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The quantities which have the same dimensions as those of solid angle are:

1. stress and angle

2. strain and arc

3. angular speed and stress

4. strain and angle

1. stress and angle

2. strain and arc

3. angular speed and stress

4. strain and angle

Subtopic: Dimensions |

64%

From NCERT

NEET - 2024

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In a vernier callipers, \((N+1)\) divisions of the vernier scale coincide with \(N\) divisions of the main scale. If \(1\) \(\text{MSD}\) represents \(0.1~\text{mm}\), the vernier constant (in \(\text{cm}\)) is:

1. | \(\dfrac{1}{100(N+1)} \) | 2. | \(100N\) |

3. | \(10(N+1) \) | 4. | \(\dfrac{1}{10 N}\) |

Subtopic: Measurement & Measuring Devices |

69%

From NCERT

NEET - 2024

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A force defined by; \(F = \alpha t^2 + \beta t\) acts on a particle at a given time \(t.\) The factor which is dimensionless, if \(\alpha\) and \(\beta\) are constants, is:

1. | \(\alpha t / \beta \) | 2. | \(\alpha \beta t \) |

3. | \(\alpha \beta / t \) | 4. | \(\beta t / \alpha\) |

Subtopic: Dimensions |

63%

From NCERT

NEET - 2024

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The percentage errors in the measurement of mass and momentum of an object are \(1\%\) and \(2\%\) respectively. The percentage error in the measurement of kinetic energy of the object will be:

1. \(1\%\)

2. \(3\%\)

3. \(4\%\)

4. \(5\%\)

1. \(1\%\)

2. \(3\%\)

3. \(4\%\)

4. \(5\%\)

Subtopic: Errors |

67%

From NCERT

NEET - 2024

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Match List- I with List- II.

Choose the correct answer from the options given below:

List-I (Measured values) |
List-II (Significant figures) |
||

A. | \(0.001213\) | I. | \(2\) |

B. | \(2.1 \times 10^{16} \) | II. | \(3\) |

C. | \(3.70\) | III. | \(1\) |

D. | \(3000\) | IV. | \(4\) |

Choose the correct answer from the options given below:

1. | A-III, B-II, C-I, D-IV |

2. | A-III, B-I, CII, D-IV |

3. | A-I, B-II, C-IV, D-III |

4. | A-IV, B-I, C-II, D-III |

Subtopic: Significant Figures |

87%

From NCERT

NEET - 2024

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A vernier calipers has \(1~\text{mm}\) marks on the main scale. It has \(20\) equal divisions on the vernier scale which match with \(16\) main scale divisions. The least count of this vernier calipers is:

1. | \(0.02~\text{mm}\) | 2. | \(0.05~\text{mm}\) |

3. | \(0.10~\text{mm}\) | 4. | \(0.20~\text{mm}\) |

Subtopic: Measurement & Measuring Devices |

70%

From NCERT

NEET - 2024

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The pitch of an error-free screw gauge is \(1~\text{mm},\) and there are \(100\) divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads \(1~\text{mm},\) and \(63^\text{rd}\) division on the circular scale coincides with the reference line. The diameter of the wire is:

1. \(1.63 ~\text{cm}\)

2. \(0.163 ~\text{cm}\)

3. \(0.163~\text m\)

4. \(1.63 ~\text m\)

1. \(1.63 ~\text{cm}\)

2. \(0.163 ~\text{cm}\)

3. \(0.163~\text m\)

4. \(1.63 ~\text m\)

Subtopic: Measurement & Measuring Devices |

75%

From NCERT

NEET - 2024

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The potential energy of a particle moving along the \(x\text-\)direction varies as \({V}=\dfrac{{A}x^{2}}{\sqrt{x}+{B}}.\) The dimensions of \(\dfrac{A^2}{B}\) are:

1. \([{M}^{3/2}{L}^{1/2}{T}^{-3}]\)

2. \([M^{1/2}LT^{-3}]\)

3. \([{M}^2{L}^{1/2}{T}^{-4}]\)

4. \([ML^{2}T^{-4}]\)

1. \([{M}^{3/2}{L}^{1/2}{T}^{-3}]\)

2. \([M^{1/2}LT^{-3}]\)

3. \([{M}^2{L}^{1/2}{T}^{-4}]\)

4. \([ML^{2}T^{-4}]\)

Subtopic: Dimensions |

74%

From NCERT

NEET - 2024

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A metal wire has mass \((0.4\pm 0.002)~\text{g}\), radius \((0.3\pm 0.001)~\text{mm}\) and length \((5\pm 0.02)~\text{cm}\). The maximum possible percentage error in the measurement of density will nearly be:

1. \(1.4 \%\)

2. \(1.2 \%\)

3. \(1.3 \%\)

4. \(1.6 \%\)

1. \(1.4 \%\)

2. \(1.2 \%\)

3. \(1.3 \%\)

4. \(1.6 \%\)

Subtopic: Errors |

50%

From NCERT

NEET - 2023

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The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

1. | Random errors |

2. | Instrumental errors |

3. | Personal errors |

4. | Least count errors |

Subtopic: Errors |

69%

From NCERT

NEET - 2023

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