If the error in the measurement of the radius of a sphere is \(2\%\), then the error in the determination of the volume of the sphere will be:

1. \(4\%\)

2. \(6\%\)

3. \(8\%\)

4. \(2\%\)

Subtopic: Â Errors |

Â 84%

From NCERT

NEET - 2008

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The percentage errors in the measurement of mass and speed are \(2\%\) and \(3\%\) respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed:

1. \(11\%\)

2. \(8\%\)

3. \(5\%\)

4. \(1\%\)

Subtopic: Â Errors |

Â 85%

From NCERT

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A physical quantity \(A\) is related to four observable quantities \(a\), \(b\), \(c\) and \(d\) as follows, \(A= \frac{a^2b^3}{c\sqrt{d}},\) the percentage errors of measurement in \(a\), \(b\), \(c\) and \(d\)* *are \(1\%\), \(3\%\), \(2\%\) and \(2\%\) respectively. The percentage error in quantity \(A\)* *will be:

1. \(12\%\)

2. \(7\%\)

3. \(5\%\)

4. \(14\%\)

Subtopic: Â Errors |

Â 86%

From NCERT

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The mean length of an object is \(5~\text{cm}\). Which of the following measurements is the most accurate?

1. | \(4.9~\text{cm}\) | 2. | \(4.805~\text{cm}\) |

3. | \(5.25~\text{cm}\) | 4. | \(5.4~\text{cm}\) |

Subtopic: Â Errors |

Â 80%

From NCERT

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The thickness of a pencil measured by using a screw gauge (least count \(0.001\) cm) comes out to be \(0.802\) cm. The percentage error in the measurement is:

1. \(0.125 \%\)

2. \(2.43\%\)

3. \(4.12\%\)

4. \(2.14\%\)

Subtopic: Â Errors |

Â 76%

From NCERT

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A physical parameter '\(a\)' can be determined by measuring the parameters \(b\), and using the relation, \(a= \dfrac{b^{\alpha}c^{\beta}}{d^{\gamma}e^{\delta}}.\) If the maximum errors in the measurement of \(b, ~c, ~d,~\text{and}~e\) are \(b_1\%,~c_1\%,~d_1\%~\text{and}~e_1\%\)

1. \((b_1+c_1+d_1+e_1)\%\)

2. \((b_1+c_1-d_1-e_1)\%\)

3. \((\alpha b_1+\beta c_1-\gamma d_1-\delta e_1)\%\)

4. \((\alpha b_1+\beta c_1+\gamma d_1+\delta e_1)\%\)

Subtopic: Â Errors |

Â 80%

From NCERT

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A physical quantity *\(P\)* is given by \(P=\dfrac{A^3 B^{1/2}}{C^{-4}D^{3/2}}.\) The quantity which contributes the maximum percentage error in *\(P\)* is:

1. \(A\)

2. \(B\)

3. \(C\)

4. \(D\)

Subtopic: Â Errors |

Â 68%

From NCERT

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The length of a cylinder is measured with a meter rod having the least count of \(0.1~\text{cm}\). Its diameter is measured with vernier callipers having the least count of \(0.01~\text{cm}\). Given that the length is \(5.0~\text{cm}\) and the radius is \(2.0~\text{cm}\). The percentage error in the calculated value of the volume will be:

1. \(1\%\)

2. \(2\%\)

3. \(3\%\)

4. \(4\%\)

Subtopic: Â Errors |

Â 63%

From NCERT

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A wire has a mass of \((0.3\pm0.003)\) grams, a radius of \((0.5\pm 0.005)\) mm, and a length of \((0.6\pm0.006)\) cm. The maximum percentage error in the measurement of its density will be:

1. \(1\)

2. \(2\)

3. \(3\)

4. \(4\)

Subtopic: Â Errors |

Â 62%

From NCERT

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The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt{\frac{l}{g}}\) where \(l\) is about \(100~\text{cm}\) and is known to have \(1~\text{mm}\) accuracy. The period is about \(2~\text{s}\). The time of \(100\) oscillations is measured by a stopwatch of least count \(0.1~\text{s}\). The percentage error in \(g\) is:

1. \(0.1\%\)

2. \(1\%\)

3. \(0.2\%\)

4. \(0.8\%\)

Subtopic: Â Errors |

Â 51%

From NCERT

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