List of top Physics Questions asked in JEE Advanced

Two metallic rings $A$ and $B$, identical in shape and size but having different resistivities $\rho_A \, and \, \rho_B$, are kept on top of two identical solenoids as shown in the figure. When current $I$ is switched on in both the solenoids in identical manner, the rings $A$ and $B$ jump to heights $h_A \, and \, h_B$, respectively, with $h_A > h_B$. The possible relation(s) between their resistivities and their masses $m_A$ and $m_B$ is (are)

Ablockofbase $l0 cm\times10 cm$ and height 15 cm is kept on an inclined plane. The coefficient of friction between them is $\sqrt3$. The inclination $\theta$ of this inclined plane from the horizontal plane is gradually increased from 0$^{\circ}$. Then

A sphere is rolling without slipping on a fixed horizontal plane surface In the figure, A is the point of contact. B is the centre of the sphere and C is its topmost point. Then,

C$_v$ and C$_p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air column is the second resonance. Then,

A ball is dropped from a height of $20\, m$ above the surface of water in a lake. The refractive index of water is$\frac{4}{3}$ A fish fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as ($Take g = 10\,m/s^2$)

A block (5) is attached to two unstretched springs $ S_1 \, \, and \, \, S_2 $ with spring constants k and 4k, respectively. The other ends are attached to two supports $ M_1 $ and $ M_2 $ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio $\frac{y}{x}$ is

Figure shows three resistor configurations $R_{1}, R_{2}$ and $R_{2}$ connected to $3 V$ battery. If the power dissipated by the configuration $R_{1}, R_{2}$ and $R_{3}$ is $P_{1}, P_{2}$ and $P_{3}$, respectively, then

An ideal gas is expanding such that $PT^2$ = constant. The coefficient of volume expansion of the gas is

A particle of mass $m$ and charge $q$, moving with velocity $V$ enters Region II normal to the boundary as shown in the figure. Region II has a uniform magnetic field B perpendicular to the plane of the paper. The length of the Region II is $I$. Choose the correct choice (s).

A light beam is travelling from Region $I$ to Region $IV$ (Refer Figure). The refractive index in Regions $I, II, III$ and $IV$ are $n_0,\frac{n_0}{2},\frac{n_0}{6} \, \, and \, \, \frac{n_0}{8},$ respectively.The angle of incidence $\theta$ for which the beam just misses entering Region $IV$ is

An ideal gas is expanding such that pT$^2$ = constant. The coefficient of volume expansion of the gas is

A vibrating string of certain length $l$ under a tension $T$ resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length $75 \,cm$ inside a tube closed at one end. The string also generates $4\, beats/s$ when excited along with a tuning fork of frequency $n$. Now when the tension of the string is slightly increased the number of beats reduces to $2$ per second. Assuming the velocity of sound in air to be $340, m/s$, the frequency $n$ of the tuning fork in $Hz$ is

Two balls, having linear momenta $ \rho_1 = p \widehat{i} $ and $\rho_2 = - p \widehat{i}, $ undergo a collision in free space. There is no external force acting on the balls. Let $ \rho_2 ' \, and \, \rho_2 ' $. be their final momenta. The following option figure (s) is (are) not allowed for any non-zero value of $ \rho, a_1, a_2, b_1, b_2, c_1 \, and c_2$.

A resistance of $2 \Omega$ is connected across one gap of a meter-bridge (the length of the wire is $100\, cm$) and an unknown resistance, greater than $2 \Omega$, is connected across the other gap. When these resistances are interchanged, the balance point shifts by $20\, cm$. Neglecting any corrections, the unknown resistance is

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then

For inside points $(r \le R) $ $E = 0\, \, \Rightarrow\, \, V =constant = \frac{1}{4 \pi\varepsilon_0} \frac{q}{R}$ For inside points $(r \ge R) $ $\hspace18mm E = \frac{1}{4 \pi\varepsilon_0}.\frac{q}{r^2}$ or $E \propto \frac{1}{r^2}$ and $\hspace10mm V = \frac{1}{4 \pi\varepsilon_0}\frac{q}{r}$ or $V \propto \frac{1}{r}$ On the surface (r = R) $\hspace20mm V = \frac{1}{4 \pi\varepsilon_0}\frac{q}{R}$ $\Rightarrow\hspace15mm E = \frac{1}{4 \pi\varepsilon_0}.\frac{q}{R^2}=\frac{\sigma}{\varepsilon_0}$ where, $ \sigma = \frac{q}{4 \pi R^2}=$ surface charge density corresponding to above equations the correct graphs are shown in option (d).

Two particles of mass $m$ each are tied at the ends of a light string of length $2a$. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance $a$ from the centre $P$ (as shown in the figure). 

Now, the mid-point of the string is pulled vertically upwards with a small but constant force $F$. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes $2x $ is

In the options given below, let E denote the rest mass energy of a nucleus and n a neutron. The correct option is

Electrons with de-Broglie wavelength $ \lambda $ fall on the target in an $X-ray$ tube. The cut-off wavelength of the emitted $X-rays$ is

A magnetic field $B=B_0 \widehat{j}$ exists in the region a < x < 2 a and $B=-B_0 \widehat{j}$ in the region 2a < x < 3a, where $B_0$ is a positive constant. A positive point charge moving with a velocity$v-v_0 \widehat{i} $ where $v_0$ is a positive constant, enters the magnetic field at x = a. The trajectory of the charge in this region can be like

A ray of light travelling in water is incident on its surface open to air. The angle of incidence is $\theta$, which is less than the critical angle. Then there will be

A particle moves in the X-Y plane under the influence of a force such that its linear momentum is $p(t) =A[\widehat{i}cos\, (kt) -\widehat{j}sin\, (kt)]$ where, A and k are constants. The angle between the force and the momentum is

The largest wavelength in the ultraviolet region of the hydrogen spectrum is $122 \,nm$. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is

A point object is placed at a distance of 20 cm from a thin planoconvex lens of focal length 15 cm. The plane surface of the lens is now silvered. The image created by the system is at