List of top Physics Questions asked in JEE Main

If force \( \vec{F}= 2t\,\hat{i} + 3t^2\,\hat{j} \) acts on a particle of mass \(m = 2\,\text{kg}\), find the power at \(t = 2\,\text{s}\) if the particle was initially at rest.
Each diode in the circuit has \(10\Omega\) resistance in forward bias and infinite resistance in reverse bias. Find the time constant of the circuit. Given: \(R=100\Omega\), \(C=0.2\,\mu F\).
Two 4-bit binary numbers \(A = 1101\) and \(B = 1010\) are given in the input logic circuit. Find the output \(Y\).
Length of rods are \( \ell \) and \(2\ell\) respectively and their Young's modulus are \( \gamma \) and \(2\gamma\) respectively. Given: \[ \ell = 0.314\,\text{m}, \quad R = 0.2\,\text{mm} \,(\text{same}), \quad \gamma = 2\times10^9 \]
Find the total extension \( \Delta \ell \).
An ideal gas has number of moles \(n=2\), initial volume \(V_0\) and pressure \[ P=P_0\left[1+\left(\frac{V_0}{V}\right)^2\right]^{-1}. \] The gas goes from state \(A\) (initial) to \(B\) (final) such that volume becomes \(3V_0\). Find \(T_A-T_B\).
Nuclei \(A\) and \(B\) form a nucleus \(C\). Binding energy per nucleon for \(A, B\) and \(C\) are \(3\,\text{MeV}, 7\,\text{MeV}\) and \(6\,\text{MeV}\) respectively. Find the energy produced in the reaction: \[ 2A^{3} + B^{4} \rightarrow C^{10} \]
Two projectiles \(A\) and \(B\) are launched with the same speed at angles \(15^\circ\) and \(30^\circ\) respectively. Find the ratio of range \(A\) to range \(B\).
The graph shows stopping potential \(V_s\) versus frequency \(f\) of incident light for three different metals \(X_1, X_2,\) and \(X_3\). Choose the metal which will eject photoelectrons with maximum kinetic energy for a given frequency.
Find the ratio of wave number (\( \nu \)) of the 1st line of Balmer series and Brackett series for Hydrogen-like species.
Angular momentum of the electron in a hydrogen atom is $\frac{3h}{2\pi}$, then find the energy of the electron in the orbit :-

Velocity versus time graph is given. Find the magnitude of acceleration of the particle at t = 5 s.

Escape velocity on Earth is ve = √(2gR). A planet of half the radius of Earth has the same density as Earth. The escape speed on that planet is ve / N. Find the value of N.
Find the dimensions of √(G h c⁵).

In the circuit shown below, find the voltage across the capacitor in steady state.

8 Hg drops coalesce to form a single new drop. The ratio of final surface energy of the single drop to the total surface energy of the 8 drops is
In the circuit shown below, find the voltage across the capacitor in steady state.
If angular position of a particle is given by $\theta = \frac{t^4}{4} + t^2$. Find angular acceleration at $t = 1s$:
A cube of side length \(5\,\text{cm}\) having modulus of rigidity \(10^5\,\text{N/m}^2\). The top is pulled by a force \(10\,\text{N}\) while the bottom is fixed. Find the displacement of the upper surface of cube (in mm).
If \(R=\) resistance, \(L=\) inductance, \(C=\) capacitance, then the dimension \([ML^2T^{-4}A^{-2}]\) represents
If speed of light is \(2.12\times10^8\,\text{m/s}\) in the medium of an equilateral prism, find the minimum angle of deviation.
Two points \(A\) and \(B\) are \(16\,\text{km}\) from the surface of Earth. Point \(A\) is above the surface while point \(B\) is below the surface. Acceleration due to gravity at \(A\) and \(B\) are \(g_A\) and \(g_B\) respectively. Find \(\dfrac{g_A}{g_B}\). (Take radius of Earth \(R = 6400\,\text{km}\))

LED (light emitting diode) and logic gates circuit is given in figure. For what combination of \(A,B,C\) will both LEDs glow? 

A ball is dropped from a height \(18\,\text{m}\) above the ground. At any moment, if magnitude of acceleration and velocity are same, find its height above ground at that instant.

Find the ratio of \(T_1\) and \(T_2\) for the system shown.

In the below diagram inductance \(L_1 = L_2 = L_3 = L\). Find the ratio of total energy stored in all inductors to energy stored in inductor \(L_2\).