List of top Physics Questions asked in JEE Advanced

The figure shows a circuit having eight resistances of $1 \,\Omega$ each, labelled $R_1$ to $R_8$, and two ideal batteries with voltages $\varepsilon_1=12\, V$ and $\varepsilon_2=6\, V$ Which of the following statement(s) is(are) correct?

The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion .Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be $E_b^p$ and the binding energy of a neutron be $E_b^n$ in the nucleus
Which of the following statement(s) is(are) correct?

Consider an LC circuit, with inductance $L =01 H$ and capacitance $C=10^{-3} F$, kept on a plane The area of the circuit is $1 \,m ^2$ It is placed in a constant magnetic field of strength $B_0$ which is perpendicular to the plane of the circuit At time $t=0$, the magnetic field strength starts increasing linearly as $B=B_0+\beta t$ with $\beta=004\, Ts ^{-1}$ The maximum magnitude of the current in the circuit is ___$ m A$

In Circuit-1 and Circuit-2 shown in the figures, $R_1=1 \,\Omega, R_2=2 \,\Omega$ and $R_3=3\, \Omega P_1$ and $P_2$ are the power dissipations in Circuit-1 and Circuit-2 when the switches $S_1$ and $S_2$ are in open conditions, respectively $Q_1$ and $Q_2$ are the power dissipations in Circuit-1 and Circuit-2 when the switches $S_1$ and $S_2$ are in closed conditions, respectively. Which of the following statement(s) is(are) correct?|

An object and a concave mirror of focal length $f=10 \,cm$ both move along the principal axis of the mirror with constant speeds. The object moves with speed $V_0=15\, cm s ^{-1}$ towards the mirror with respect to a laboratory frame. The distance between the object and the mirror at a given moment is denoted by $u$ When $u=30\, cm$, the speed of the mirror $V_m$ is such that the image is instantaneously at rest with respect to the laboratory frame, and the object forms a real image. The magnitude of $V_m$ is _______ $cm\, s ^{-1}$

Three plane mirrors form an equilateral triangle with each side of length $L$ There is a small hole at a distance $l>0$ from one of the corners as shown in the figure A ray of light is passed through the hole at an angle $\theta$ and can only come out through the same hole The cross section of the mirror configuration and the ray of light lie on the same plane Which of the following statement(s) is(are) correct?

On a frictionless horizontal plane, a bob of mass $m=01\, kg$ is attached to a spring with natural length $l_0=01 \,m$. The spring constant is $k_1=0009 \,Nm ^{-1}$ when the length of the spring $l>l_0$ and is $k_2=0016\, Nm ^{-1}$ when $l < l_0$. Initially the bob is released from $l=015 \,m$. Assume that Hooke's law remains valid throughout the motion. If the time period of the full oscillation is $T =(n \pi) s$, then the integer closest to $n$ is ______

At time $t=0$, a disk of radius $1 \,m$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha=\frac{2}{3}\, rad\, s ^{-2}$ A small stone is stuck to the disk At $t=0$, it is at the contact point of the disk and the plane Later, at time $t=\sqrt{\pi} s$, the stone detaches itself and flies off tangentially from the disk The maximum height (in $m$ ) reached by the stone measured from the plane is $\frac{1}{2}+\frac{x}{10}$ The value of $x$ is ___[ [Take $g=10 \,m s ^{-2}$]

A disk of radius $R$ with uniform positive charge density $\sigma$ is placed on the $x y$ plane with its center at the origin. The Coulomb potential along the $z$-axis is $V(z)=\frac{\sigma}{2 \epsilon_0}\left(\sqrt{R^2+z^2}-z\right)$.
A particle of positive charge $q$ is placed initially at rest at a point on the $z$ axis with $z=z_0$ and $z_0>0$. In addition to the Coulomb force, the particle experiences a vertical force $\vec{F}=-c \hat{k}$ with $c>0$ Let $\beta=\frac{2 c \in_0}{q \sigma}$. Which of the following statement(s) is(are) correct?

Six charges are placed around a regular hexagon of side length a as shown in the figure Five of them have charge $q$, and the remaining one has charge $x$ The perpendicular from each charge to the nearest hexagon side passes through the center $O$ of the hexagon and is bisected by the side Which of the following statement(s) is(are) correct in SI units?

In the following circuit $C_1=12 \mu F, C_2=C_3=4 \mu F$ and $C_4=C_5=2 \mu F$.The Charge stored in $C_3$ is ___$\mu C$

Two resistances R₁ = X Ω and R₂ = 1 Ω are connected to a wire AB of uniform resistivity, as shown in the figure. The radius of the wire varies linearly along its axis from 0.2 mm at A to 1 mm at B. A galvanometer (G) connected to the center of the wire, 50 cm from each end along its axis, shows zero deflection when A and B are connected to a battery. The value of X is _______.

A particle of mass $1\, kg$ is subjected to a force which depends on the position as $\vec{F}=-k(x \hat{i}+y \hat{j}) kg\, ms ^{-2}$ with $k=1 \, kgs ^{-2}$ . At time $t=0$, the particle's position $\vec{r}=\left(\frac{1}{\sqrt{2}} \hat{i}+\sqrt{2} \hat{j}\right) m$ and its velocity $\vec{v}=\left(-\sqrt{2} \hat{i}+\sqrt{2} \hat{j}+\frac{2}{\pi} \hat{k}\right) m s^{-1}$ . Let $v_x$ and $v_y$ denote the $x$ and the $y$ components of the particle's velocity, respectively. Ignore gravity. When $z=05\, m$, the value of (xv_y – yv_x) is _______ m²s^–1.

