1
JEE Advanced 2024 Paper 1 Online
Numerical
+4
-0
Two large, identical water tanks, 1 and 2 , kept on the top of a building of height $H$, are filled with water up to height $h$ in each tank. Both the tanks contain an identical hole of small radius on their sides, close to their bottom. A pipe of the same internal radius as that of the hole is connected to tank 2 , and the pipe ends at the ground level. When the water flows from the tanks 1 and 2 through the holes, the times taken to empty the tanks are $t_1$ and $t_2$, respectively. If $H=\left(\frac{16}{9}\right) h$, then the ratio $t_1 / t_2$ is ___________.
Your input ____
2
JEE Advanced 2024 Paper 1 Online
Numerical
+4
-0
A thin uniform rod of length $L$ and certain mass is kept on a frictionless horizontal table with a massless string of length $L$ fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point $\mathrm{O}$. If a horizontal impulse $P$ is imparted to the rod at a distance $x={L \over n}$ from the mid-point of the rod (see figure), then the rod and string revolve together around the point $\mathrm{O}$, with the rod remaining aligned with the string. In such a case, the value of $n$ is ___________.
![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)
![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)
Your input ____
3
JEE Advanced 2024 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
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) $-3RT_0 \ln 2$ |
4
JEE Advanced 2024 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
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) $2C_0$ |
Paper analysis
Total Questions
Chemistry
17
Mathematics
17
Physics
17
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