = 180^\circ$, then all the possible values of $\theta_0$ will be | (2) $60^\circ$ and $0^\circ$ |
(R) If $n = \sqrt{3}$ and $\alpha = 180^\circ$, then all the possible values of $\phi_0$ will be | (3) $45^\circ$ and $0^\circ$ |
(S) If $n = \sqrt{2}$ and $\theta_0 = 45^\circ$, then all the possible values of $\alpha$ will be | (4) $150^\circ$ |
(5) $0^\circ$ |