Select Chapter Topics:

A ball is thrown vertically downward from a height of \(20\) m with an initial velocity \(v_0\). It collides with the ground, loses \(50\%\) of its energy in a collision, and rebounds to the same height. The initial velocity \(v_0\)_{ }is:

[Take, \(g=10~\mathrm{ms^{-2}}\)]

1. \(14\) ms^{-1}

2. \(20\) ms^{-1}

3. \(28\) ms^{-1}

4. \(10\) ms^{-1}

Subtopic: Work Energy Theorem |

64%

From NCERT

NEET - 2015

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Two similar springs \(P\) and \(Q\) have spring constants \(k_P\) and \(k_Q\), such that \(k_P>k_Q\). They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs \(W_P\)_{ }and \(W_Q\) are related as, in case (a) and case (b), respectively:

1. \(W_P=W_Q;~W_P>W_Q\)

2. \(W_P=W_Q;~W_P=W_Q\)

3. \(W_P>W_Q;~W_P<W_Q\)

4. \(W_P<W_Q;~W_P<W_Q\)

Subtopic: Work Energy Theorem |

72%

From NCERT

NEET - 2015

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

A block of mass \(10\) kg, moving in the x-direction with a constant speed of \(10\) ms^{-1} is subjected to a retarding force \(F=0.1x\) J/m during its travel from \(x = 20\) m to \(30\) m. Its final kinetic energy will be:

1. \(475\) J

2. \(450\) J

3. \(275\) J

4. \(250\) J

Subtopic: Work Energy Theorem |

71%

From NCERT

NEET - 2015

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

A particle of mass \(m\) is driven by a machine that delivers a constant power of \(k\) watts. If the particle starts from rest, the force on the particle at time \(t\) is:

1. \(
\sqrt{\frac{m k}{2}} t^{-1 / 2}
\)

2. \( \sqrt{m k} t^{-1 / 2}
\)

3. \( \sqrt{2 m k} t^{-1 / 2}
\)

4. \( \frac{1}{2} \sqrt{m k} t^{-1 / 2}\)

Subtopic: Power |

54%

From NCERT

NEET - 2015

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Two particles of masses m_{1} and m_{2} move with initial velocities u_{1} and u_{2} respectively. On collision, one of the particles gets excited to a higher level, after absorbing energy E. If the final velocities of particles are v_{1} and v_{2}, then we must have:

1. ${\mathrm{m}}_{1}^{2}{\mathrm{u}}_{1}+{\mathrm{m}}_{2}^{2}{\mathrm{u}}_{2}-\mathrm{E}={\mathrm{m}}_{1}^{2}{\mathrm{v}}_{1}+{\mathrm{m}}_{2}^{2}{\mathrm{v}}_{2}$

2. $\frac{1}{2}{\mathrm{m}}_{1}{\mathrm{u}}_{1}^{2}+\frac{1}{2}{\mathrm{m}}_{2}{\mathrm{u}}_{2}^{2}=\frac{1}{2}{\mathrm{m}}_{1}{\mathrm{v}}_{1}^{2}+\frac{1}{2}{\mathrm{m}}_{2}{\mathrm{v}}_{2}^{2}$

3. $\frac{1}{2}{\mathrm{m}}_{1}{\mathrm{u}}_{1}^{2}+\frac{1}{2}{\mathrm{m}}_{2}{\mathrm{u}}_{2}^{2}-\mathrm{E}=\frac{1}{2}{\mathrm{m}}_{1}{\mathrm{v}}_{1}^{2}+\frac{1}{2}{\mathrm{m}}_{2}{\mathrm{v}}_{2}^{2}$

4. $\frac{1}{2}{\mathrm{m}}_{1}^{2}{\mathrm{u}}_{1}^{2}+\frac{1}{2}{\mathrm{m}}_{2}^{2}{\mathrm{u}}_{2}^{2}+\mathrm{E}=\frac{1}{2}{\mathrm{m}}_{1}^{2}{\mathrm{v}}_{1}^{2}+\frac{1}{2}{\mathrm{m}}_{2}^{2}{\mathrm{v}}_{2}^{2}$

Subtopic: Collisions |

62%

From NCERT

NEET - 2015

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

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 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

A uniform force of \((3 \hat{i} + \hat{j})\) newton acts on a particle of mass \(2\) kg. Hence the particle is displaced from position \((2 \hat{i} + \hat{k})\) meter to position \((4 \hat{i} + 3 \hat{j} - \hat{k})\) meter. The work done by the force on the particle is:

1. \(6\) J

2. \(13\) J

3. \(15\) J

4. \(9\) J

Subtopic: Concept of Work |

80%

From NCERT

AIPMT - 2013

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

A particle with total energy \(E\) is moving in a potential energy region \(U(x).\) The motion of the particle is restricted to the region where:

1. \(U(x)<E\)

2. \(U(x)=0\)

3. \(U(x)\leq E\)

4. \(U(x)> E\)

1. \(U(x)<E\)

2. \(U(x)=0\)

3. \(U(x)\leq E\)

4. \(U(x)> E\)

Subtopic: Conservation of Mechanical Energy |

From NCERT

NEET - 2013

Please attempt this question first.

Hints

One coolie takes \(1\) minute to raise a suitcase through a height of \(2\) m but the second coolie takes \(30\) s to raise the same suitcase to the same height. The powers of two coolies are in the ratio:

1. \(1:3\)

2. \(2:1\)

3. \(3:1\)

4. \(1:2\)

1. \(1:3\)

2. \(2:1\)

3. \(3:1\)

4. \(1:2\)

Subtopic: Power |

86%

From NCERT

NEET - 2013

Please attempt this question first.

Hints

Please attempt this question first.

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. \(B/A\)

2. \(B/2A\)

3. \(2A/B\)

4. \(A/B\)

Subtopic: Potential Energy: Relation with Force |

77%

From NCERT

AIPMT - 2012

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh

Hints

Links

To view explanation, please take trial in the course.

NEET 2023 - Target Batch - Aryan Raj Singh