Consider a configuration of $n$ identical units, each consisting of three layers The first layer is a column of air of height $h=\frac{1}{3} cm$, and the second and third layers are of equal thickness $d=\frac{\sqrt{3}-1}{2} cm$, and refractive indices $\mu_1=\sqrt{\frac{3}{2}}$ and $\mu_2=\sqrt{3}$, respectively. A light source $O$ is placed on the top of the first unit, as shown in the figure. A ray of light from $O$ is incident on the second layer of the first unit at an angle of $\theta=60^{\circ}$ to the normal. For a specific value of $n$, the ray of light emerges from the bottom of the configuration at a distance $l=\frac{8}{\sqrt{3}} cm$, as shown in the figure The value of $n$ is ______

In a radioactive decay chain reaction, ${ }_{90}^{230} Th$ nucleus decays into ${ }_{84}^{214} Po$ nucleus. The ratio of the number of $\alpha$ to number of $\beta^{-}$particles emitted in this process is _____

A bubble has surface tension $S$. The ideal gas inside the bubble has ratio of specific heats $\gamma=\frac{5}{3}$. The bubble is exposed to the atmosphere and it always retains its spherical shape. When the atmospheric pressure is $P_{a 1}$, the radius of the bubble is found to be $r_1$ and the temperature of the enclosed gas is $T_1$. When the atmospheric pressure is $P_{a 2}$, the radius of the bubble and the temperature of the enclosed gas are $r_2$ and $T_2$, respectively.Which of the following statement(s) is(are) correct?

In the given $P-V$ diagram, a monoatomic gas $\left(\gamma=\frac{5}{3}\right)$ is first compressed adiabatically from state $A$ to state $B$. Then it expands isothermally from state $B$ to state $C$ [Given: $(\frac{1}{3})^{0.6}=05, \ln 2 \simeq 07$].

Which of the following statement(s) is(are) correct?

Two spherical stars $A$ and $B$ have densities $\rho_A$ and $\rho_B$, respectively $A$ and $B$ have the same radius, and their masses $M_A$ and $M_B$ are related by $M_B=2 M_A$ Due to an interaction process, star $A$ loses some of its mass, so that its radius is halved, while its spherical shape is retained, and its density remains $\rho_A$ The entire mass lost by $A$ is deposited as a thick spherical shell on $B$ with the density of the shell being $\rho_A$ If $v_A$ and $v_B$ are the escape velocities from $A$ and $B$ after the interaction process, the ratio $\frac{v_B}{v_A}=\sqrt{\frac{10 n}{15^{1 / 3}}}$ The value of $n$ is ___

A rod of length $2 \,cm$ makes an angle $\frac{2 \pi}{3}$ rad with the principal axis of a thin convex lens The lens has a focal length of $10\, cm$ and is placed at a distance of $\frac{40}{3} cm$ from the object as shown in the figure The height of the image is $\frac{30 \sqrt{3}}{13} cm$ and the angle made by it with respect to the principal axis is $\alpha rad$ The value of $\alpha$ is $\frac{\pi}{n} rad$, where $n$ is ___

At time $t=0$, a disk of radius $1 \,m$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha=\frac{2}{3}\, rad\, s ^{-2}$ A small stone is stuck to the disk At $t=0$, it is at the contact point of the disk and the plane Later, at time $t=\sqrt{\pi} s$, the stone detaches itself and flies off tangentially from the disk The maximum height (in $m$ ) reached by the stone measured from the plane is $\frac{1}{2}+\frac{x}{10}$ The value of $x$ is ___[ [Take $g=10 \,m s ^{-2}$]

Consider an LC circuit, with inductance $L =01 H$ and capacitance $C=10^{-3} F$, kept on a plane The area of the circuit is $1 \,m ^2$ It is placed in a constant magnetic field of strength $B_0$ which is perpendicular to the plane of the circuit At time $t=0$, the magnetic field strength starts increasing linearly as $B=B_0+\beta t$ with $\beta=004\, Ts ^{-1}$ The maximum magnitude of the current in the circuit is ___$ m A$

Three plane mirrors form an equilateral triangle with each side of length $L$ There is a small hole at a distance $l>0$ from one of the corners as shown in the figure A ray of light is passed through the hole at an angle $\theta$ and can only come out through the same hole The cross section of the mirror configuration and the ray of light lie on the same plane Which of the following statement(s) is(are) correct?

For a prism of prism angle 𝜃 = 60°, the refractive indices of the left half and the right half are, respectively, 𝑛₁ and 𝑛₂ (𝑛₂ ≥ 𝑛₁) as shown in the figure. The angle of incidence 𝑖 is chosen such that the incident light rays will have minimum deviation if 𝑛₁ = 𝑛₂ = 𝑛 = 1.5. For the case of unequal refractive indices, 𝑛₁ = 𝑛 and 𝑛₂ = 𝑛 +∆𝑛 (where∆𝑛≪𝑛), the angle of emergence $𝑒 =𝑖+∆𝑒$. Which of the following statement(s) is (are) correct?

A wide slab consisting of two media of refractive indices $n_{1}$ and $n_{2}$ is placed in air as shown in the figure. A ray of light is incident from medium $n _{1}$ to $n _{2}$ at an angle $\theta$, where $\sin \theta$ is slightly larger than $\frac1 { n _{1}}$. Take refractive index of air as $1$.Which of the following statement(s) is(are) correct?
$A wide slab consisting of two media of refractive indices 𝑛1 and 𝑛2 is placed in air$