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A particle moving with uniform speed in a circular path maintains:

1. | constant acceleration |

2. | constant velocity but varying acceleration |

3. | varying velocity and varying acceleration |

4. | constant velocity |

Subtopic: Circular Motion |

60%

From NCERT

NEET - 2024

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For a smoothly running analog clock, the ratio of the number of rotations made in a day by the hour hand to the second hand, respectively, is:

1. | \(24 :1\) | 2. | \(1:720\) |

3. | \(1:60\) | 4. | \(2:5\) |

Subtopic: Circular Motion |

64%

From NCERT

NEET - 2024

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A body is falling freely in a resistive medium. The motion of the body is described by \(\frac{dv}{dt}=(4-2v),\) where \(v\) is the velocity of the body at any instant (in \(\text{ms}^{–1}\)). The initial acceleration and terminal velocity of the body, respectively, are:

1. | \(4~\text{m/s}^2,\) \(2~\text{m/s}\) |

2. | \(2~\text{m/s}^2,\) \(4~\text{m/s}\) |

3. | \(6~\text{m/s}^2,\) \(2~\text{m/s}\) |

4. | \(2~\text{m/s}^2,\) \(6~\text{m/s}\) |

Subtopic: Speed & Velocity |

61%

From NCERT

NEET - 2024

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A bullet is fired from a gun at the speed of \(280~\text{ms}^{-1}\) in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is:\(\left(g=9.8~\text{m/s}^{2}, \sin30^{\circ}=0.5\right)\)

1. | \(3000~\text{m}\) | 2. | \(2800~\text{m}\) |

3. | \(2000~\text{m}\) | 4. | \(1000~\text{m}\) |

Subtopic: Projectile Motion |

63%

From NCERT

NEET - 2023

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The position of a particle is given by; \(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k,\) where \(t\) is in seconds and \(r\) in metres. Find the magnitude and direction of the velocity \(v(t)\), at \(t=1~\text{s},\) with respect to the \(x\text-\)axis.

1. | \(4\sqrt2~\text{ms}^{-1},45^\circ\) | 2. | \(4\sqrt2~\text{ms}^{-1},60^\circ\) |

3. | \(3\sqrt2~\text{ms}^{-1},30^\circ\) | 4. | \(3\sqrt2~\text{ms}^{-1},45^\circ\) |

Subtopic: Speed & Velocity |

79%

From NCERT

NEET - 2023

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A ball is projected from point \(A\) with velocity \(20\) ms^{–1} at an angle \(60^\circ\) to the horizontal direction. At the highest point \(B\) of the path (as shown in figure), the velocity \(v\) (in ms^{–1}) of the ball will be:

1. \(20\)

2. \(10\sqrt3\)

3. zero

4. \(10\)

1. \(20\)

2. \(10\sqrt3\)

3. zero

4. \(10\)

Subtopic: Projectile Motion |

69%

From NCERT

NEET - 2023

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A particle is executing uniform circular motion with velocity \(\vec v\) and acceleration \(\vec a.\) Which of the following is true?

1. | \(\vec v\) is a constant; \(\vec a\) is not a constant. |

2. | \(\vec v\) is not a constant; \(\vec a\) is not a constant. |

3. | \(\vec v\) is a constant; \(\vec a\) is a constant. |

4. | \(\vec v\) is not a constant; \(\vec a\) is a constant. |

Subtopic: Circular Motion |

58%

From NCERT

NEET - 2023

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A ball is projected with a velocity of \(10~\text{m/s}\) at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:

1. \(10~\text{m/s}\)

2. zero

3. \(5\sqrt{3}~\text{m/s}\)

4. \(5~\text{m/s}\)

1. \(10~\text{m/s}\)

2. zero

3. \(5\sqrt{3}~\text{m/s}\)

4. \(5~\text{m/s}\)

Subtopic: Projectile Motion |

60%

From NCERT

NEET - 2022

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Rain is falling vertically downward with a speed of \(35~\text{m/s}.\) The wind starts blowing after some time with a speed of \(12~\text{m/s}\) in the east to the west direction. The direction in which a boy standing at the place should hold his umbrella is:

1. | \(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to rain |

2. | \(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to wind |

3. | \(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to rain |

4. | \(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to wind |

Subtopic: Relative Motion |

69%

From NCERT

NEET - 2022

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A cricket ball is thrown by a player at a speed of \(20\) m/s in a direction \(30^\circ\) above the horizontal. The maximum height attained by the ball during its motion is: (Take \(g=10\) m/s^{2})

1. \(5\) m

2. \(10\) m

3. \(20\) m

4. \(25\) m

1. \(5\) m

2. \(10\) m

3. \(20\) m

4. \(25\) m

Subtopic: Projectile Motion |

74%

From NCERT

NEET - 2022

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