# A uniform chain of length $$L$$ and mass $$M$$ is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If $$g$$ is acceleration due to gravity, the work required to pull the hanging part on the table is: 1. $$MgL$$ 2. $$MgL/3$$ 3. $$MgL/9$$ 4. $$MgL/18$$

Subtopic:  Gravitational Potential Energy |
73%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle of mass 'm' is moving in a horizontal circle of radius 'r' under a centripetal force equal to –K/r2, where K is a constant. The total energy of the particle will be:

1. $\frac{K}{2r}$

2. $-\frac{K}{2r}$

3. $-\frac{K}{r}$

4. $\frac{K}{r}$

Subtopic:  Potential Energy: Relation with Force |
58%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The relationship between force and position is shown in the given figure (in a one-dimensional case). The work done by the force in displacing a body from $$x = 1$$ cm to $$x = 5$$ cm is:

1. $$20$$ ergs
2. $$60$$ ergs
3. $$70$$ ergs
4. $$700$$ ergs

Subtopic:  Work Done by Variable Force |
83%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A ball is thrown vertically downwards from a height of 20 m with an initial velocity vo. It collides with the ground, loses 50% of its energy in a collision and rebounds to the same height. The initial velocity vo is: (Take g = 10 ms-2)

1. 14 ms-1
2. 20 ms-1
3. 28 ms-1
4. 10 ms-1

Subtopic:  Conservation of Mechanical Energy |
65%
From NCERT
NEET - 2015
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A block of mass $$M$$ is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of $$k.$$ The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be:
1. $$Mg/k$$
2. $$2Mg/k$$
3. $$4Mg/k$$
4. $$Mg/2k$$

Subtopic:  Conservation of Mechanical Energy |
68%
From NCERT
NEET - 2009
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A position dependent force $$F=7-2x+3x^2$$ N acts on a small body of mass $$2$$ kg and displaces it from $$x = 0$$ to $$x = 5$$ m. The work done in joule is:

 1 $$70$$ 2 $$270$$ 3 $$35$$ 4 $$135$$
Subtopic:  Work Done by Variable Force |
82%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A stone is projected from a horizontal plane. It attains maximum height, 'H', and strikes a stationary smooth wall & falls on the ground vertically below the maximum height. Assuming the collision to be elastic, the height of the point on the wall where the ball will strike will be:

 1 $$\frac{H}{2}$$ 2 $$\frac{H}{4}$$ 3 $$\frac{3 H}{4}$$ 4 None of these
Subtopic:  Collisions |
54%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

On a frictionless surface, a block of mass $$M$$ moving at speed $$v$$ collides elastically with another block of the same mass $$M$$ which is initially at rest. After the collision, the first block moves at an angle $$\theta$$ to its initial direction and has a speed $$\frac{v}{3}$$. The second block’s speed after the collision will be:

 1 $$\frac{2\sqrt{2}}{3}v$$ 2 $$\frac{3}{4}v$$ 3 $$\frac{3}{\sqrt{2}}v$$ 4 $$\frac{\sqrt{3}}{2}v$$
Subtopic:  Collisions |
66%
From NCERT
NEET - 2015
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The potential energy of a particle in a force field is $$U=$$$\frac{A}{{r}^{2}}-\frac{B}{r}$ where $$A$$ and $$B$$ are positive constants and $$r$$ is the distance of the particle from the center of the field. For stable equilibrium, the distance of the particle is:

 1 $$\frac{B}{A}$$ 2 $$\frac{B}{2A}$$ 3 $$\frac{2A}{B}$$ 4 $$\frac{A}{B}$$

Subtopic:  Potential Energy: Relation with Force |
77%
From NCERT
AIPMT - 2012
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A force of 5 N making an angle $\theta$ with the horizontal acting on an object displaces it by 0.4 m along the horizontal direction. If the object gains kinetic energy of 1 J then the component of the force is:

 1 1.5 N 2 2.5 N 3 3.5 N 4 4.5 N
Subtopic:  Work Energy Theorem |
87%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints