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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 |

58%

From NCERT

NEET - 2024

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

1. \(24 :1\)

2. \(1:720\)

3. \(1:60\)

4. \(2:5\)

1. \(24 :1\)

2. \(1:720\)

3. \(1:60\)

4. \(2:5\)

Subtopic: Circular Motion |

62%

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 \(\dfrac{dv}{dt}=(4-2v),\) where \(v\) is the velocity of body at any instant (in ms^{–1}). The initial acceleration and terminal velocity of the body, respectively, are:

1. | \(4\) ms^{–2}, \(2\) ms^{–1} |
2. | \(2\) ms^{–2}, \(4\) ms^{–1} |

3. | \(6\) ms^{–2}, \(2\) ms^{–1} |
4. | \(2\) ms^{–2}, \(6\) ms^{–1} |

Subtopic: Speed & Velocity |

59%

From NCERT

NEET - 2024

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A bullet is fired from a gun at the speed of \(280\) ms^{–1} in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is: (\(g=9.8\) ms^{–2}, \(\mathrm{sin}30^\circ=0.5\) )

1. | \(3000\) m | 2. | \(2800\) m |

3. | \(2000\) m | 4. | \(1000\) m |

Subtopic: Projectile Motion |

61%

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 metre. Find the magnitude and direction of velocity \(v(t)\), at \(t=1~\mathrm{s}\), with respect to \(x\)-axis:

\(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k\)

where \(t\) is in seconds and \(r\) in metre. Find the magnitude and direction of velocity \(v(t)\), at \(t=1~\mathrm{s}\), with respect to \(x\)-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 |

77%

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. | \(10\) |

Subtopic: Projectile Motion |

67%

From NCERT

NEET - 2023

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

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

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

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

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

Subtopic: Circular Motion |

55%

From NCERT

NEET - 2023

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A ball is projected with a velocity of \(10\) ms^{–1} at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:

1. | \(10\) ms^{–1} |
2. | zero |

3. | \(5\sqrt3\) ms^{–1} |
4. | \(5\) ms^{–1} |

Subtopic: Projectile Motion |

59%

From NCERT

NEET - 2022

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

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

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

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

4. | \(\text{tan}^{-1}\Big(\dfrac{12}{35}\Big)\) 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 |

73%

From NCERT

NEET - 2022

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