Work, Energy and Power

13 JEE Main questions · Physics

Work and kinetic energy

PhysicsJEE Main 21 Jan 2026, Shift 2·Q19·MCQ·Easy–moderate
Open
A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by $x(t) = \alpha t^2 + \beta t + \gamma$ , where $\alpha = 1\ \mathrm{m/s^2}$ , $\beta = 1$ m/s and $\gamma = 1$ m. The work done on the body during the time interval $t = 2$ s to $t = 3$ s, is J.
1. (1)49
2. (2)42
3. (3)24
4. (4)12
We corrected a printing error in the original paper
Source printed “ $x(t) = \alpha t^2 + \beta t + \gamma\,\mathrm{m}$ ” (unit m doubled on $\gamma = 1$ m).
PhysicsJEE Main 2 Apr 2026, Shift 2·Q11·MCQ·Easy–moderate
Open
A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by sand on the ball is N. (Take $g = 10\ \mathrm{m/s^2}$ )
1. (1)1980
2. (2)2020
3. (3)2000
4. (4)1000
We corrected a printing error in the original paper
Assumption “(Take $g = 10\ \mathrm{m/s^2}$ )” added; the source leaves it unstated, and with $g = 9.8\ \mathrm{m/s^2}$ option (1) would be correct.
PhysicsJEE Main 4 Apr 2026, Shift 1·Q21·Numerical·Easy–moderate
Open
A 1 kg block subjected to two simultaneous forces $(2\hat i + 3\hat j + 4\hat k)$ N and $(3\hat i - \hat j - 2\hat k)$ N is moved a distance of 25 m along $(3\hat i - 4\hat j)$ direction. The work done in this process is J.
PhysicsJEE Main 5 Apr 2026, Shift 2·Q3·MCQ·Moderate
Open
A mass of 1 kg kept in an inclined plane with $30^\circ$ inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4 m/s. The work done by the frictional force in time 2s is J.
(Take $g = 10\ \mathrm{m/s^2}$ )
1. (1)20
2. (2)25
3. (3)30
4. (4)10
We corrected a printing error in the original paper
Source printed “kept in a inclined plane”.
PhysicsJEE Main 5 Apr 2026, Shift 2·Q13·MCQ·Moderate
Open
A particle of charge $q$ and mass $m$ is projected from origin with an initial velocity $\vec v = \left(\dfrac{v_0}{\sqrt2}\hat{\mathrm x} + \dfrac{v_0}{\sqrt2}\hat{\mathrm y}\right)$ . There exists a uniform magnetic field $\vec B = B_0\hat{\mathrm z}$ and a space varying electric field $\vec E = E_0e^{-\lambda x}\hat{\mathrm x}$ within the region $0 \le x \le L$ . After travelling a distance such that x-coordinate has changed from $x = 0$ to $x = L$ , the change in the kinetic energy is.
1. (1) $\dfrac{qE_0}{\lambda}\left[1 - e^{-\lambda L}\right]$
2. (2) $\left(\dfrac{v_0qB_0}{2\lambda}\right)\left[2 - e^{-2\lambda L}\right]$
3. (3) $\dfrac{qE_0}{\lambda}\left[1 + e^{-\lambda L}\right]$
4. (4) $q\left[\dfrac{E_0 + v_0B_0}{\lambda}\right]\left[1 - e^{-\lambda L/2}\right]$
PhysicsJEE Main 6 Apr 2026, Shift 1·Q3·MCQ·Easy–moderate
Open
The rain drop of mass 1 g, starts with zero velocity from a height of 1 km. It hits the ground with a speed of 5 m/s. The work done by the unknown resistive force is J. (take $g = 10\ \mathrm{m/s^2}$ )
1. (1) $-8.75$
2. (2) $-8.35$
3. (3) $-9.55$
4. (4) $-9.98$
PhysicsJEE Main 6 Apr 2026, Shift 2·Q4·MCQ·Easy–moderate
Open
A body of mass 1 kg moves along a straight line with a velocity $v = 2x^2$ . The work done on the body during displacement from $x = 0$ to 5 m is J.
1. (1)0
2. (2)250
3. (3)1250
4. (4)1000
We corrected a printing error in the original paper
Source printed “The work done by the body”; corrected to the intended “The work done on the body” (the key 1250 J is the gain in kinetic energy; the work done by the body would be $-1250$ J).

