List of top Physics Questions asked in JEE Advanced

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 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

PARAGRAPH "II" A cylindrical furnace has height (𝐻) and diameter (𝐷) both 1 m. It is maintained at temperature 360 K. The air gets heated inside the furnace at constant pressure 𝑃𝑎 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 𝜌𝑎 = 1.2 kg m−3, pressure 𝑃𝑎 and temperature 𝑇𝑎 = 300 K enters the furnace. Assume air as an ideal gas, neglect 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 air flow to be streamline, the steady mass flow rate of air exiting the chimney is _______ gm s−1.

An annular disk of mass 𝑀, inner radius 𝑎 and outer radius 𝑏 is placed on a horizontal surface with coefficient of friction 𝜇, as shown in the figure. At some time, an impulse ℐ₀𝑥̂ is applied at a height ℎ above the center of the disk. If ℎ = ℎ𝑚 then the disk rolls without slipping along the 𝑥-axis.Which of the following statement(s) is(are) correct?

A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3ℎ from the ground, as shown in the figure. A spherical ball of mass 𝑚 is released on the slide from rest at a height ℎ from the top of the terrace. The ball leaves the slide with a velocity $\hat{u}_0=u_0\hat{x}$ and falls on the ground at a distance 𝑑 from the building making an angle θ with the horizontal. It bounces off with a velocity of v and reaches a maximum height of ℎ₁. The acceleration due to gravity is 𝑔 and the coefficient of restitution of the ground is $\frac{1}{\sqrt3}$. Which of the following statement(s) is(are) correct?

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 _____.

An electric dipole is formed by two charges +q and -q located in the x-y plane at (0,2) mm and (0,-2) mm as shown in the figure. The electric potential at point P(100, 100) mm due to dipole is V₀. Now the charges +q and -q are moved to (-1,2)mm and (1,-2)mm respectively. What is the value of the electric potential at point P due to this new dipole?

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 ____ .

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 particle of mass m is moving such that its velocity at a point (x,y) is given by v = α (y$\hat{i}$ + 2x$\hat{j}$), where α is a non-zero constant. What is the resultant force acting on the particle?

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.

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 bar of m = 1.00 kg and length l = 0.20 m is lying on a horizontal frictionless surface. One end of the bar is pivoted so that the bar is free to rotate in the vertical plane. a small m = 0.10 kg is moving on the same horizontal surface with 5.00 ms^-1 speed on its path which is perpendicular to the bar. Its hits the bar at a distance $\frac{L}{2}$ from the pivoted end and return back on the same path with speed v. After this elastic collision, the bar rotates with an angular velocity ω. Which of the following statement is correct?

A person of height 1.6 m is walking away from a lamp post of height 4 m along a straight path on the flat ground. The lamp post and the person are always perpendicular to the ground. If the speed of the person is 60 cm s^−1, the speed of the tip of the person’s shadow on the ground with respect to the person is _______ cm s^−1.

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.

In a radioactive decay process, the activity is defined as A = - $\frac {dN}{dt}$, where 𝑁(𝑡) is the number of radioactive nuclei at time 𝑡. Two radioactive sources, 𝑆₁ and 𝑆₂ have same activity at time 𝑡 = 0. At a later time, the activities of 𝑆₁ and 𝑆₂ are 𝐴₁ and 𝐴₂, respectively. When 𝑆₁ and 𝑆₂ have just completed their 3^rd and 7^th half-lives, respectively, the ratio $\frac{A_1}{A_2}$ is _________.

Find the α, β, γ in the Y = $C^\alpha h^\beta G^\gamma,\,\,$
$\gamma$ = Young's Modulus
$c$ = speed of Light
$h$ = Plank's Constant
$G$ = gravitational Constant

A series LCR circuit is connected to a 45 sin (ωt) volt source. The resonant angular frequency of the circuit is 10⁵ rad/sec and the current amplitude at resonance is I₀. When the angular frequency of the source is ω = 8 x 10⁴ rad/sec, the current amplitude in the circuit is 0.05 I₀. If m = 50 mH, match each entry in the list - I with an approximate value from list - II and choose the 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/sec	(3)	400
(S)	The peak power dissipated at resonance in watt	(4)	2250
		(5)	500

A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$ When the acceleration due to gravity is $g$, the range of the projectile is $d$ If at the highest point in its trajectory, the projectile enters a different region where the effective acceleration due to gravity is $g^{\prime}=\frac{g}{081}$, then the new range is $d^{\prime}=n d$ The value of $n$ is ___

A particle of mass 𝑚 is moving in the xy-plane such that its velocity at a point (x, y) is given as $\overrightarrow{v}=a(y\^{x}+2x\^{y})$ where 𝛼 is a non-zero constant. What is the force F acting on the particle?

Two satellites P and Q are moving in different circular orbits around the Earth (radius 𝑅). The heights of P and Q from the Earth surface are $ℎ_P$ and $ℎ_Q$, respectively, where $ℎ_P = \frac{𝑅}{3}$. The accelerations of P and Q due to Earth’s gravity are $𝑔_P$ and $𝑔_Q$, respectively. If $\frac{𝑔_P}{𝑔_Q} = \frac{36}{25}$, what is the value of $ℎ_Q?$

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.

A plane-polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is 𝛿 = 60° (see Figure-1). The angle of minimum deviation for red light from the same prism is 𝛿_min = 30° (see Figure-2). The refractive index of the prism material for blue light is √3. Which of the following statement(s) is(are) correct?

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]

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?