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14. Differentials, Errors and Approximations
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Q3 of 61 Page 14

Mark the correct alternative in the following:

If an error of k% is made in measuring the radius of a sphere, then percentage error in its volume is


given % error in measuring the radius of a sphere Δr/r×100 =k (if let r is radius)

Find out : (Δv/v)×100 = ?


We know by the formula of the volume of the sphere





So,


=3×k


=3k%

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1

Mark the correct alternative in the following:

If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is:


2

Mark the correct alternative in the following:

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is:


4

Mark the correct alternative in the following:

The height of a cylinder is equal to the radius. If an error of α% is made in the height, then percentage error in its volume is:


5

Mark the correct alternative in the following:

While measuring the side of an equilateral triangle an error of k% is made, the percentage error in its area is


Questions · 61
14. Differentials, Errors and Approximations
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