List of top Physics Questions asked in JEE Advanced

A metal target with atomic number 𝑍 = 46 is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio 𝑟 of the wavelengths of the 𝐾𝛼-line and the cut-off is found to be 𝑟 = 2. If the same electron beam bombards another metal target with 𝑍 = 41, the value of 𝑟 will be

A small electric dipole $\bar{P_0}$, having a moment of inertia I about its center, is kept at a distance r from the center of a spherical shell of radius R. The surface charge density $\sigma$is uniformly distributed on the spherical shell. The dipole is initially oriented at a small angle 𝜃 as shown in the figure. While staying at a distance r, the dipole is free to rotate about its center.If released from rest, then which of the following statement(s) is(are) correct?

If released from rest, then which of the following statement(s) is(are) correct?

The circuit shown in the figure contains an inductor L, a capacitor $C_0$, a resistor$ R_0$ and an ideal battery. The circuit also contains two keys $K_1$ and $K_2$. Initially, both the keys are open and there is no charge on the capacitor. At an instant, key $K_1$ is closed and immediately after this the current in $R_0$ is found to be $I_1$. After a long time, the current attains a steady state value $I_2$. Thereafter,$ K_2$ is closed and simultaneously $K_1$ is opened and the voltage across $C_0$ oscillates with amplitude $C_0$ and angular frequency $\omega_0$.

Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

List-I		List-II
P	The value of $I1$ in Ampere is	I	$0$
Q	The value of I2 in Ampere is	II	$2$
R	The value of $\omega_0$ in kilo-radians/s is	III	$4$
S	The value of $V_0$ in Volt is	IV	$20$
			200

A particle of mass m is moving in a circular orbit under the influence of the central force$ f(r) = −kr$, corresponding to the potential energy $v(r) = \frac{kr^2}{2}$, where $k$ is a positive force constant and $ r$ is the radial distance from the origin. According to the Bohr’s quantization rule, the angular momentum of the particle is given by $L= nℏ$, where$ ℏ = ℎ/(2pi), ℎ$ is the Planck’s constant, and $n$ a positive integer. If $v$ and $E$ are the speed and total energy of the particle, respectively, then which of the following expression(s) is(are) correct?

One mole of a monatomic ideal gas undergoes the cyclic process J→ K→ L→ M→ J, as shown in the P-T diagram.Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

Match the quantities mentioned in List-I with their values in List-II and choose the correct option. [ℛ is the gas constant.]

List-I		List-II
P	Work done in the complete cyclic process	I	$ℛT_0 − 4ℛT_0 ln 2$
Q	Change in the internal energy of the gas in the process JK	II	$0$
R	Heat given to the gas in the process KL	III	$3ℛT_0$
S	Change in the internal energy of the gas in the process MJ	IV	$−2ℛT_0 ln 2$
			\[−3ℛT_0 ln 2\]

Four identical thin, square metal sheets, S1, S2, S3 and S4, each of side a are kept parallel to each other with equal distance $d (≪ a)$ between them, as shown in the figure. Let $C_0 = \epsilon_0\frac{a^2}{d}, $where $\epsilon_0$ is the permittivity of free space.

Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

List-I		List-II
P	The capacitance between S1 and S4, with S2 and S3 not connected, is	I	$3C_0$
Q	The capacitance between S1 and S4, with S2 shorted to S3, is	II	$\frac{C_0}{2}$
R	The capacitance between S1 and S3, with S2 shorted to S4, is	III	$\frac{C_0}{3}$
S	The capacitance between S1 and S2, with S3 shorted to S1, and S2 shorted to S4, is	IV	$2\frac{C_0}{3}$
			\[2C_0\]

A light ray is incident on the surface of a sphere of refractive index n at an angle of incidence $\theta_0$. The ray partially refracts into the sphere with angle of refraction $\phi$ and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial refraction. The total angle of deviation of the emergent ray with respect to the incident ray is $a$. Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

List-I		List-II
P	If $n = 2$ and $\alpha = 180°$, then all the possible values of $\theta_0$ will be	I	$30\degree$ or $0\degree$
Q	If $n = √3$ and $\alpha= 180°$, then all the possible values of $\theta_0$ will be	II	$60\degree$ or $0\degree$
R	If $n = √3$ and $\alpha= 180°$, then all the possible values of $\phi_0$ will be	III	$45\degree$ or $ 0\degree$
S	If $n = \sqrt2$ and $\theta_0 = 45°$, then all the possible values of $\alpha$ will be	IV	$150\degree$
			\[0\degree\]

A monochromatic light wave is incident normally on a glass slab of thickness as shown in the figure. The refractive index of the slab increases linearly from n₁ to n₂ over the height of h. Which of the following statements is/are true about the light wave emerging out of the slab?

Monochromatic light wave

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?

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.

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?

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 _________.

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?

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

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 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?

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 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 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

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 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?

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?

List-I		List-II
P	If \(n = 2\) and \(\alpha = 180°\), then all the possible values of \(\theta_0\) will be	I	\(30\degree\) or \(0\degree\)
Q	If \(n = √3\) and \(\alpha= 180°\), then all the possible values of \(\theta_0\) will be	II	\(60\degree\) or \(0\degree\)
R	If \(n = √3\) and \(\alpha= 180°\), then all the possible values of \(\phi_0\) will be	III	\(45\degree\) or \( 0\degree\)
S	If \(n = \sqrt2\) and \(\theta_0 = 45°\), then all the possible values of \(\alpha\) will be	IV	\(150\degree\)
			\[0\degree\]

List-I		List-II
P	The value of \(I1\) in Ampere is	I	\(0\)
Q	The value of I2 in Ampere is	II	\(2\)
R	The value of \(\omega_0\) in kilo-radians/s is	III	\(4\)
S	The value of \(V_0\) in Volt is	IV	\(20\)
			200

List of top Physics Questions asked in JEE Advanced

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