1
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Two identical boxes contain the same ideal gas. Let $\left(n_1, \lambda_1, T_1\right)$ and $\left(n_2, \lambda_2, T_2\right)$ be the number density, mean free path and temperature of the gas in the first and the second box, respectively. One of the boxes is empty into the other one. What will be the mean free path? $\lambda$ and temperature $T$ of the gas now?
A
$\lambda=\frac{\lambda_1 \lambda_2}{\lambda_1+\lambda_2}, T=\frac{n_1 T_1+n_2 T_2}{n_1+n_2}$
B
$\lambda=\frac{n_1 \lambda_1+n_2 \lambda_2}{n_1+n_2}, T=\frac{n_1 T_1+n_2 T_2}{n_1+n_2}$
C
$\lambda=\frac{n_1 \lambda_1+n_2 \lambda_2}{n_1+n_2}, T=\sqrt{T_1 T_2}$
D
$\lambda=\frac{\lambda_1 \lambda_2}{\lambda_1+\lambda_2}, T=\sqrt{T_1 T_2}$
2
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1

Consider two point charges $+q$ and $+2 q$ fixed on the $x-y$ plane at $(-\ell / 2,0)$ and $(+\ell / 2,0)$ respectively. Another point charge $-q$ having mass $m$ is released from rest at $(0,(\sqrt{3} / 2) \ell)$ on the $x y$ plane, as shown in the figure The permittivity of free space is $\epsilon_0$. What is the acceleration of the charge $-q$ at the time of release?

IAT (IISER) 2024 Physics - Electrostatics Question 1 English
A
$\frac{q^2}{8 \pi \epsilon_0 m l^2}(3 \hat{\imath}-\sqrt{3} \hat{\jmath})$
B
$\frac{q^2}{8 \pi \epsilon_0 m l^2}(\hat{\imath}-\sqrt{3} \hat{\jmath})$
C
$\frac{q^2}{8 \pi \epsilon_0 m l^2}(\hat{\imath}-3 \sqrt{3} \hat{\jmath})$
D
$\frac{q^2}{8 \pi \epsilon_0 m l^2}(3 \sqrt{3} \hat{\imath}-\hat{\jmath})$
3
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1

Consider the circuit diagram as shown in the figure. The source has a voltage $V=V_0 \sin \omega t$. Both the resistors $A$ and $B$ have the same resistance. The capacitor and the inductor have capacitance $C$ and inductance $L$, respectively. For some frequency $\omega$, and certain initial charge in the capacitor, the current through the resistor $A$ is in phase with the source. What is the value of $\omega$ ?

IAT (IISER) 2024 Physics - Alternating Current Question 1 English

A
$\frac{1}{\sqrt{L C}}$
B
$\frac{1}{\sqrt{2 L C}}$
C
$\frac{1}{2 \sqrt{L C}}$
D
$\frac{1}{\sqrt{3 L C}}$
4
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
A conducting wire carrying a steady current $I$ is shaped as shown in the figure below. All connected graight segments meet at right angles. What is the magnetic moment of the current loop? IAT (IISER) 2024 Physics - Moving Charges and Magnetism Question 1 English
A
$\operatorname{Iab}(\hat{\jmath}-\hat{k})$
B
$\operatorname{Iab}(\hat{\jmath}+\hat{k})$
C
$\sqrt{2} \operatorname{I} a b(\hat{\jmath}+\hat{k})$
D
$\operatorname{Iab}(\hat{\mathrm{k}}-\hat{\jmath})$
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