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 85%

From NCERT

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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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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 67%

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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The periods of oscillation of a simple pendulum in an experiment are recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s respectively. The average absolute error will be:

1. 0.1 s

2. 0.11 s

3. 0.01 s

4. 1.0 s

Subtopic: Â Errors |

Â 61%

From NCERT

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