List of top Physics Questions asked in JEE Advanced

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 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.

$S_1$ 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 _________.

An annular disc of mass M, inner radius a and outer radius b is placed on a horizontal surface with a coefficient of friction μ, as shown in the figure. At some time, an impulse J₀ $\hat{x}$ is applied at a height of h at the center of the disc. If h=h_m, then the disc rolls without slipping along the x-axis, which of the following statement is/are correct?

𝑆₁ and 𝑆₂ are two identical sound sources of frequency 656 Hz. The source 𝑆₁ is located at 𝑂 and 𝑆₂ moves anti-clockwise with a uniform speed of 4$\sqrt{2}$ ms^-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 𝑆₁ can move along the direction 𝑂𝑃. [Given: The speed of sound in air is 324 ms^-1].

Consider both sources emitting sound. When 𝑆₂ is at 𝑅 and 𝑆₁ approaches the detector with a speed 4 m s⁻¹ , the beat frequency measured by the detector is _______Hz

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 _____.

$S_1$ 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 $324$ $m s ^{−1}$ ]

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 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 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 ms⁻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.

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.

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.

An incompressible liquid is filled in a container. There is air above the liquid and a massless movable piston with a hole is also placed on the air. A thin capillary tube of inner radius 0.1 mm is dipped vertically into the liquid through the hole on the piston as shown in the figure. The air in the container is isothermally compressed from the original volume V₀ to $\frac{100}{101}$V₀ with the movable piston. Considering air as an ideal gas, the height (h) of the liquid column in the capillary above the liquid level in cm is:

(given T_water=0.075N/m, P₀=10⁵N/m², g=10m/sec², $\rho l$=10³kg/m³, $\theta=0$)

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 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

A pendulum consists of a bob of mass $m =01\, kg$ and a massless inextensible string of length $L =10 \,m $ It is suspended from a fixed point at height $H =09 \,m$ above a frictionless horizontal floor Initially, the bob of the pendulum is lying on the floor at rest vertically below the point of suspension A horizontal impulse $P =02\, kg - m / s$ is imparted to the bob at some instant After the bob slides for some distance, the string becomes taut and the bob lifts off the floor The magnitude of the angular momentum of the pendulum about the point of suspension just before the bob lifts off is $J \,kg - m ^{2} / s$ The kinetic energy of the pendulum just after the lift-off is $K$ Joules The value of $K$ 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 pendulum consists of a bob of mass $m =01\, kg$ and a massless inextensible string of length $L =10 \,m $ It is suspended from a fixed point at height $H =09 \,m$ above a frictionless horizontal floor Initially, the bob of the pendulum is lying on the floor at rest vertically below the point of suspension A horizontal impulse $P =02\, kg - m / s$ is imparted to the bob at some instant After the bob slides for some distance, the string becomes taut and the bob lifts off the floor The magnitude of the angular momentum of the pendulum about the point of suspension just before the bob lifts off is $J \,kg - m ^{2} / s$ The kinetic energy of the pendulum just after the lift-off is $K$ Joules The value of $J$ is ______

A plain 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 $\delta$ = 60$^{\circ}$ (figure 1). The angle of min. deviation for red light from the same prism is min $\delta_{min}$ = 30$^{\circ}$ (figure 2). If the refractive index of prism material for blue light is √3, then which of the following options is correct?

PPBL = Plane Polarized Blue Light PPRL = Plane Polarized Red Light

S₁ & S₂ are sources of the sound of frequency 656 Hz. S₁ is moving along OP and S₂ is moving on the circle in an anticlockwise direction with a constant speed of 4√2 m\s. P is a detector that is fixed. Select the correct options (V_sound=300m\s)

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

A thin conducting rod MN of mass 20 gm, length 25 cm, and resistance 10Ω is held on frictionless long perfectly conducting vertical rails as in the figure. There is the uniform magnetic field B₀=4T 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 assuming air drag is negligible. Match each quantity in L-I with an appropriate value from L-II and choose the correct options(g=10ms$^{-2}$ and e$^{-1}$=0.4)

	List-I		List-II
(P)	At t=0.2s, the magnitude of induced emf in volt	(1)	0.08
(Q)	At t=0.2s, the magnitude of magnetic force in N	(2)	0.14
(R)	At t=0.2s, the power dissipated at heat in watt	(3)	1.20
(S)	The magnitude terminal velocity of the rod in ms$^{-1}$	(4)	0.12
		(5)	2.00

The liquid is raising at a rate of 250$cm^3s^{-1}$ in the container. Value of the capacitance of the container after 10 sec.? ($\varepsilon_0=9 \times10^{12}C^2N^{-1}m^{-2}$)

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.

The Ratio of gravity field due to the earth at high h_P and h_Q from the earth's surface is $\frac{g_{P}}{g_{Q}}=\frac{36}{25}.$ If $h_P=\frac{R}{2}$, then the value of h_Q will be

	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