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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 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:  Errors |
 61%
From NCERT
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