Potential energy and conservation

PhysicsJEE Main 21 Jan 2026, Shift 1·Q1·MCQ·Easy–moderate
Open
Potential energy ( $V$ ) versus distance ( $x$ ) is given by the graph, Rank various regions as per the magnitudes of the force (F) acting on a particle from high to low.
1. (1) $F_{BC} > F_{CD} > F_{DE} > F_{AB}$
2. (2) $F_{CD} > F_{AB} > F_{BC} > F_{DE}$
3. (3) $F_{CD} > F_{DE} > F_{AB} > F_{BC}$
4. (4) $F_{BC} > F_{AB} > F_{DE} > F_{CD}$
PhysicsJEE Main 22 Jan 2026, Shift 2·Q16·MCQ·Easy
Open
Given below are two statements :
Statement I : An object moves from position $r_1$ to position $r_2$ under a conservative force field $\vec F$ . The work done by the force is $W = -\displaystyle\int_{r_1}^{r_2}\vec F\cdot\vec{dr}$ .
Statement II : Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements, choose the correct answer from the options given below :
1. (1)Both Statement I and Statement II are true
2. (2)Statement I is false but Statement II is true
3. (3)Statement I is true but Statement II is false
4. (4)Both Statement I and Statement II are false
We corrected a printing error in the original paper
Answer corrected; the source key is (3) — the work done by a conservative force is $+\int\vec F\cdot\vec{dr}$ , so Statement I (with the minus sign) is false, and Statement II is false.
PhysicsJEE Main 23 Jan 2026, Shift 1·Q2·MCQ·Moderate
Open
A small bob A of mass $m$ is attached to a massless rigid rod of length 1m pivoted at point P and kept at an angle of $60^\circ$ with vertical as shown in figure. At distance of 1m below point P, an identical bob B is kept at rest on a smooth horizontal surface that extends to a circular track of radius R as shown in figure. If bob B just manages to complete the circular path of radius R upto a point Q after being hit elastically by bob A, then radius R is m.
1. (1) $\dfrac35$
2. (2) $\dfrac15$
3. (3) $\dfrac{2+\sqrt3}{5}$
4. (4) $\dfrac{2-\sqrt3}{5}$
We corrected a printing error in the original paper
Source printed “A small both A”.
PhysicsJEE Main 23 Jan 2026, Shift 1·Q7·MCQ·Easy–moderate
Open
Two blocks with masses 100g and 200g are attached to the ends of springs A and B as shown in figure. The energy stored in A is E. The energy stored in B, when spring constants $k_A$ , $k_B$ of A and B, respectively satisfy the relation $4k_A = 3k_B$ , is:
1. (1)4E
2. (2)2E
3. (3)3E
4. (4) $\dfrac43$ E
PhysicsJEE Main 23 Jan 2026, Shift 2·Q8·MCQ·Moderate
Open
A bead $P$ is sliding on a frictionless semi-circular string ( $ACB$ ) and it is at point $S$ at $t = 0$ and at this instant the horizontal component of its velocity is $v$ . Another bead $Q$ of the same mass as $P$ is ejected from point $A$ at $t = 0$ along the horizontal string $AB$ , with the speed $v$ , friction between the beads and the respective strings may be neglected in both cases. Let $t_P$ and $t_Q$ be the respective times taken by beads $P$ and $Q$ to reach the point $B$ , then the relation between $t_P$ and $t_Q$ is
1. (1) $t_P > t_Q$
2. (2) $t_P < t_Q$
3. (3) $t_P > 1.25\,t_Q$
4. (4) $t_P = t_Q$
We corrected a printing error in the original paper
Source printed “A bead $P$ sliding on” (“is” missing); the subscript printed as “ $t_p$ ” (bead $P$ ) in the stem and in options (2)–(4).

Power

PhysicsJEE Main 4 Apr 2026, Shift 1·Q24·Numerical·Moderate
Open
A body of mass 2 kg begins to move under the influence of time dependent force $\vec F = (2t\hat i + 6t^2\hat j)$ N, where $\hat i$ and $\hat j$ are unit vectors along x and y-axis respectively. The power produced by the force at $t = 2$ s is W.