Select Chapter Topics:

Which one of the following statements is not true?

1. | The magnitude of a vector is always a scalar. |

2. | The average speed of a particle is either greater or equal to the magnitude of the average velocity of the particle over the same interval of time. |

3. | Three vectors not lying in a plane can never add up to give a null vector. |

4. | Each component of a vector is always a scalar. |

Subtopic: Speed & Velocity |

55%

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A cyclist starts from the center \(\mathrm{O}\) of a circular park of radius \(1\) km, reaches the edge \(\mathrm{P}\) of the park, then cycles along the circumference, and returns to the center along \(\mathrm{QO}\) as shown in the figure. If the round trip takes \(10\) min, then the average speed of the cyclist is:

1. \(22.42\) km/h

2. \(23.32\) km/h

3. \(21.42\) km/h

4. \(27.12\) km/h

Subtopic: Speed & Velocity |

71%

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A cricketer can throw a ball to a maximum horizontal distance of \(100~\text{m}\). How much high above the ground, can the cricketer throw the same ball?

1. \(50~\text{m}\)

2. \(60~\text{m}\)

3. \(75~\text{m}\)

4. \(100~\text{m}\)

Subtopic: Projectile Motion |

76%

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An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Then the ratio of its centripetal acceleration with the acceleration due to gravity is:

1. 5.4:1

2. 6.4:1

3. 4:1

4. 1:1

Subtopic: Circular Motion |

68%

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Three girls skating on a circular ice ground of radius \(200\) m start from a point \(P\) on the edge of the ground and reach a point \(Q\) diametrically opposite to \(P\) following different paths as shown in the figure. The correct relationship among the magnitude of the displacement vector for three girls will be:

1. \(A > B > C\)

2. \(C > A > B\)

3. \(B > A > C\)

4. \(A = B = C\)

Subtopic: Position & Displacement |

84%

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Rain is falling vertically with a speed of \(30\) m/s. A woman rides a bicycle with a speed of \(10\) m/s in the north to south direction. What is the direction in which she should hold her umbrella? [Given: \(\tan 16^{\circ}= 0.29, \& \tan 18^{\circ}= 0.33]\)

1. | \(16^{\circ}\) with the vertical, towards north |

2. | \(18^{\circ}\) with the vertical, towards north |

3. | \(16^{\circ}\) with the vertical, towards south |

4. | \(18^{\circ}\) with the vertical, towards south |

Subtopic: Relative Motion |

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A man can swim at a speed of \(4.0\) km/h in still water. How long does he take to cross a river \(1.0\) km wide if the river flows steadily at \(3.0\) km/h and he makes his strokes normal to the river current?

1. \(20\) min

2. \(18\) min

3. \(15\) min

4. \(16\) min

Subtopic: Relative Motion |

69%

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In a harbor, the wind is blowing at the speed of \(72~\text{km/h}\), and the flag on the mast of a boat anchored in the harbor flutters along the \(\mathrm{N\text-E}\) direction. If the boat starts moving at a speed of \(51~\text{km/h}\) to the north, what is the direction of the flag on the mast of the boat?

1. | almost due north |

2. | almost due east |

3. | almost due west |

4. | almost due south |

Subtopic: Relative Motion |

57%

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The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m/s can go without hitting the ceiling of the hall?

1. 150.5 m

2. 165.6 m

3. 145.3 m

4. 158.2 m

Subtopic: Projectile Motion |

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A stone tied to the end of a string \(80\) cm long is whirled in a horizontal circle at a constant speed. If the stone makes \(14\) revolutions in \(25\) s, what is the magnitude of the acceleration of the stone?

1. | \(8.1\) ms^{–2} |
2. | \(7.7\) ms^{–2} |

3. | \(8.7\) ms^{–2} |
4. | \(9.9\) ms^{–2} |

Subtopic: Circular Motion |

66%

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