1
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.

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) $-3RT_0 \ln 2$
A
$\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 4$
B
$\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 2$
C
$\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 2$
D
$\mathrm{P} \rightarrow 2 ; \mathrm{Q} \rightarrow 5 ; \mathrm{R} \rightarrow 3 ; \mathrm{S} \rightarrow 4$
2
JEE Advanced 2023 Paper 2 Online
MCQ (Single Correct Answer)
+3
-1
An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is $n$. The internal energy of one mole of the gas is $U_n$ and the speed of sound in the gas is $\mathrm{v}_n$. At a fixed temperature and pressure, which of the following is the correct option?
A
$v_3 < v_6$ and $U_3 > U_6$
B
$v_5 > v_3$ and $U_3 > U_5$
C
$v_5 > v_7$ and $U_5 < U_7$
D
$v_6 < v_7$ and $U_6 < U_7$
3
JEE Advanced 2023 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
One mole of an ideal gas expands adiabatically from an initial state $\left(T_{\mathrm{A}}, V_0\right)$ to final state $\left(T_{\mathrm{f}}, 5 V_0\right)$. Another mole of the same gas expands isothermally from a different initial state $\left(T_{\mathrm{B}}, V_0\right)$ to the same final state $\left(T_{\mathrm{f}}, 5 V_0\right)$. The ratio of the specific heats at constant pressure and constant volume of this ideal gas is $\gamma$. What is the ratio $T_{\mathrm{A}} / T_{\mathrm{B}}$ ?
A
$5^{\gamma-1}$
B
$5^{1-\gamma}$
C
$5^\gamma$
D
$5^{1+\gamma}$
4
JEE Advanced 2023 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Match the temperature of a black body given in List-I with an appropriate statement in List-II, and choose the correct option.

[Given: Wien's constant as $2.9 \times 10^{-3} \mathrm{~m}-\mathrm{K}$ and $\frac{h c}{e}=1.24 \times 10^{-6} \mathrm{~V}-\mathrm{m}$ ]

List - I List - II
(P) $2000 \mathrm{~K}$ (1) The radiation at peak wavelength can lead to emission of photoelectrons from a metal of work function $4 \mathrm{eV}$.
(Q) $3000 \mathrm{~K}$ (2) The radiation at peak wavelength is visible to human eye.
(R) $5000 \mathrm{~K}$ (3) The radiation at peak emission wavelength will result in the widest central maximum of a single slit diffraction.
(S) $10000 \mathrm{~K}$ (4) The power emitted per unit area is $1 / 16$ of that emitted by a blackbody at temperature $6000 \mathrm{~K}$.
(5) The radiation at peak emission wavelength can be used to image human bones.
A
$P \rightarrow 3, Q \rightarrow 5, R \rightarrow 2, S \rightarrow 3$
B
$P \rightarrow 3, Q \rightarrow 2, R \rightarrow 4, S \rightarrow 1$
C
$P \rightarrow 3, Q \rightarrow 4, R \rightarrow 2, S \rightarrow 1$
D
$P \rightarrow 1, Q \rightarrow 2, R \rightarrow 5, S \rightarrow 3$
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