List of top Physics Questions asked in JEE Advanced

A thin circular coin of mass 5 gm and radius $\frac{4}{3}$ is initially in a horizontal XY - plane. The coin is tossed vertically up (+Z direction) by applying an impulse of $\sqrt{\frac{\pi}{2}\times10^{-2}}$ N-s at a distance of $\frac{2}{3}$ cm from its center. The coin spins about its diameter and moves along the +𝑧 direction. By the time the coin reaches back to its initial position, it completes 𝑛 rotations. The value of 𝑛 is ____. [Given: The acceleration due to gravity 𝑔 = 10 ms⁻²]

A container has a base of 50 cm × 5 cm and height 50 cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm × 50 cm. The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant 3 at a uniform rate of 250 cm3s−1. What is the value of the capacitance of the container after 10 seconds? [Given: Permittivity of free space 𝜖0 = 9 × 10−12 C2N−1m−2, the effects of the non-conducting walls on the capacitance are negligible]

A cylindrical furnace has height (𝐻) and diameter (𝐷) both 1 m. It is maintained at a temperature of 360 K. The air gets heated inside the furnace at constant pressure 𝑃_𝑎 and its temperature becomes 𝑇 = 360 𝐾. The hot air with density 𝜌 rises up a vertical chimney of diameter 𝑑 = 0.1 m and height ℎ = 9 m above the furnace and exits the chimney (see the figure). As a result, atmospheric air of density 𝜌_𝑎 = 1.2 kg m⁻³, pressure 𝑃_𝑎 and temperature 𝑇_𝑎 = 300 K enter the furnace. Assume air as an ideal gas, neglecting the variations in 𝜌 and 𝑇 inside the chimney and the furnace. Also, ignore the viscous effects. [Given: The acceleration due to gravity 𝑔 = 10 m s⁻² and 𝜋 = 3.14] Considering the airflow to be streamlined, the steady mass flow rate of air exiting the chimney is _______ gm s⁻¹.

Young’s modulus of elasticity 𝑌 is expressed in terms of three derived quantities, namely, the gravitational constant 𝐺, Planck’s constant ℎ and the speed of light 𝑐, as 𝑌 = 𝑐 ^𝛼ℎ ^𝛽𝐺 ^𝛾 . Which of the following is the correct option?

A rectangular conducting loop of length 4 cm and width 2 cm is in the X-Y plane. It is being moved away from a thin and long conducting wire along the direction ($\frac{\sqrt3}{2}\hat{x}+\frac{1}{2}\hat{y}$) with constant speed v. The wire is carrying a steady current I = 10 A in the +ve X- direction. A current of 10 μA flows through the loop when it is at a distance d = 4 cm from the wire. If the resistance of the loop is 0.1 $\Omega$. Then the value of v is ........m/s

A medium having dielectric constant $K>1$ fills the space between the plates of a parallel plate capacitor The plates have large area, and the distance between them is $d$ The capacitor is connected to a battery of voltage $V$ as shown in Figure (a) Now, both the plates are moved by a distance of $\frac{d}{2}$ from their original positions, as shown in Figure (b)

In the process of going from the configuration depicted in Figure (a) to that in Figure (b), which of the following statement(s) is(are) correct?

A thin conducting rod MN of mass 20 gm, length 25 cm, and resistance 10 Ω are held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field 𝐵₀= 4 T directed perpendicular to the plane of the rod-rail arrangement. The rod is released from rest at time 𝑡 = 0 and it moves down along the rails. Assume air drag is negligible. Match each quantity in List-I with an appropriate value from List-II, and choose the correct option.
[Given: The acceleration due to gravity 𝑔 = 10 m s⁻² and 𝑒⁻¹ = 0.4]

List I		List II
(P)	At 𝑡 = 0.2 s, the magnitude of the induced emf in Volt	(1)	0.07
(Q)	At 𝑡 = 0.2 s, the magnitude of the magnetic force in Newton	(2)	0.14
(R)	At 𝑡 = 0.2 s, the power dissipated as heat in Watt	(3)	1.20
(S)	The magnitude of terminal velocity of the rod in m s⁻¹	(4)	0.12
		(5)	2.00

One mole of an ideal gas undergoes two different cyclic processes I and I, as shown in the P-V diagrams below. In cycle, I processes a, b, c and d are isobaric, isothermal, isobaric, and isochoric, respectively. In cycle II, processes a',b',c', and d' are isothermal, isochoric, isobaric, and isochoric, respectively. The total work done during cycle I is 𝑊_I and that during cycle II is 𝑊_II. The ratio W_I/W_II is

The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by $\vec{E}=30(2\hat{x}+\hat{y})sin[2\pi(5\times10^{14}-\frac{10^7}{3}z)]Vm^{-1}$.
which of the following is correct? [given: speed of light in vacuum $c=3\times10^8$ m/s]

A string of length 1m and mass 2 x 10^-5 kg is under tension T. When the string vibrates two successive harmonics are found to occur at frequencies 750 Hz and 1000 Hz. The value of tension is ___ Newton.

An optical arrangement consists of two concave mirrors M₁ and M₂, and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm. The radii of curvature of M₁ and M₂ are 20 cm and 24 cm, respectively. The distance between L and M₂ is 20 cm. A point object S is placed at the mid-point between L and M₂ on the axis. When the distance between L and M₁ is $\frac{n}{7}$ cm, one of the images coincides with S. The value of 𝑛 is _______.

