In an experiment, four quantities $$a,$$ $$b,$$ $$c$$ and $$d$$ are measured with percentage error $$1$$%, $$2$$%, $$3$$% and $$4$$% respectively. Quantity $$P$$ is calculated as follows:
$$P=\frac{a^3b^2}{cd}$$
Percentage error in $$P$$ is:
1. $$10\%$$
2. $$7\%$$
3. $$4\%$$
4. $$14\%$$
Subtopic: Â Errors |
Â 89%
From NCERT
AIPMT - 2013
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A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate $$g,$$ the acceleration due to gravity. If the maximum percentage errors in the measurement of the distance and the time are $$e_1$$ and $$e_2$$ respectively, the percentage error in the estimation of $$g$$ is:
1. ${e}_{1}+2{e}_{2}$
2. ${e}_{1}+{e}_{2}$
3. ${e}_{1}-2{e}_{2}$
4. ${e}_{2}-{e}_{1}$

Subtopic: Â Errors |
Â 66%
From NCERT
AIPMT - 2010
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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 83%
From NCERT
AIPMT - 2008
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