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 is:

1. \(1\%\)

2. \(3\%\)

3. \(4\%\)

4. \(5\%\)

1. \(1\%\)

2. \(3\%\)

3. \(4\%\)

4. \(5\%\)

Subtopic: Â Errors |

Â 66%

From NCERT

NEET - 2024

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A metal wire has mass \((0.4\pm 0.002)~\mathrm{g}\), radius \((0.3\pm 0.001)~\mathrm{mm}\) and length \((5\pm 0.02)~\mathrm{cm}\). 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: Â Errors |

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

1. Random errors

2. Instrumental errors

3. Personal errors

4. Least count errors

Subtopic: Â Errors |

Â 68%

From NCERT

NEET - 2023

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The determination of the value of acceleration due to gravity \((g)\) by simple pendulum method employs the formula,

\(g=4\pi^2\frac{L}{T^2}\)

The expression for the relative error in the value of \(g\) is:

1. | \(\frac{\Delta g}{g}=\frac{\Delta L}{L}+2\Big(\frac{\Delta T}{T}\Big)\) | 2. | \(\frac{\Delta g}{g}=4\pi^2\Big[\frac{\Delta L}{L}-2\frac{\Delta T}{T}\Big]\) |

3. | \(\frac{\Delta g}{g}=4\pi^2\Big[\frac{\Delta L}{L}+2\frac{\Delta T}{T}\Big]\) | 4. | \(\frac{\Delta g}{g}=\frac{\Delta L}{L}-2\Big(\frac{\Delta T}{T}\Big)\) |

Subtopic: Â Errors |

Â 77%

From NCERT

NEET - 2022

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The percentage error in the measurement of \(g\) is:

[Given, \(g=\frac{4\pi^2L}{T^2},L=(10\pm0.1)~\text{cm, }T=(100\pm1)~\text s\)]

1. \(2\%\)

2. \(5\%\)

3. \(3\%\)

4. \(7\%\)

[Given, \(g=\frac{4\pi^2L}{T^2},L=(10\pm0.1)~\text{cm, }T=(100\pm1)~\text s\)]

1. \(2\%\)

2. \(5\%\)

3. \(3\%\)

4. \(7\%\)

Subtopic: Â Errors |

Â 75%

From NCERT

NEET - 2022

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Time intervals measured by a clock give the following readings:

\(1.25\) s, \(1.24\) s, \(1.27\) s, \(1.21\) s and \(1.28\) s.

What is the percentage relative error of the observations?

1. \(2\)%

2. \(4\)%

3. \(16\)%

4. \(1.6\)%

Subtopic: Â Errors |

From NCERT

NEET - 2020

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In an experiment, the percentage errors that occurred in the measurement of physical quantities \(A,\) \(B,\) \(C,\) and \(D\) are \(1\%\), \(2\%\), \(3\%\), and \(4\%\) respectively. Then, the maximum percentage of error in the measurement of \(X,\) where \(X=\frac{A^2 B^{\frac{1}{2}}}{C^{\frac{1}{3}} D^3}\), will be:

1. \(10\%\)

2. \(\frac{3}{13}\%\)

3. \(16\%\)

4. \(-10\%\)

Subtopic: Â Errors |

Â 86%

From NCERT

NEET - 2019

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