A hydrogen-like atom of atomic number Z transits from n=4 to n=3. The photon emitted from this transition is incident on a metal surface of threshold wavelength λ_th = 310nm. If the maximum kinetic energy of the emitted electron is 1.95ev, find the value of Z.

List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate entry from List-II, and choose the correct option.

	List-I		List-II
(P)	$^{238}_{92}U → ^{234}_{91}Pa$	(1)	one 𝛼 particle and one 𝛽+ particle
(Q)	$^{214}_{82}Pb → ^{210}_{82}Pb$	(2)	three 𝛽− particles and one 𝛼 particle
(R)	$^{210}_{81}Tl → ^{206}_{82}Pb$	(3)	two 𝛽− particles and one 𝛼 particle
(S)	$^{228}_{91}Pa → ^{224}_{88}Ra$	(4)	one 𝛼 particle and one 𝛽− particle
		(5)	one 𝛼 particle and two 𝛽+ particles

In the circuit shown in the figure, the capacitor is initially uncharged and the key K is initially open in this condition, a current of 1 A flows through the 1 Ω resistor. The key is closed at a time t=t₀. Choose the correct options(given $e^{-1}=0.36$)

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 $2.9 \times 10^{−3} m^{-K}$ and $\frac{hc}{e} = 1.24 \times 10^{−6} V^{-m}$]

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

A person of height 1.6 m is walking away from a lamp post of height 4 m along a straight line on the horizontal ground. The lamp post and the person are always vertical. If the speed of the person is 60 cm/sec, then find the speed of tip point of its shadow with respect to the person in cm/sec.

In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is 10 ± 0.1 cm and the distance of its real image from the lens is 20 ± 0.2 cm. The error in the determination of focal length of the lens is 𝑛 %. The value of 𝑛 is ____ .

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 un and the speed of sound in the gas is vn. At a fixed temperature and pressure, which of the following is the correct option?

One mole of an ideal gas expands adiabatically from an initial state(T_A, V₀) to a final state (T_f,5V₀). Another mole of the same gas expands isothermally from a different initial state (T_B, V₀) to the same final state (T_f,5V₀). The ratio of the specific heat of constant pressure and constant volume of the ideal gas is λ. What is the ratio of $\frac{T_A}{T_B}$?

One mole of an ideal gas undergoes two different cyclic processes I and I, as shown in the P-V diagrams below. In cycle, I processes a, b, c and d are isobaric, isothermal, isobaric, and isochoric, respectively. In cycle II, processes a',b',c', and d' are isothermal, isochoric, isobaric, and isochoric, respectively. The total work done during cycle I is 𝑊_I and that during cycle II is 𝑊_II. The ratio W_I/W_II is

A series LCR circuit is connected to a 45 sin(𝜔𝑡) Volt source. The resonant angular frequency of the circuit is $10^5$ rad s⁻¹ and current amplitude at resonance is I₀.

When the angular frequency of the source is 𝜔 =$8 ×$ $10^4$ rad s⁻¹, the current amplitude in the circuit is 0.05 I₀. If L=50 mH, match each entry in List-I with an appropriate value from List-II and choose the correct option.

List-I	List-II
(P) I₀ in mA	(1) 44.4
(Q) The quality factor of the circuit	(2) 18
(R) The bandwidth of the circuit in rad s⁻¹	(3) 400
(S) The peak power dissipated at resonance in Watt	(4) 2250
	(4) 2250

A closed container constrains a homogeneous mixture made of, 2 moles of an ideal monatomic gas($\gamma=\frac{5}{3}$) and one mole of an ideal diatomic gas($\gamma=\frac{7}{5}$). Here, γ is the ratio of the specific heat at content pressure and constant volume of an ideal gas. The gas mixture does a work of 66 joules when heated at constant pressure. The change in its internal energy is ____Joule.

An optical arrangement consists of two concave mirrors M₁ and M₂, and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm. The radii of curvature of M₁ and M₂ are 20 cm and 24 cm, respectively. The distance between L and M₂ is 20 cm. A point object S is placed at the mid-point between L and M₂ on the axis. When the distance between L and M₁ is $\frac{n}{7}$ cm, one of the images coincides with S. The value of 𝑛 is _______.

Two point-like objects of masses 20 gm and 30 gm are fixed at the two ends of a rigid massless rod of length 10 cm. This system is suspended vertically from a rigid ceiling using a thin wire attached to its center of mass, as shown in the figure. The resulting torsional pendulum undergoes small oscillations. The torsional constant of the wire is 1.2 × 10⁻⁸N m rad^−1. The angular frequency of the oscillations in 𝑛 × 10⁻³ rad s⁻¹. The value of 𝑛 is _____.

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 $\frac{v_B}{v_A}=\sqrt{\frac{10 n}{15^{\frac 13}}}$. The value of $n$ is ___ .

	List-I		List-II
(P)	\(^{238}_{92}U → ^{234}_{91}Pa\)	(1)	one 𝛼 particle and one 𝛽+ particle
(Q)	\(^{214}_{82}Pb → ^{210}_{82}Pb\)	(2)	three 𝛽− particles and one 𝛼 particle
(R)	\(^{210}_{81}Tl → ^{206}_{82}Pb\)	(3)	two 𝛽− particles and one 𝛼 particle
(S)	\(^{228}_{91}Pa → ^{224}_{88}Ra\)	(4)	one 𝛼 particle and one 𝛽− particle
		(5)	one 𝛼 particle and two 𝛽+ particles

List of top Physics Questions asked in JEE Advanced

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