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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