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 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.

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 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?

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

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?

The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by \(\vec{E}\)=30(2𝑥̂ + 𝑦̂)sin [2𝜋 (5×10¹⁴𝑡 −\(\frac{10^7}{3}z\))] Vm⁻¹. Which of the following option(s) is(are) correct? [Given: The speed of light in vacuum, 𝑐 = 3 × 10⁸ ms⁻¹]

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.

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

In list - I some conversions are shown and in the list- II emitted particles are shown. Match the column

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

Taking the first reflection of M₁. If the final image coincides with s, then find n.

The degree of freedom of an ideal gas is n. The internal energy of 1 mole of the gas is U_n and the speed of sound n the gas is V_n. At a fixed temperature and pressure, which of the following is correct?

A ball is released on a smooth plane as shown. It strikes with the ground, the coefficient of restitution is \(\frac{1}{\sqrt{3}}\) Choose the correct options

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 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.

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 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

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 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.

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

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 _______.

\(S_1\) and \(S_2\) are two identical sound sources of frequency \(656\) \(Hz\). The source \(S_1\) is located at \(𝑂\) and \(𝑆_2\) moves anti-clockwise with a uniform speed \(4\sqrt2\) \(m s ^{−1}\) on a circular path around \(𝑂\), as shown in the figure. There are three points \(𝑃\), \(𝑄\) and \(𝑅\) on this path such that \(𝑃\) and \(𝑅\) are diametrically opposite while \(𝑄\) is equidistant from them. A sound detector is placed at point \(𝑃\). The source \(𝑆_1\) can move along direction \(𝑂𝑃\). [Given: The speed of sound in air is \(324\) \(m s ^{−1}\) ]

𝑆1 and 𝑆2 are two identical sound sources of frequency 656 Hz

When only \(𝑆_2\) is emitting sound and it is at \(𝑄\), the frequency of sound measured by the detector in Hz is _________.

The system's center of mass is suspended by a steel wire of torsional spring

Two small particles of mass 20 gm and 30 gm are connected with a rigid massless rod of length of 10 cm. The system's center of mass is suspended by a steel wire of torsional spring constant \(c=1.2\times 10^{-8}\) N.m/rad. If the system is slightly rotated in its plane and the angular frequency of its oscillations in rad/sec is \(n\times 10^{-3}\), then write the value of n.

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.