1
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

Consider a mass-pulley system as shown in the figure. There is a wedge of mass $M$ and equal wedge angles $\theta$ lying on a rigid horizontal table. The coefficient of friction between the wedge and the table is $\mu$. There are two blocks of mass $m_1$ and $m_2$ lying on the incline of the wedge. The coefficients of friction between the blocks and wedge are $\mu_1$ and $\mu_2$ as shown in the figure. Consider $m_1>m_2$ and the coefficients of friction ( $\mu, \mu_1$ and $\mu_2$ ) to be less than $\tan \theta$. Gravity is acting downwards with acceleration due to gravity $g$. What should be the value of $\frac{m_1}{m_2}$ so that the system is in equilibrium?

IAT (IISER) 2020 Physics - Laws of Motion Question 1 English
A
$\frac{\mu_1 \mu_2 \cos \theta+\sin \theta}{\sin \theta-\mu \cos \theta}$
B
$\frac{\mu_1 \cos \theta+\sin \theta}{\sin \theta-\mu_2 \cos \theta}$
C
$\frac{\mu_2 \cos \theta+\sin \theta}{\sin \theta-\mu_1 \cos \theta}$
D
$\frac{\mu \cos \theta+\sin \theta}{\sin \theta-\mu_1 \cos \theta}$
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

What is the maximum angle of incidence $\theta_i$ in the figure for which the ray would satisfy the condition for total internal reflection at the boundary of media of refractive indices $n_1$ and $n_2$, where $n_1>n_2$ ?

+ IAT (IISER) 2020 Physics - Ray Optics Question 3 English
A
$\theta_i=\sin ^{-1}\left(n_1^2-n_2^2\right)$
B
$\theta_i=\sin ^{-1}\left(n_1-n_2\right)^2$
C
$\theta_i=\sin ^{-1}\left(\sqrt{\frac{n_2}{n_1}}\right)$
D
$\theta_i=\sin ^{-1}\left(\sqrt{n_1^2-n_2^2}\right)$
3
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

$$ \text { What is the equivalent resistance between the points } A \text { and } B \text { in the figure? } $$

IAT (IISER) 2020 Physics - Current Electricity Question 3 English
A
$39 R / 10$
B
$39 R / 29$
C
$68 R / 87$
D
$87 R / 68$
4
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
Consider a solid rod of mass $m$ and uniform density resting against a vertical wall and horizontal floor as shown in the figure. The coefficients of friction of the rod with the wall and with the floor are given to be $\mu_1$ and $\mu_2$ respectively. Gravity is acting downwards with acceleration due to gravity $g$. What should be the value of the inclination angle $\alpha$ so that the rod stays in equilibrium? IAT (IISER) 2020 Physics - Rotational Motion Question 2 English
A
$\tan ^{-1}\left(\frac{\mu_1}{\mu_2}\right)$
B
$\tan ^{-1}\left(\frac{1-\mu_2}{2 \mu_1 \mu_2}\right)$
C
$\tan ^{-1}\left(\frac{1-\mu_1 \mu_2}{2 \mu_2}\right)$
D
$\tan ^{-1}\left(\frac{\mu_2}{\mu_1}\right)$ $$ N_1=f_2=\mu_2 N_2 $$
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